Metrics for VandenBroeck and Keller, Equation (24)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze165.0ms (1.8%)

Memory

-7.4MiB live, 190.7MiB 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)

sample1.1s (11.5%)

Memory

54.1MiB live, 1 046.6MiB allocated

Samples

790.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 618.0ms

ival-tan: 179.0ms (29% of total)

ival-sin: 166.0ms (26.9% of total)

ival-div: 133.0ms (21.5% of total)

ival-mult: 55.0ms (8.9% of total)

ival-add: 39.0ms (6.3% of total)

ival-neg: 33.0ms (5.3% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain363.0ms (4%)

Memory

6.1MiB live, 139.9MiB 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

299.0ms

512×

valid

Compiler

Compiled 98 to 34 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 11.0ms (29.4% of total)

ival-tan: 11.0ms (29.4% of total)

ival-div: 7.0ms (18.7% of total)

ival-mult: 3.0ms (8% 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)

preprocess42.0ms (0.5%)

Memory

-3.6MiB live, 34.6MiB 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: 0.4MiB live, 0.4MiB 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)

simplify17.0ms (0.2%)

Memory

-26.4MiB live, 11.4MiB 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))))
(/.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
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin.f64 B)

localize36.0ms (0.4%)

Memory

-4.7MiB live, 34.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.234375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))

Samples

26.0ms

256×

valid

Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions

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

ival-tan: 6.0ms (33% of total)

ival-sin: 5.0ms (27.5% of total)

ival-div: 3.0ms (16.5% of total)

ival-mult: 2.0ms (11% of total)

ival-add: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB 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 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 (/ (- 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 (/ 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 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 (/ 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 (/ (* 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)) (/ (* 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 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 (/ (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 (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 (/ (* 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)) (/ (* 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 -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 (/ (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 (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 (/ (* 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 (/ 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 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 (/ (* 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 (* -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 (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 (/ (* 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 (* -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 (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>) () ())) ())

Calls

6 calls:

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

simplify225.0ms (2.5%)

Memory

32.0MiB live, 183.6MiB 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	1224	888
3	4469	883
4	7804	881
0	8253	848

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ 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)
(/ (- 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 (/ 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 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)
(/ 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)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (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)))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (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))
(- (/ 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)))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (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))
(/ 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 (/ (* 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))
(* -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 (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))
(* -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 (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))

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

rewrite117.0ms (1.3%)

Memory

-11.5MiB live, 102.6MiB 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 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x (tan.f64 B)))
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (cos.f64 B))
(.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)))
(.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (cos.f64 B))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B))
(.f64 (.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(.f64 (/.f64 x (sin.f64 B)) (.f64 (cos.f64 B) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(.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)))
(.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal -2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 (tan.f64 B) x))
(*.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (.f64 (cos.f64 B) (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (.f64 (cos.f64 B) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 x (tan.f64 B)) (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (exp.f64 (log.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(pow.f64 (/.f64 (tan.f64 B) (neg.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (tan.f64 B)) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 (neg.f64 x)))) (tan.f64 B))
(/.f64 (exp.f64 (log.f64 x)) (tan.f64 B))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (tan.f64 B))
(/.f64 (/.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (tan.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (tan.f64 B))
(/.f64 (/.f64 x #s(literal -1 binary64)) (tan.f64 B))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (tan.f64 B))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (tan.f64 B))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (tan.f64 B))
(/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))
(/.f64 (neg.f64 (neg.f64 x)) (tan.f64 B))
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(exp.f64 (log.f64 (/.f64 x (tan.f64 B))))
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(+.f64 (/.f64 x (tan.f64 B)) #s(literal 0 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 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (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 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.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)) (cos.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (cos.f64 B) (/.f64 #s(literal -1 binary64) (sin.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 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (cos.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (tan.f64 B)))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B))))))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (tan.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(exp.f64 (fma.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64) (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 B))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(.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 (neg.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)) (.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 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)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.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)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 B)))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 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 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(literal 1 binary64))
(pow.f64 (sin.f64 B) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.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 (+.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 #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))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #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 (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 (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 (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)) (pow.f64 (sin.f64 B) #s(literal -1/2 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 (/.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))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (sin.f64 B))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 B))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(literal 0 binary64))

eval69.0ms (0.8%)

Memory: 14.5MiB live, 91.1MiB allocated
Compiler: Compiled 9 615 to 1 195 computations (87.6% saved)

prune121.0ms (1.3%)

Memory

-14.2MiB live, 145.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	537	16	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	538	16	554

Accuracy

100.0%

Counts

554 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B)))
	52.6%	(/.f64 (-.f64 (/.f64 x (tan.f64 B)) (.f64 (sin.f64 B) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)))) (.f64 (sin.f64 B) (/.f64 x (tan.f64 B))))
	52.4%	(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶	99.8%	(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	99.7%	(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	99.7%	(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
▶	85.3%	(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
▶	46.1%	(+.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)))
	60.5%	(+.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))))
	69.4%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B)))))
	73.7%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
	32.1%	(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (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) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))
	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
▶	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	48.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
▶	53.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)))

Compiler

Compiled 564 to 362 computations (35.8% saved)

simplify186.0ms (2%)

Memory

24.6MiB live, 134.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))
cost-diff	128	(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
cost-diff	320	(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))
cost-diff	13696	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.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 #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	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) (sin.f64 B))
cost-diff	0	(*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.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	(tan.f64 B)
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) (tan.f64 B))
cost-diff	128	(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Rules

15 228×	`lower-fma.f64`
15 228×	`lower-fma.f32`
1 752×	`lower-*.f32`
1 746×	`lower-*.f64`
1 718×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	257
0	71	222
1	121	207
2	245	207
3	579	207
4	1297	207
5	1996	207
6	2594	207
7	3999	207
8	5313	207
9	6163	207
10	6277	207
11	6317	207
12	6982	207
13	7646	207
0	8014	204

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
x
(tan.f64 B)
B
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.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
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))
(/.f64 (neg.f64 x) (sin.f64 B))
(neg.f64 x)
x
(sin.f64 B)
B
(cos.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 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))
x
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))
#s(literal 0 binary64)
(pow.f64 (tan.f64 B) #s(literal -2 binary64))
(tan.f64 B)
B
#s(literal -2 binary64)
(/.f64 #s(literal -1 binary64) (tan.f64 B))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)

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

localize211.0ms (2.3%)

Memory

1.3MiB live, 238.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 #s(literal -1 binary64) (tan.f64 B))
accuracy	0.234375	(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))
accuracy	0.24808505861065205	(pow.f64 (tan.f64 B) #s(literal -2 binary64))
accuracy	14.340678423498364	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.234375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	13.569855748104224	(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	15.035376432227974	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
accuracy	0.00390625	(cos.f64 B)
accuracy	0.14453125	(/.f64 (neg.f64 x) (sin.f64 B))
accuracy	0.1640625	(*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))
accuracy	29.65705482124332	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) x) B)
accuracy	32.691465134459314	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
accuracy	0	(neg.f64 x)
accuracy	0.0078125	(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy	0.12890625	(/.f64 (neg.f64 x) (tan.f64 B))

Samples

71.0ms	75×	1	valid
60.0ms	137×	0	valid
44.0ms	39×	2	valid
7.0ms	5×	3	valid

Compiler

Compiled 244 to 38 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-tan: 33.0ms (21.6% of total)

ival-cos: 27.0ms (17.7% of total)

ival-pow: 26.0ms (17.1% of total)

ival-div: 21.0ms (13.8% of total)

adjust: 12.0ms (7.9% of total)

ival-mult: 10.0ms (6.6% of total)

ival-add: 7.0ms (4.6% of total)

ival-sub: 5.0ms (3.3% of total)

ival-sin: 5.0ms (3.3% of total)

ival-neg: 4.0ms (2.6% of total)

exact: 1.0ms (0.7% of total)

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

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

series48.0ms (0.5%)

Memory

-17.3MiB live, 62.7MiB allocated

Counts

24 → 432

Calls

Call 1

Inputs
#s(alt (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (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 #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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) (patch (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (sin.f64 B)) (patch (/.f64 (neg.f64 x) (sin.f64 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 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))) (patch (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) #<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 (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 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -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>) () ())

Outputs
#s(alt (/ (+ 1 (* -1 x)) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x))))))))) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* (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)))))))))))))) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 (neg.f64 x) (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 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) (taylor 0 B) (#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* (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)))))))))) B) (taylor 0 B) (#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<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 (/ (- 1 x) B) (taylor 0 B) (#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 (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#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 (/ (- (+ 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 #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 (/ (- (+ 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 #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 (/ (- 1 x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) B) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) B) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) B) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) B) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) B) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) B) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) B) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) B) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x B)) (taylor 0 B) (#s(alt (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) (patch (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B) (taylor 0 B) (#s(alt (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) (patch (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B) (taylor 0 B) (#s(alt (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) (patch (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -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)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B) (taylor 0 B) (#s(alt (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) (patch (.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x B)) (taylor 0 B) (#s(alt (/.f64 (neg.f64 x) (sin.f64 B)) (patch (/.f64 (neg.f64 x) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* -1/6 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (/.f64 (neg.f64 x) (sin.f64 B)) (patch (/.f64 (neg.f64 x) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))))) B) (taylor 0 B) (#s(alt (/.f64 (neg.f64 x) (sin.f64 B)) (patch (/.f64 (neg.f64 x) (sin.f64 B)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.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 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	B	@	inf	((+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/ (neg x) (tan B)) (neg x) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (/ (neg x) (sin B)) (cos B)) (/ (neg x) (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))) (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B)))) (+ (neg (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))))) (/ 1 (sin B))) (- 0 (pow (tan B) -2)) (/ 1 (sin B)) (cos B) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/ 1 (tan B)) (pow (tan B) -2) (/ -1 (tan B)))
6.0ms	B	@	-inf	((+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/ (neg x) (tan B)) (neg x) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (/ (neg x) (sin B)) (cos B)) (/ (neg x) (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))) (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B)))) (+ (neg (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))))) (/ 1 (sin B))) (- 0 (pow (tan B) -2)) (/ 1 (sin B)) (cos B) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/ 1 (tan B)) (pow (tan B) -2) (/ -1 (tan B)))
5.0ms	B	@	0	((+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/ (neg x) (tan B)) (neg x) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (/ (neg x) (sin B)) (cos B)) (/ (neg x) (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))) (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B)))) (+ (neg (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))))) (/ 1 (sin B))) (- 0 (pow (tan B) -2)) (/ 1 (sin B)) (cos B) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/ 1 (tan B)) (pow (tan B) -2) (/ -1 (tan B)))
4.0ms	x	@	0	((+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/ (neg x) (tan B)) (neg x) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (/ (neg x) (sin B)) (cos B)) (/ (neg x) (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))) (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B)))) (+ (neg (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))))) (/ 1 (sin B))) (- 0 (pow (tan B) -2)) (/ 1 (sin B)) (cos B) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/ 1 (tan B)) (pow (tan B) -2) (/ -1 (tan B)))
3.0ms	x	@	inf	((+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/ (neg x) (tan B)) (neg x) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (/ (neg x) (sin B)) (cos B)) (/ (neg x) (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))) (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B)))) (+ (neg (* x (/ (- 0 (pow (tan B) -2)) (/ -1 (tan B))))) (/ 1 (sin B))) (- 0 (pow (tan B) -2)) (/ 1 (sin B)) (cos B) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/ 1 (tan B)) (pow (tan B) -2) (/ -1 (tan B)))

simplify361.0ms (4%)

Memory

23.1MiB live, 184.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 268×	`lower-fma.f64`
18 268×	`lower-fma.f32`
7 228×	`lower-+.f64`
7 228×	`lower-+.f32`
5 152×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	4277
1	990	4234
2	3126	4147
0	8172	3961

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 431

Calls

Call 1

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

Outputs
(/ (+ 1 (* -1 x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x))))))))) B)
(/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) B) B (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (+ 1 (+ (* -1 x) (* (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)))))))))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64))) (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B)
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)) B)
(/ (+ (* -1 x) (* (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)))))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x #s(literal 2/945 binary64)) B) B (.f64 #s(literal 1/45 binary64) x)) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)
B
(* B (+ 1 (* 1/3 (pow B 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal 1 binary64)) B)
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 B B) #s(literal 2/15 binary64)) (.f64 B B) #s(literal 1/3 binary64)) (.f64 B B) #s(literal 1 binary64)) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) B (-.f64 #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 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) B) B (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (.f64 B B) (-.f64 #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 (fma.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64))) (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) B (-.f64 #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 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) B) B (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (.f64 B B) (-.f64 #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 (fma.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64))) (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B)
(.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B)
(/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -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)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (+ (* -1 x) (* -1/6 (* (pow B 2) x))) B)
(/.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 B B) #s(literal -1 binary64))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))))) B)
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -7/360 binary64) (.f64 B B) #s(literal -1/6 binary64))) (*.f64 B B) (neg.f64 x)) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (+ (* 1/120 x) (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x)))))))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x #s(literal -31/15120 binary64)) B) B (.f64 #s(literal -7/360 binary64) x)) (.f64 B B) (.f64 #s(literal -1/6 binary64) x)) (.f64 B B) (neg.f64 x)) B)
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 B B) #s(literal 1 binary64)) x) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) 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 (fma.f64 (fma.f64 (.f64 (.f64 x #s(literal 2/945 binary64)) B) (neg.f64 B) (.f64 #s(literal -1/45 binary64) x)) (.f64 B B) (.f64 #s(literal -1/3 binary64) x)) (.f64 B B) x) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) B (-.f64 #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 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) B) B (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (.f64 B B) (-.f64 #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 (fma.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64))) (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(pow B 2)
(*.f64 B B)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B) B)
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 B B) #s(literal -1/3 binary64)) (.f64 B B) #s(literal 1 binary64)) B) B)
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 B B) #s(literal 2/45 binary64)) (.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (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 (fma.f64 (fma.f64 (.f64 (.f64 x #s(literal 2/945 binary64)) B) B (.f64 #s(literal 1/45 binary64) x)) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
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(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B x))) (neg.f64 x))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B x))) (neg.f64 x))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (.f64 B x))) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(* -1 (/ x (sin B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x))) (neg.f64 x))

rewrite178.0ms (2%)

Memory

-29.3MiB live, 165.3MiB allocated

Rules

3 902×	`lower-*.f32`
3 896×	`lower-*.f64`
3 778×	`lower-/.f32`
3 764×	`lower-/.f64`
2 318×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	195
0	71	156
1	272	138
2	1973	132
0	9073	132

Stop Event

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

Counts

24 → 1 379

Calls

Call 1

Inputs
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.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)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))
(/.f64 (neg.f64 x) (sin.f64 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 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(cos.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))
(pow.f64 (tan.f64 B) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (tan.f64 B))

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

eval281.0ms (3.1%)

Memory: 44.7MiB live, 339.4MiB allocated
Compiler: Compiled 39 929 to 3 563 computations (91.1% saved)

prune277.0ms (3%)

Memory

-0.8MiB live, 403.0MiB allocated

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	1 958	30	1 988
Fresh	9	2	11
Picked	4	1	5
Done	0	0	0
Total	1 971	33	2 004

Accuracy

100.0%

Counts

2 004 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.4%	(/.f64 (fma.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64))) x) (sin.f64 B) (/.f64 #s(literal 1 binary64) (tan.f64 B))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (sin.f64 B)))
	66.3%	(/.f64 (fma.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B) (sin.f64 B)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))
▶	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	71.1%	(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	59.3%	(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
	60.5%	(+.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))))
▶	21.2%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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)))
	48.1%	#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	90.8%	#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x))
	20.7%	#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 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
▶	27.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
	35.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) B))
	45.7%	#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))
▶	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
	38.3%	#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))))
	35.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
	45.3%	#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))))
✓	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	35.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
	45.6%	#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))
	53.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)))
	53.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B)))
	28.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
▶	22.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
	53.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
	48.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
	53.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
	40.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 B x)) (/.f64 (neg.f64 x) B))))
	28.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
	28.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
	28.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))

Compiler

Compiled 1 064 to 631 computations (40.7% saved)

simplify222.0ms (2.4%)

Memory

12.1MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
cost-diff	128	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff	512	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)
cost-diff	576	(-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)))
cost-diff	1664	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))
cost-diff	0	(-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) 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	(/.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

12 066×	`lower-fma.f32`
12 060×	`lower-fma.f64`
3 204×	`lower-*.f32`
3 190×	`lower-*.f64`
2 902×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	407
0	80	397
1	153	349
2	400	307
3	1847	307
4	5131	307
0	8116	302

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

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

localize258.0ms (2.8%)

Memory

-26.0MiB live, 235.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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)))
accuracy	13.569855748104224	(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	15.035376432227974	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
accuracy	32.32718860727386	#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
accuracy	0.0703125	(.f64 (.f64 x x) x)
accuracy	6.749944267415557	(-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)))
accuracy	27.593537798757975	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
accuracy	32.691465134459314	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
accuracy	0.078125	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))
accuracy	0.1953125	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))
accuracy	13.46339619063742	(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)
accuracy	32.65368158496398	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
accuracy	0.00390625	(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
accuracy	32.691465134459314	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
accuracy	33.14557656079331	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(sin.f64 B)
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy	0.12890625	(/.f64 x (tan.f64 B))

Samples

98.0ms	75×	1	valid
65.0ms	39×	2	valid
55.0ms	137×	0	valid
8.0ms	5×	3	valid

Compiler

Compiled 356 to 44 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-add: 35.0ms (19.4% of total)

ival-tan: 29.0ms (16.1% of total)

ival-cos: 24.0ms (13.3% of total)

ival-mult: 22.0ms (12.2% of total)

ival-div: 16.0ms (8.9% of total)

adjust: 15.0ms (8.3% of total)

ival-pow: 12.0ms (6.7% of total)

const: 11.0ms (6.1% of total)

ival-sub: 8.0ms (4.4% of total)

ival-sin: 7.0ms (3.9% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (1.1%)

Memory

-23.8MiB live, 51.4MiB allocated

Counts

23 → 432

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 #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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) x) B)) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) x) B) (patch (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) x) B) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (patch (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B) (patch (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (patch (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(approx ( x (/ 1 (tan B))) (/.f64 x 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 #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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<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>) () ())

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 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 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 (/ 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>) () ())) ())
#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 (tan.f64 B)) (patch (/.f64 x (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 (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#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 (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#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 (/ (- (+ 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 #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 (/ (- (+ 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 #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 (/ (- 1 x) B) (taylor 0 B) (#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 (/ (- 1 x) B) (taylor 0 B) (#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 (/ (- 1 x) B) (taylor 0 B) (#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>) () ())) ())
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#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	((- (/ 1 (sin B)) (/ x (tan B))) (/ 1 (sin B)) (sin B) (/ x (tan B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (* 1 (+ (+ (* x x) x) 1)) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (+ (* 1/3 x) 1/6) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (* x x) x) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2))
7.0ms	B	@	inf	((- (/ 1 (sin B)) (/ x (tan B))) (/ 1 (sin B)) (sin B) (/ x (tan B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (* 1 (+ (+ (* x x) x) 1)) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (+ (* 1/3 x) 1/6) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (* x x) x) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2))
5.0ms	x	@	-inf	((- (/ 1 (sin B)) (/ x (tan B))) (/ 1 (sin B)) (sin B) (/ x (tan B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (* 1 (+ (+ (* x x) x) 1)) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (+ (* 1/3 x) 1/6) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (* x x) x) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2))
5.0ms	x	@	inf	((- (/ 1 (sin B)) (/ x (tan B))) (/ 1 (sin B)) (sin B) (/ x (tan B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (* 1 (+ (+ (* x x) x) 1)) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (+ (* 1/3 x) 1/6) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (* x x) x) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2))
4.0ms	B	@	-inf	((- (/ 1 (sin B)) (/ x (tan B))) (/ 1 (sin B)) (sin B) (/ x (tan B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (* 1 (+ (+ (* x x) x) 1)) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (- 1/2 (* 1/2 (cos (+ B B)))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (+ (* 1/3 x) 1/6) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (* x x) x) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2))

simplify190.0ms (2.1%)

Memory

38.4MiB live, 185.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 380×	`lower-fma.f64`
17 380×	`lower-fma.f32`
6 424×	`lower-+.f64`
6 424×	`lower-+.f32`
4 830×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	4650
1	933	4511
2	2981	4391
0	8216	4117

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 431

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 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)
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))))
(/ 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)
(/ (- 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 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) 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 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(- 1 x)
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)
1
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x))))
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x))))
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x))))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- 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)
(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 (/ 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)
(/ 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)
(/ (- 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 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)) (/ (* 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 (sin B))
(/ 1 (sin B))
(/ 1 (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))
(- (/ 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) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 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)))
(* B (+ 1/6 (* 1/3 x)))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (+ 1/6 (* 1/3 x)))
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (+ 1/6 (* 1/3 x)))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(- (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)))
(- 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 (/ (* 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))
(- (/ 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)))
(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 (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 (sin B))
(/ 1 (sin B))
(/ 1 (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))
(- (/ 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) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 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)))
(* B (+ 1/6 (* 1/3 x)))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* (pow B 2) (+ 1/6 (* 1/3 x)))
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (+ 1/6 (* 1/3 x)))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(- (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)))
(- 1/2 (* 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)))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (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)))
(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 (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 (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 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
1
(+ 1 (* -1 x))
(+ 1 (* -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 (* 1/6 (pow B 2))) B)
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ 1 (* 1/6 (pow B 2)))
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))
(+ 1 (* 1/6 (pow B 2)))
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 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
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 x)))
(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)))
(* -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))
1/6
(+ 1/6 (* 1/3 x))
(+ 1/6 (* 1/3 x))
(+ 1/6 (* 1/3 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)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -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))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (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 B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -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))))
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (* 1/3 (pow B 2)) 1))
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))
(* 1/3 (* (pow B 2) x))
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (+ 1 (/ 1 x))))
(* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* (pow x 5) (- (/ 1 (pow x 3)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -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 (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))
(* 1/3 x)
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* -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))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -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))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (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 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -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 (+ 1 (* -1/3 (pow B 2)))) B))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ 1 (* -1/3 (pow B 2)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))
(* 1/3 (* (pow B 2) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (+ 1 (/ 1 x))))
(* -1 (* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)))))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -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 (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))
(* 1/3 x)
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* -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))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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

rewrite259.0ms (2.8%)

Memory

14.2MiB live, 291.3MiB allocated

Rules

4 870×	`lower-/.f32`
4 856×	`lower-/.f64`
4 016×	`lower-*.f32`
4 002×	`lower-*.f64`
3 638×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	331
0	80	275
1	351	246
2	2957	232
0	8756	232

Stop Event

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

Counts

23 → 823

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

Outputs
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(.f64 (-.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #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 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B)))))
(.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)) (/.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 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (tan.f64 B) (.f64 x (sin.f64 B)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))))) (neg.f64 (neg.f64 (.f64 (tan.f64 B) (sin.f64 B)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 B)) (.f64 (neg.f64 (sin.f64 B)) x))) (neg.f64 (.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) (.f64 (neg.f64 (sin.f64 B)) (neg.f64 x)))) (neg.f64 (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (.f64 (sin.f64 B) (neg.f64 x)))) (neg.f64 (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) (neg.f64 (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)))) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (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 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)) (neg.f64 (/.f64 x (*.f64 (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 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))))))
(/.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 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B)))) (neg.f64 (.f64 (tan.f64 B) (sin.f64 B))))
(/.f64 (-.f64 (neg.f64 (tan.f64 B)) (.f64 (neg.f64 (sin.f64 B)) x)) (.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)))
(/.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 (.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 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B))))
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x))) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (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))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)) (neg.f64 (/.f64 x (*.f64 (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 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #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))) (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B))))
(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x))))))
(/.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 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #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) (neg.f64 (/.f64 (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.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))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) (.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))))))
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (+.f64 #s(literal 0 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) (.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B)))))) (/.f64 (.f64 (.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) (.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B)))))))
(-.f64 #s(literal 0 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))
#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
(.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64))))
(.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/18 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/18 binary64)))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/18 binary64)))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/18 binary64))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/18 binary64)))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/18 binary64)))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) x))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 B (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 B B))))) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 B B)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 B) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/4 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 B))))

eval204.0ms (2.2%)

Memory: 12.9MiB live, 313.3MiB allocated
Compiler: Compiled 39 293 to 2 868 computations (92.7% saved)

prune210.0ms (2.3%)

Memory

5.8MiB live, 391.5MiB allocated

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	1 233	21	1 254
Fresh	11	16	27
Picked	3	2	5
Done	0	1	1
Total	1 247	40	1 287

Accuracy

100.0%

Counts

1 287 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f64 (fma.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B) (sin.f64 B)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))
▶	99.7%	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
	27.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #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)))))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	59.3%	(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
	21.2%	(+.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)))
	59.1%	(+.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)))
	48.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 B B) #s(literal 7/360 binary64)) (.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))
	48.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) B)))
	27.6%	(.f64 (-.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
	48.1%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	90.8%	#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x))
▶	20.7%	#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 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	43.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B))
▶	7.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
	45.7%	#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))
	43.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B))
	35.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
	48.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(approx (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (fma.f64 (.f64 (.f64 B B) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x #s(literal 1 binary64))) x) B))
	45.3%	#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))))
✓	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	44.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (+.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 B (+.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))))
	53.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)))
	53.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B)))
	28.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (neg.f64 x)) B))
	23.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
	28.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
✓	22.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
	53.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
	48.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
	37.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)))
	48.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
	53.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 (*.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
▶	49.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
▶	2.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)))
	28.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
	28.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
	28.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))

Compiler

Compiled 1 456 to 795 computations (45.4% saved)

simplify173.0ms (1.9%)

Memory

-13.5MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff	0	#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 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
cost-diff	128	(*.f64 #s(literal 2 binary64) B)
cost-diff	128	(*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff	128	(.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) x))
cost-diff	256	(/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
cost-diff	512	(/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))
cost-diff	0	#s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
cost-diff	320	(fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)
cost-diff	0	#s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)))
cost-diff	0	(tan.f64 B)
cost-diff	0	(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
cost-diff	6400	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
cost-diff	6720	(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))

Rules

15 826×	`lower-fma.f32`
15 816×	`lower-fma.f64`
3 694×	`lower-+.f32`
3 692×	`lower-+.f64`
2 962×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	506
0	96	495
1	188	468
2	458	441
3	1826	440
4	7164	440
0	8095	429

Stop Event

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

Calls

Call 1

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

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

localize414.0ms (4.5%)

Memory

7.4MiB live, 428.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	14.037612163729921	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy	15.035376432227974	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	33.102473947636426	#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 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
accuracy	6.749944267415557	(-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) x)))
accuracy	27.593537798757975	(/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
accuracy	29.413417789554643	#s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x))
accuracy	32.691465134459314	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
accuracy	0.078125	(fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))
accuracy	0.1171875	(fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))
accuracy	0.32421875	(*.f64 #s(literal 1/3 binary64) B)
accuracy	32.65368158496398	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
accuracy	0.1953125	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))
accuracy	0.2265625	(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)
accuracy	29.900214961702268	#s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))
accuracy	32.65368158496398	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)))
accuracy	0.01171875	(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
accuracy	0.14453125	(*.f64 x (sin.f64 B))
accuracy	0.1484375	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
accuracy	0.171875	(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))

Samples

115.0ms	58×	2	valid
110.0ms	19×	3	valid
86.0ms	136×	0	valid
37.0ms	43×	1	valid

Compiler

Compiled 388 to 58 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-div: 77.0ms (25% of total)

ival-cos: 64.0ms (20.8% of total)

ival-mult: 38.0ms (12.4% of total)

ival-tan: 36.0ms (11.7% of total)

ival-add: 30.0ms (9.8% of total)

adjust: 23.0ms (7.5% of total)

ival-pow: 12.0ms (3.9% of total)

ival-sub: 8.0ms (2.6% of total)

const: 8.0ms (2.6% of total)

ival-sin: 6.0ms (2% of total)

ival-sqrt: 3.0ms (1% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series105.0ms (1.1%)

Memory

8.1MiB live, 97.7MiB allocated

Counts

26 → 480

Calls

Call 1

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

Outputs
#s(alt (- 1 x) (taylor 0 B) (#s(alt (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) (taylor 0 B) (#s(alt (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) (taylor 0 B) (#s(alt (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) (taylor 0 B) (#s(alt (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) (patch (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) (patch (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) (patch (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) (patch (/.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* B (- 1 x)) (taylor 0 B) (#s(alt (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (patch (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* B (- (+ 1 (* (pow B 2) (- 1/3 (* -1/6 x)))) x)) (taylor 0 B) (#s(alt (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (patch (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (* 1/120 x)))) (* -1/6 x)))) x)) (taylor 0 B) (#s(alt (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (patch (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (* -1/5040 x)))) (* 1/120 x)))) (* -1/6 x)))) x)) (taylor 0 B) (#s(alt (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (patch (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) #<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 (/ (- 1 x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) 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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) 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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (patch #s(approx (/ (- (+ ( (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (patch #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (patch #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (patch #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (patch #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 5)) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (patch (-.f64 #s(approx ( 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (patch (-.f64 #s(approx ( 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (patch (-.f64 #s(approx ( 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (patch (-.f64 #s(approx ( 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	B	@	-inf	((/ (- (tan B) (* x (sin B))) (sin B)) (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (- (tan B) (* x (sin B))) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (* (+ (* 1/3 x) 1/6) B) (+ (* 1/3 x) 1/6) (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (* (+ (+ (* x x) x) 1) (* (* x x) x)) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (* 2 B) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (* x (sin B)) (* 1/3 B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* 1 (+ (+ (* x x) x) 1)) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (+ (* (cos (* 2 B)) -1/2) 1/2))
7.0ms	B	@	inf	((/ (- (tan B) (* x (sin B))) (sin B)) (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (- (tan B) (* x (sin B))) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (* (+ (* 1/3 x) 1/6) B) (+ (* 1/3 x) 1/6) (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (* (+ (+ (* x x) x) 1) (* (* x x) x)) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (* 2 B) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (* x (sin B)) (* 1/3 B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* 1 (+ (+ (* x x) x) 1)) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (+ (* (cos (* 2 B)) -1/2) 1/2))
6.0ms	B	@	0	((/ (- (tan B) (* x (sin B))) (sin B)) (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (- (tan B) (* x (sin B))) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (* (+ (* 1/3 x) 1/6) B) (+ (* 1/3 x) 1/6) (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (* (+ (+ (* x x) x) 1) (* (* x x) x)) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (* 2 B) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (* x (sin B)) (* 1/3 B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* 1 (+ (+ (* x x) x) 1)) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (+ (* (cos (* 2 B)) -1/2) 1/2))
5.0ms	x	@	inf	((/ (- (tan B) (* x (sin B))) (sin B)) (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (- (tan B) (* x (sin B))) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (* (+ (* 1/3 x) 1/6) B) (+ (* 1/3 x) 1/6) (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (* (+ (+ (* x x) x) 1) (* (* x x) x)) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (* 2 B) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (* x (sin B)) (* 1/3 B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* 1 (+ (+ (* x x) x) 1)) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (+ (* (cos (* 2 B)) -1/2) 1/2))
5.0ms	x	@	-inf	((/ (- (tan B) (* x (sin B))) (sin B)) (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (- (tan B) (* x (sin B))) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (* (+ (* 1/3 x) 1/6) B) (+ (* 1/3 x) 1/6) (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/ (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) B) (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (* (+ (+ (* x x) x) 1) (* (* x x) x)) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (* 2 B) (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (* x (sin B)) (* 1/3 B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* 1 (+ (+ (* x x) x) 1)) (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (+ (* (cos (* 2 B)) -1/2) 1/2))

simplify208.0ms (2.3%)

Memory

2.4MiB live, 233.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 272×	`lower-fma.f64`
11 272×	`lower-fma.f32`
5 230×	`lower-+.f64`
5 230×	`lower-+.f32`
4 674×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	5668
1	1482	5575
2	4540	5411
0	8234	5039

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 479

Calls

Call 1

Inputs
(- 1 x)
(- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(* B (- 1 x))
(* B (- (+ 1 (* (pow B 2) (- 1/3 (* -1/6 x)))) x))
(* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (* 1/120 x)))) (* -1/6 x)))) x))
(* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (* -1/5040 x)))) (* 1/120 x)))) (* -1/6 x)))) 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))))))))
(/ (- 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 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) 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 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- 1 x) B)
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(* 2 B)
(* 2 B)
(* 2 B)
(* 2 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 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 (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))
(* B x)
(* B (+ x (* -1/6 (* (pow B 2) x))))
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* 1/120 (* (pow B 2) x))))))
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) x)) (* 1/120 x)))))))
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 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)
(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))))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos 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)))
(* B (+ 1/6 (* 1/3 x)))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(- (/ 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)))
(* B (+ 1/6 (* 1/3 x)))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* 1/3 (* B x))
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(* 2 B)
(* 2 B)
(* 2 B)
(* 2 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 (* 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 (+ 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)))))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 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)))
(+ 1/2 (* -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))))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos 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)))
(* B (+ 1/6 (* 1/3 x)))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* B (+ 1/6 (* 1/3 x)))
(* -1 (* B (- (* -1/3 x) 1/6)))
(* -1 (* B (- (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)) 1/6)))
(* -1 (* B (- (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)) 1/6)))
(* -1 (* B (- (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)) 1/6)))
(- (/ 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)))
(* B (+ 1/6 (* 1/3 x)))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(* 1/3 (* B x))
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x))))
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x))))
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x))))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(/ (- (+ 1 (+ x (pow x 2))) (* (pow x 3) (+ 1 (+ x (pow x 2))))) (* B (pow (+ 1 (+ x (pow x 2))) 2)))
(* 2 B)
(* 2 B)
(* 2 B)
(* 2 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)))
(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 (+ 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)))))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 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)))
(+ 1/2 (* -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 (cos B))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 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)))
(/ (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 (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 (* 1/6 (pow B 2))) B)
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(* 1/6 B)
(+ (* 1/6 B) (* 1/3 (* B x)))
(+ (* 1/6 B) (* 1/3 (* B x)))
(+ (* 1/6 B) (* 1/3 (* B x)))
1/6
(+ 1/6 (* 1/3 x))
(+ 1/6 (* 1/3 x))
(+ 1/6 (* 1/3 x))
(+ (* 1/6 B) (/ 1 B))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 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 (* 1/6 (pow B 2))) B)
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(/ 1 B)
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(pow x 3)
(* (pow x 3) (+ 1 x))
(* (pow x 3) (+ 1 (* x (+ 1 x))))
(* (pow x 3) (+ 1 (* x (+ 1 x))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 3 x))))
(+ 1 (* x (+ 2 (* x (+ 3 (* 2 x))))))
(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))))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (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
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 (* -1 x))))))
(* -1 x)
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* -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 (sin B)))
(* x (- (/ (sin B) (* x (cos B))) (sin B)))
(* x (- (/ (sin B) (* x (cos B))) (sin B)))
(* x (- (/ (sin B) (* x (cos B))) (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))))
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* 1/3 (* B x))
(* x (+ (* 1/6 (/ B x)) (* 1/3 B)))
(* x (+ (* 1/6 (/ B x)) (* 1/3 B)))
(* x (+ (* 1/6 (/ B x)) (* 1/3 B)))
(* 1/3 x)
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (- (* 1/3 B) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 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))))
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (* 1/3 B) (/ 1 B)))
(* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B)))
(* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B)))
(* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 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)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 x)))
(* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 3 (pow x 2))))))
(* -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))))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (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))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (+ 1 (/ 1 x))))
(* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* (pow x 5) (- (/ 1 (pow x 3)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos 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 (sin B)))
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (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 (+ 1 (* -1/3 (pow B 2)))) B))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* 1/3 (* B x))
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x)))))
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x)))))
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(* -1 (* x (+ (* -1/3 B) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 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 (+ 1 (* -1/3 (pow B 2)))) B))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ (* -1/3 B) (/ 1 B))))
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))
(* -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)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))))
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 2 (/ 1 x))) x)) 2) x))))
(* -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)))))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* 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))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (+ 1 (/ 1 x))))
(* -1 (* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)))))

Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 1/6 binary64) #s(literal 1/3 binary64)) (*.f64 B B) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
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(.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal 1 binary64) (.f64 B x))) (/.f64 #s(literal 1 binary64) B)) x)
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))
(.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal 1 binary64) (.f64 B x))) (/.f64 #s(literal 1 binary64) B)) x)
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))
(.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal 1 binary64) (.f64 B x))) (/.f64 #s(literal 1 binary64) B)) x)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 B x)) (/.f64 #s(literal 1 binary64) B)) x)
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 B x)) (/.f64 #s(literal 1 binary64) B)) x)
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 B x)) (/.f64 #s(literal 1 binary64) B)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (/ 1 x)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 2 (/ 1 x))) x)) 2) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) x)) x)) (.f64 (.f64 (.f64 x x) x) x))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)) #s(literal 1/2 binary64)))))
(* x (sin B))
(*.f64 (sin.f64 B) x)
(* x (sin B))
(*.f64 (sin.f64 B) x)
(* x (sin B))
(*.f64 (sin.f64 B) x)
(* x (sin B))
(*.f64 (sin.f64 B) x)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))

rewrite303.0ms (3.3%)

Memory

-40.9MiB live, 368.8MiB allocated

Rules

6 834×	`lower-*.f32`
6 818×	`lower-*.f64`
4 030×	`lower-/.f32`
4 018×	`lower-/.f64`
3 548×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	455
0	96	406
1	425	377
2	3604	374
0	10946	367

Stop Event

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

Counts

26 → 622

Calls

Call 1

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

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

eval173.0ms (1.9%)

Memory: -3.2MiB live, 218.7MiB allocated
Compiler: Compiled 28 869 to 2 465 computations (91.5% saved)

prune410.0ms (4.5%)

Memory

29.4MiB live, 307.2MiB allocated

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	1 102	24	1 126
Fresh	15	17	32
Picked	4	1	5
Done	0	3	3
Total	1 121	45	1 166

Accuracy

100.0%

Counts

1 166 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #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)))))
	48.0%	(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (tan.f64 B))
	99.8%	(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B))
	75.8%	(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 #s(literal 1 binary64) x)) (tan.f64 B))
	99.7%	(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 B) x)) #s(literal 1 binary64)) x)) (tan.f64 B))
	53.6%	(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	59.3%	(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
	48.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 B B) #s(literal 7/360 binary64)) (.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))
	27.6%	(.f64 (-.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
	48.1%	#s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	20.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
	33.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (sin.f64 B))))
	20.7%	#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 B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	16.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal 1 binary64)) (.f64 B B)))))
	22.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) B)))
	23.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
	7.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) B))
	7.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)))) B))
	7.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (.f64 (*.f64 x x) x) x))) B))
	11.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) #s(literal 1 binary64))) B))
	45.7%	#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))
	35.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
✓	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	53.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)))
	28.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (neg.f64 x)) B))
	28.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
✓	22.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
	53.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
	48.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
	48.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
	48.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
	53.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
	23.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B #s(approx (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/.f64 #s(literal 1 binary64) B)))))
	2.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)))))
✓	2.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)))
	1.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/18 binary64))))) B)))
	2.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) (*.f64 #s(literal 1/3 binary64) x)) B)))
	3.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))
	28.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))))
	2.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x))))
	2.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 #s(literal 1/3 binary64) B) x))))
	28.3%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
	28.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
	28.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))

Compiler

Compiled 2 167 to 722 computations (66.7% saved)

regimes178.0ms (2%)

Memory

-6.6MiB live, 121.0MiB allocated

Counts

92 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 #s(literal 1/3 binary64) B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) (*.f64 #s(literal 1/3 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) 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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B #s(approx (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/.f64 #s(literal 1 binary64) B)))))
#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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 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))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#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 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 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)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #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 B x)) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal 1 binary64)) (.f64 B 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) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 (*.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(approx (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (fma.f64 (.f64 (.f64 B B) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/18 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))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) #s(literal 1 binary64))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 B B) #s(literal 7/360 binary64)) (.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (.f64 (*.f64 x x) x) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (+.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 B (+.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B))
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 #s(literal 1 binary64) x)) (tan.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
#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 B)) #s(literal -1/2 binary64) #s(literal 1/2 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 #s(literal 2 binary64) B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)))
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(+.f64 (neg.f64 (/.f64 (*.f64 x (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)))
#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x))
(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.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)))) (/.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 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.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 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(/.f64 (fma.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B) (sin.f64 B)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))
(+.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (fma.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64))) x) (sin.f64 B) (/.f64 #s(literal 1 binary64) (tan.f64 B))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 x (tan.f64 B)) (.f64 (sin.f64 B) (.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 x x)))) (.f64 (sin.f64 B) (/.f64 x (tan.f64 B))))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (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) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))

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

Calls

3 calls:

118.0ms	x
29.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
24.0ms	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)

regimes71.0ms (0.8%)

Memory

-14.8MiB live, 100.9MiB allocated

Counts

66 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 #s(literal 1/3 binary64) B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) (*.f64 #s(literal 1/3 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) 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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B #s(approx (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/.f64 #s(literal 1 binary64) B)))))
#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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 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))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#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 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 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)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #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 B x)) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal 1 binary64)) (.f64 B 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) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 (*.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(approx (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (fma.f64 (.f64 (.f64 B B) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/18 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))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) #s(literal 1 binary64))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 B B) #s(literal 7/360 binary64)) (.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (.f64 (*.f64 x x) x) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (+.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 B (+.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B))
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 #s(literal 1 binary64) x)) (tan.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
#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 B)) #s(literal -1/2 binary64) #s(literal 1/2 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 #s(literal 2 binary64) B)) #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)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)))
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (tan.f64 B))
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))

Outputs

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

Calls

3 calls:

20.0ms	B
19.0ms	x
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
77.7%	2	`B`
98.8%	3	`x`
98.8%	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)

regimes34.0ms (0.4%)

Memory

8.0MiB live, 51.8MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 #s(literal 1/3 binary64) B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) (*.f64 #s(literal 1/3 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) 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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B #s(approx (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/.f64 #s(literal 1 binary64) B)))))
#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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 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))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#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 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 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)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #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 B x)) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal 1 binary64)) (.f64 B 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) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 (*.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(approx (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (fma.f64 (.f64 (.f64 B B) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/18 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))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) #s(literal 1 binary64))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 B B) #s(literal 7/360 binary64)) (.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (.f64 (*.f64 x x) x) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (+.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 B (+.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	3	`x`
87.3%	4	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes48.0ms (0.5%)

Memory

6.8MiB live, 45.6MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 #s(literal 1/3 binary64) B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) (*.f64 #s(literal 1/3 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) 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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B #s(approx (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/.f64 #s(literal 1 binary64) B)))))
#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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 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))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#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 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 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)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #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 B x)) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal 1 binary64)) (.f64 B 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) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 (*.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(approx (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (fma.f64 (.f64 (.f64 B B) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/18 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))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) #s(literal 1 binary64))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 B B) #s(literal 7/360 binary64)) (.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (.f64 (*.f64 x x) x) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (+.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 B (+.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (/ (neg x) (tan B)) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.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
14.0ms	(+.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
74.0%	2	`B`
74.6%	3	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
74.2%	3	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes45.0ms (0.5%)

Memory

-11.7MiB live, 66.2MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 #s(literal 1/3 binary64) B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) (*.f64 #s(literal 1/3 binary64) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) 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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (/ (- (* 1 (+ (+ (* x x) x) 1)) (* (+ (+ (* x x) x) 1) (* (* x x) x))) (* (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1))) (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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B #s(approx (+ (* (* 1/3 B) x) (/ (- 1 x) B)) (/.f64 #s(literal 1 binary64) B)))))
#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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (+ (* 1/6 B) (+ (* (* 1/3 B) x) (/ (- 1 x) B))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) #s(approx (* (+ (* 1/3 x) 1/6) B) (.f64 (.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 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))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#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 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #s(literal 1 binary64) x) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 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)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) #s(approx (sqrt (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #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 B x)) (/.f64 (neg.f64 x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* 2 B)) -1/2) 1/2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 B B) #s(literal 1 binary64)) (.f64 B 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) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 (*.f64 B (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(approx (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) (fma.f64 (.f64 (.f64 B B) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/3 binary64))) x #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 B B) #s(literal 1/6 binary64)) (.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64))) B) B (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/18 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))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) #s(literal 1 binary64))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 B B) #s(literal 7/360 binary64)) (.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (.f64 (*.f64 x x) x) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (+.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 B (+.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B)) (.f64 B B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(approx (* 1 (+ (+ (* x x) x) 1)) (fma.f64 x x x)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) #s(approx ( (+ (+ (* x x) x) 1) (+ (+ (* x x) x) 1)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (* (/ (neg x) (sin B)) (cos B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 B) B) (-.f64 (.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (.f64 x #s(literal -1/336 binary64)))) (fma.f64 #s(literal -1/24 binary64) x (.f64 x #s(literal 23/360 binary64)))) (.f64 B B) (.f64 #s(literal 1/3 binary64) x)) (.f64 B B) (neg.f64 x)) B)))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #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)))
13.0ms	x
13.0ms	B

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
49.0%	1	`B`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes22.0ms (0.2%)

Memory

-7.4MiB live, 34.9MiB allocated

Counts

20 → 1

Calls

Call 1

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

8.0ms	B
6.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
6.0ms	x

Results

Accuracy	Segments	Branch
48.9%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
48.9%	1	`B`
48.9%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes13.0ms (0.1%)

Memory

-17.2MiB live, 21.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

3.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
3.0ms	B
3.0ms	x

Results

Accuracy	Segments	Branch
48.5%	3	`x`
42.6%	3	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
28.7%	1	`B`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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
2.0ms	B

Results

Accuracy	Segments	Branch
22.9%	1	`B`
22.9%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
22.9%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes7.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Accuracy

Total -1.1b remaining (-1.7%)

Threshold costs -1.1b (-1.7%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) 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
2.0ms	B

Results

Accuracy	Segments	Branch
3.2%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
3.2%	1	`B`
3.2%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	55147.60792573204	12463856729235.01
0.0ms	-31259506930.67123	-80.9162702966411

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch70.0ms (0.8%)

Memory

-20.4MiB live, 57.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	0.0001967589235653135	54458175533.61153
24.0ms	-896171.2109972936	-1.0956514685681035e-8

Samples

55.0ms

320×

valid

Compiler

Compiled 357 to 255 computations (28.6% saved)

Precisions

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

ival-sin: 28.0ms (59% of total)

ival-div: 7.0ms (14.8% of total)

ival-tan: 7.0ms (14.8% of total)

ival-mult: 2.0ms (4.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	10677.910551699099	86325820.32710312

Samples

15.0ms

128×

valid

Compiler

Compiled 225 to 151 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 4.0ms (34.1% of total)

ival-tan: 4.0ms (34.1% of total)

ival-div: 2.0ms (17.1% of total)

ival-add: 1.0ms (8.5% of total)

ival-mult: 1.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0001967589235653135	54458175533.61153
11.0ms	-896171.2109972936	-1.0956514685681035e-8

Samples

8.0ms

80×

valid

Compiler

Compiled 357 to 215 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 2.0ms (33.9% of total)

ival-tan: 2.0ms (33.9% of total)

ival-div: 1.0ms (16.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	403
1	92	401
2	111	401
3	121	401
4	129	401
5	130	401

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 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 -20000000000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.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 100000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 #s(literal 1 binary64) x)) (tan.f64 B))))
(if (<=.f64 x #s(literal -3715469692580659/1125899906842624 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 x #s(literal 1 binary64)) #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 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 B #s(literal 11000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #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 -1 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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))

Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 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 -20000000000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.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 100000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 #s(literal 1 binary64) x)) (tan.f64 B))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)) #s(literal -20000000000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)) #s(literal 100000 binary64)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 #s(literal 1 binary64) x)) (tan.f64 B))))
(if (<=.f64 x #s(literal -3715469692580659/1125899906842624 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 x #s(literal 1 binary64)) #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 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 B #s(literal 11000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.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))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (fma.f64 #s(literal 1/6 binary64) B (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (-.f64 #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 -1 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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- (+ (* (+ (* 1/3 x) 1/6) (* B B)) 1) x) B) (.f64 #s(approx (+ ( 1/3 x) 1/6) #s(literal 1/6 binary64)) B)))

soundness1.5s (16.8%)

Memory

18.6MiB live, 1 041.8MiB allocated

Rules

25 592×	`lower-fma.f64`
25 592×	`lower-fma.f32`
18 268×	`lower-fma.f64`
18 268×	`lower-fma.f32`
17 380×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	303	4650
1	933	4511
2	2981	4391
0	8216	4117
0	361	4277
1	990	4234
2	3126	4147
0	8172	3961
0	477	5668
1	1482	5575
2	4540	5411
0	8234	5039
0	135	913
1	368	906
2	1224	888
3	4469	883
4	7804	881
0	8253	848
0	10	33
0	17	26
1	59	25
2	376	25
3	4328	25
0	8975	25
0	49	331
0	80	275
1	351	246
2	2957	232
0	8756	232
0	44	195
0	71	156
1	272	138
2	1973	132
0	9073	132

Stop Event

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

Compiler

Compiled 467 to 227 computations (51.4% saved)

preprocess60.0ms (0.7%)

Memory: -13.7MiB live, 134.8MiB allocated
Remove: (negabs B)
Compiler: Compiled 376 to 120 computations (68.1% 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%)

analyze165.0ms (1.8%)

sample1.1s (11.5%)

explain363.0ms (4%)

preprocess42.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize36.0ms (0.4%)

series15.0ms (0.2%)

simplify225.0ms (2.5%)

rewrite117.0ms (1.3%)

eval69.0ms (0.8%)

prune121.0ms (1.3%)

simplify186.0ms (2%)

localize211.0ms (2.3%)

series48.0ms (0.5%)

simplify361.0ms (4%)

rewrite178.0ms (2%)

eval281.0ms (3.1%)

prune277.0ms (3%)

simplify222.0ms (2.4%)

localize258.0ms (2.8%)

series99.0ms (1.1%)

simplify190.0ms (2.1%)

rewrite259.0ms (2.8%)

eval204.0ms (2.2%)

prune210.0ms (2.3%)

simplify173.0ms (1.9%)

localize414.0ms (4.5%)

series105.0ms (1.1%)

simplify208.0ms (2.3%)

rewrite303.0ms (3.3%)

eval173.0ms (1.9%)

prune410.0ms (4.5%)

regimes178.0ms (2%)

regimes71.0ms (0.8%)

regimes34.0ms (0.4%)

regimes48.0ms (0.5%)

regimes45.0ms (0.5%)

regimes22.0ms (0.2%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch70.0ms (0.8%)

bsearch21.0ms (0.2%)

bsearch13.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.5s (16.8%)

preprocess60.0ms (0.7%)

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