Metrics for Linear.Quaternion:$csinh from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.3s (16.2%)

Memory

30.2MiB live, 965.2MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 739.0ms

ival-sin: 295.0ms (39.9% of total)

ival-mult: 211.0ms (28.6% of total)

ival-cosh: 154.0ms (20.9% of total)

ival-div: 68.0ms (9.2% of total)

ival-true: 7.0ms (0.9% of total)

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

Bogosity

explain112.0ms (1.4%)

Memory

-36.1MiB live, 100.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`(/.f64 (sin.f64 y) y)`
-	-	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
-	-	`(cosh.f64 x)`
-	-	`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

59.0ms

512×

valid

Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 18.0ms (58.7% of total)

ival-cosh: 5.0ms (16.3% of total)

ival-div: 4.0ms (13% of total)

ival-mult: 3.0ms (9.8% of total)

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

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

preprocess119.0ms (1.4%)

Memory

6.7MiB live, 83.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 408×	`div-sub`
1 266×	`distribute-lft-in`
1 178×	`distribute-rgt-in`
796×	`sub-neg`
704×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	61	37
2	186	37
3	490	37
4	1600	37
5	3315	37
6	4803	37
7	5790	37
8	6164	37
9	6257	37
10	6281	37
11	7599	37
0	6	7
0	10	7
1	19	7
2	34	7
3	60	7
4	96	7
5	136	7
6	208	7
7	354	7
8	713	7
9	786	7
10	829	7
11	829	7
0	829	7

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify21.0ms (0.3%)

Memory

-1.2MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 (sin.f64 y) y)
cost-diff	0	(cosh.f64 x)
cost-diff	0	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Rules

420×	`lower-*.f32`
418×	`lower-*.f64`
276×	`times-frac`
234×	`associate-l`
220×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	19	17
2	34	17
3	60	17
4	96	17
5	136	17
6	208	17
7	354	17
8	713	17
9	786	17
10	829	17
11	829	17
0	829	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize37.0ms (0.4%)

Memory

1.5MiB live, 80.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
accuracy	0	(sin.f64 y)
accuracy	0	(cosh.f64 x)
accuracy	0.1328125	(/.f64 (sin.f64 y) y)

Samples

27.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-cosh: 9.0ms (48% of total)

ival-sin: 6.0ms (32% of total)

ival-div: 2.0ms (10.7% of total)

ival-mult: 1.0ms (5.3% of total)

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

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

series47.0ms (0.6%)

Memory

-12.4MiB live, 24.8MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
3.0ms	x	@	inf	((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
2.0ms	y	@	-inf	((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
2.0ms	y	@	inf	((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
1.0ms	y	@	0	((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))

simplify243.0ms (2.9%)

Memory

41.3MiB live, 343.8MiB allocated

Algorithm

1×	egg-herbie

Rules

21 860×	`lower-fma.f64`
21 860×	`lower-fma.f32`
6 160×	`lower-+.f64`
6 160×	`lower-+.f32`
4 408×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	638
1	268	614
2	941	588
3	3141	569
0	8072	539

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))

Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(fma.f64 (.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite177.0ms (2.1%)

Memory

-31.0MiB live, 238.7MiB allocated

Rules

5 572×	`lower-*.f32`
5 570×	`lower-*.f64`
4 692×	`lower-/.f32`
4 690×	`lower-/.f64`
1 418×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	27	15
2	130	15
3	1025	15
0	8438	15

Stop Event

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

Counts

4 → 453

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
(/.f64 (sin.f64 y) y)
(sin.f64 y)

Outputs
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#<batchref>

eval53.0ms (0.6%)

Memory: 14.8MiB live, 127.3MiB allocated
Compiler: Compiled 8 310 to 1 245 computations (85% saved)

prune21.0ms (0.3%)

Memory

-24.8MiB live, 54.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	498	14	512
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	499	14	513

Accuracy

100.0%

Counts

513 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
	99.8%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	99.8%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
	99.5%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
▶	64.9%	(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
	99.8%	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
▶	75.8%	(.f64 (cosh.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))))
	58.2%	(.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
	72.1%	(.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (neg.f64 y) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))))
	82.2%	(.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (neg.f64 y) (sin.f64 y))))
	59.8%	(.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
▶	59.9%	(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	83.4%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
	56.0%	#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))

Compiler

Compiled 318 to 248 computations (22% saved)

simplify148.0ms (1.8%)

Memory

33.2MiB live, 190.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	256	(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))
cost-diff	320	(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y))
cost-diff	1024	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
cost-diff	7552	(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(neg.f64 (sin.f64 y))
cost-diff	0	(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
cost-diff	1024	(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
cost-diff	0	#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) (cosh.f64 x))
cost-diff	0	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)

Rules

3 064×	`lower-*.f32`
3 046×	`lower-*.f64`
2 706×	`lower-fma.f32`
2 704×	`lower-fma.f64`
2 234×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	205
0	55	154
1	115	152
2	357	150
3	1894	150
4	4009	150
5	5921	150
6	7018	150
7	7221	150
8	7436	150
9	7608	150
10	7861	150
0	8870	150

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (sin.f64 y) (cosh.f64 x))
(sin.f64 y)
y
(cosh.f64 x)
x
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y)))
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(cosh.f64 x)
x
(neg.f64 (*.f64 y y))
(*.f64 y y)
(.f64 (cosh.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))))
(cosh.f64 x)
x
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y))
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
#s(literal 0 binary64)
(/.f64 (neg.f64 y) (sin.f64 y))
(neg.f64 y)
y
(sin.f64 y)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))

Outputs
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (sin.f64 y) (cosh.f64 x))
(*.f64 (cosh.f64 x) (sin.f64 y))
(sin.f64 y)
y
(cosh.f64 x)
x
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x))
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(cosh.f64 x)
x
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)
(.f64 (cosh.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cosh.f64 x)
x
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y))
y
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 y) (sin.f64 y))
(neg.f64 y)
y
(sin.f64 y)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) y)

localize107.0ms (1.3%)

Memory

-12.2MiB live, 118.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cosh.f64 x)
accuracy	0.0625	(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))
accuracy	0.1328125	(/.f64 (neg.f64 y) (sin.f64 y))
accuracy	14.920052522737198	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
accuracy	0	(cosh.f64 x)
accuracy	0.00390625	(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
accuracy	7.753583059183451	(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
accuracy	13.836022250548435	(/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y)))
accuracy	0	(*.f64 x x)
accuracy	0	(sin.f64 y)
accuracy	0.1328125	(/.f64 (sin.f64 y) y)
accuracy	10.402625640094165	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	0	(cosh.f64 x)
accuracy	32.89687133908684	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0	(sin.f64 y)
accuracy	0	(cosh.f64 x)
accuracy	0.00390625	(*.f64 (sin.f64 y) (cosh.f64 x))
accuracy	0.0703125	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)

Samples

86.0ms

256×

valid

Compiler

Compiled 190 to 29 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 14.0ms (30.5% of total)

ival-add: 10.0ms (21.8% of total)

ival-div: 8.0ms (17.4% of total)

ival-sin: 7.0ms (15.3% of total)

ival-cosh: 3.0ms (6.5% of total)

ival-neg: 3.0ms (6.5% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory

-25.8MiB live, 50.0MiB allocated

Counts

20 → 324

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) y) (patch (.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) y) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (patch (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (patch (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))) (patch (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) (patch (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) (sin.f64 y)) (patch (/.f64 (neg.f64 y) (sin.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) (patch (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) (patch (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) (patch (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) (patch (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	y	@	inf	((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (* 0 (/ (neg y) (sin y))) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (/ (neg y) (sin y)))
3.0ms	y	@	-inf	((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (* 0 (/ (neg y) (sin y))) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (/ (neg y) (sin y)))
3.0ms	x	@	inf	((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (* 0 (/ (neg y) (sin y))) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (/ (neg y) (sin y)))
2.0ms	x	@	-inf	((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (* 0 (/ (neg y) (sin y))) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (/ (neg y) (sin y)))
2.0ms	y	@	0	((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (* 0 (/ (neg y) (sin y))) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))) (/ (sin y) y) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) (/ (neg y) (sin y)))

simplify191.0ms (2.3%)

Memory

3.3MiB live, 197.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 862×	`lower-fma.f64`
13 862×	`lower-fma.f32`
4 796×	`lower-+.f64`
4 796×	`lower-+.f32`
4 762×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	3641
1	710	3456
2	2583	3323
3	6264	3252
0	8215	3107

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 310

Calls

Call 1

Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* -1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (exp x) (/ 1 (exp x))))))))
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* 1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
0
0
0
0
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
y
y
y
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) y)
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) y)
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) y)
-1
(- (* -1/6 (pow y 2)) 1)
(- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1)
(- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
0
0
0
0
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
y
y
y
(/ (pow y 2) (sin y))
(/ (pow y 2) (sin y))
(/ (pow y 2) (sin y))
(/ (pow y 2) (sin y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* -1 (/ y (sin y)))
(* -1 (/ y (sin y)))
(* -1 (/ y (sin y)))
(* -1 (/ y (sin y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
0
0
0
0
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
y
y
y
(/ (pow y 2) (sin y))
(/ (pow y 2) (sin y))
(/ (pow y 2) (sin y))
(/ (pow y 2) (sin y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* -1 (/ y (sin y)))
(* -1 (/ y (sin y)))
(* -1 (/ y (sin y)))
(* -1 (/ y (sin y)))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(sin y)
(+ (sin y) (* 1/2 (* (pow x 2) (sin y))))
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(* -1 (sin y))
(+ (* -1 (sin y)) (* -1/2 (* (pow x 2) (sin y))))
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* -1/24 (* (pow x 2) (sin y))))))
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* (pow x 2) (+ (* -1/24 (sin y)) (* -1/720 (* (pow x 2) (sin y))))))))
(/ (sin y) (pow y 2))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 2))) (/ (sin y) (pow y 2)))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/2 (/ (sin y) (pow y 2))))) (/ (sin y) (pow y 2)))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 2))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/24 (/ (sin y) (pow y 2))))))) (/ (sin y) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))

Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(.f64 (.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) y)
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(* -1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))
(.f64 (.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 #s(literal 1/12 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (exp x) (/ 1 (exp x))))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/240 binary64) (.f64 y y) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) y)
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* 1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/10080 binary64) (.f64 y y) #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/6 (pow y 2)) 1))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
y
y
y
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) y)
(.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) y)
(/.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) y)
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) y)
(/.f64 (fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) y)
-1
#s(literal -1 binary64)
(- (* -1/6 (pow y 2)) 1)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1)
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal -1 binary64))
(- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (.f64 y y) #s(literal -7/360 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/2 (/ (sin y) (pow y 2))))) (/ (sin y) (pow y 2)))
(.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 2))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/24 (/ (sin y) (pow y 2))))))) (/ (sin y) (pow y 2)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))

rewrite200.0ms (2.4%)

Memory

37.8MiB live, 313.4MiB allocated

Rules

4 448×	`lower-fma.f32`
4 446×	`lower-fma.f64`
4 436×	`lower-*.f32`
4 420×	`lower-*.f64`
3 636×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	149
0	53	134
1	168	117
2	1023	109
0	8317	109

Stop Event

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

Counts

20 → 1 767

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (sin.f64 y) (cosh.f64 x))
(sin.f64 y)
(cosh.f64 x)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
(neg.f64 (sin.f64 y))
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (.f64 y y)))
(/.f64 (neg.f64 y) (sin.f64 y))

Outputs
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eval526.0ms (6.3%)

Memory: -171.3MiB live, 806.6MiB allocated
Compiler: Compiled 49 340 to 5 417 computations (89% saved)

prune68.0ms (0.8%)

Memory

11.0MiB live, 213.8MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	2 498	19	2 517
Fresh	8	1	9
Picked	3	2	5
Done	0	0	0
Total	2 509	22	2 531

Accuracy

100.0%

Counts

2 531 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.2%	(/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) y))
	83.4%	(/.f64 (.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
	56.0%	(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
▶	83.4%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
▶	99.5%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
	39.6%	(.f64 (/.f64 #s(approx ( (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
	85.9%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
▶	59.8%	(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓	59.9%	(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	57.9%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	55.3%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	49.4%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) y))) (.f64 y y)))
	49.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (sin.f64 y) y) (.f64 y y)))
✓	83.4%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
	68.0%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
	65.2%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
	56.7%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (sin.f64 y))) (neg.f64 y)))
	52.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	53.2%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	52.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
	50.1%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	28.3%	(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 607 to 470 computations (22.6% saved)

simplify111.0ms (1.3%)

Memory

-7.0MiB live, 146.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	384	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (sin.f64 y) (cosh.f64 x))
cost-diff	0	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))
cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
cost-diff	12864	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))

Rules

2 954×	`lower-fma.f32`
2 944×	`lower-fma.f64`
2 736×	`lower-*.f32`
2 720×	`lower-*.f64`
1 202×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	257
0	67	245
1	129	231
2	274	227
3	923	221
4	2957	221
5	4748	221
6	6480	221
7	7518	221
0	8033	221

Stop Event

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

Calls

Call 1

Inputs
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(sin.f64 y)
(cosh.f64 x)
x
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(cosh.f64 x)
x
#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)

Outputs
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))
(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(*.f64 (cosh.f64 x) (sin.f64 y))
(sin.f64 y)
(cosh.f64 x)
x
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (cosh.f64 x))
(cosh.f64 x)
x
#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)

localize146.0ms (1.8%)

Memory

-6.7MiB live, 267.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0.07421875	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
accuracy	0.1328125	(/.f64 y (sin.f64 y))
accuracy	10.402625640094165	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0	(cosh.f64 x)
accuracy	0.08984375	(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy	33.431449463052985	#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	10.402625640094165	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	33.32043685449118	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	27.933657992757315	#s(approx (cosh x) #s(literal 1 binary64))
accuracy	32.89687133908684	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0	(cosh.f64 x)
accuracy	0.00390625	(*.f64 (sin.f64 y) (cosh.f64 x))
accuracy	0.18359375	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
accuracy	0.19921875	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))

Samples

105.0ms

256×

valid

Compiler

Compiled 191 to 39 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 30.0ms (35.5% of total)

ival-mult: 20.0ms (23.7% of total)

ival-div: 8.0ms (9.5% of total)

ival-sin: 7.0ms (8.3% of total)

const: 7.0ms (8.3% of total)

ival-pow: 7.0ms (8.3% of total)

ival-cosh: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series61.0ms (0.7%)

Memory

-5.1MiB live, 74.6MiB allocated

Counts

24 → 372

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) (patch (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) (cosh.f64 x)) (patch (.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (/ (cosh x) (/ y (sin y))) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* y y) (/ y (sin y)) (sin y))
5.0ms	y	@	-inf	((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (/ (cosh x) (/ y (sin y))) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* y y) (/ y (sin y)) (sin y))
5.0ms	y	@	0	((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (/ (cosh x) (/ y (sin y))) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* y y) (/ y (sin y)) (sin y))
2.0ms	x	@	inf	((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (/ (cosh x) (/ y (sin y))) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* y y) (/ y (sin y)) (sin y))
2.0ms	x	@	-inf	((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (/ (cosh x) (/ y (sin y))) (cosh x) (+ (* 1/2 (* x x)) 1) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* y y) (/ y (sin y)) (sin y))

simplify197.0ms (2.4%)

Memory

-12.6MiB live, 220.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 922×	`lower-fma.f64`
12 922×	`lower-fma.f32`
4 956×	`lower-*.f64`
4 956×	`lower-*.f32`
4 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	4214
1	603	4008
2	2249	3860
3	5536	3770
4	7136	3766
0	8210	3577

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 371

Calls

Call 1

Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))
(+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))
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y
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(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 y)) (sin y))) (* (pow x 2) (+ (* 1/720 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/24 (* (sqrt (/ 1 y)) (sin y))))))))
(sin y)
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(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))
(/ (sin y) y)
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1
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1
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1
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1
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1
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
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(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))

rewrite87.0ms (1%)

Memory

27.5MiB live, 108.2MiB allocated

Rules

756×	`lower-*.f32`
740×	`lower-*.f64`
680×	`lower-fma.f32`
670×	`lower-fma.f64`
574×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	229
0	67	217
1	237	201
0	1362	201

Stop Event

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

Counts

24 → 221

Calls

Call 1

Inputs
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
(pow.f64 y #s(literal -1/2 binary64))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sin.f64 y) (cosh.f64 x)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(cosh.f64 x)
#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 y (sin.f64 y))
(sin.f64 y)

Outputs
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eval119.0ms (1.4%)

Memory: -3.5MiB live, 274.2MiB allocated
Compiler: Compiled 12 906 to 1 224 computations (90.5% saved)

prune40.0ms (0.5%)

Memory

-2.2MiB live, 117.9MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	711	14	725
Fresh	3	12	15
Picked	4	1	5
Done	0	2	2
Total	718	29	747

Accuracy

100.0%

Counts

747 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.4%	(/.f64 (.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
▶	56.0%	(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
▶	83.3%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
	44.9%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	47.0%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
	56.0%	(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
	55.6%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (sin y) (cosh x)) (sin.f64 y))))
	55.7%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx ( (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
	39.6%	(.f64 (/.f64 #s(approx ( (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
▶	85.9%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
	13.4%	(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	59.9%	(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	57.9%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	56.2%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
	55.3%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	49.4%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) y))) (.f64 y y)))
	49.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (sin.f64 y) y) (.f64 y y)))
✓	83.4%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
	68.0%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
	65.2%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
	56.7%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (sin.f64 y))) (neg.f64 y)))
	52.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
	52.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	50.1%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
▶	28.1%	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	36.2%	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	34.6%	(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
	37.9%	(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	28.3%	(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 812 to 628 computations (22.7% saved)

simplify187.0ms (2.3%)

Memory

20.2MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))
cost-diff	384	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
cost-diff	448	(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	#s(approx (* (sin y) (cosh x)) (sin.f64 y))
cost-diff	0	(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
cost-diff	0	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (cosh x) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff	0	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))

Rules

14 924×	`lower-fma.f32`
14 916×	`lower-fma.f64`
2 910×	`lower-*.f32`
2 896×	`lower-*.f64`
1 720×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	315
0	69	296
1	135	283
2	302	277
3	1148	273
4	3321	273
5	4498	273
6	5049	273
7	5375	273
8	5653	273
9	5872	273
10	7827	273
0	8121	273

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
(sin.f64 y)
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
#s(approx (* (sin y) (cosh x)) (sin.f64 y))
(sin.f64 y)
y
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(neg.f64 y)

Outputs
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
(sin.f64 y)
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
#s(approx (* (sin y) (cosh x)) (sin.f64 y))
(sin.f64 y)
y
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
(.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(neg.f64 y)

localize256.0ms (3.1%)

Memory

-31.4MiB live, 264.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
accuracy	0.14453125	(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))
accuracy	0.23828125	(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))
accuracy	10.402625640094165	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0.0703125	(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
accuracy	28.03664310848764	#s(approx (* (sin y) (cosh x)) (sin.f64 y))
accuracy	0.078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	10.402625640094165	#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	33.32043685449118	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	34.034991480845285	#s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.08984375	(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy	27.933657992757315	#s(approx (cosh x) #s(literal 1 binary64))
accuracy	33.431449463052985	#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(sin.f64 y)
accuracy	0.14453125	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
accuracy	10.402625640094165	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))

Samples

205.0ms

256×

valid

Compiler

Compiled 206 to 40 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-neg: 62.0ms (36.7% of total)

ival-mult: 52.0ms (30.8% of total)

ival-cosh: 18.0ms (10.7% of total)

ival-sin: 12.0ms (7.1% of total)

ival-div: 11.0ms (6.5% of total)

const: 6.0ms (3.6% of total)

ival-add: 5.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.9%)

Memory

7.0MiB live, 45.3MiB allocated

Counts

22 → 348

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) (patch (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) (cosh x)) (sin.f64 y)) (patch #s(approx (* (sin y) (cosh x)) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) (patch (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) (patch (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) (patch (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) (patch (/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (sin y) (cosh x)) (sin.f64 y)) (patch #s(approx (* (sin y) (cosh x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (sin y) (cosh x)) (sin.f64 y)) (patch #s(approx (* (sin y) (cosh x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (sin y) (cosh x)) (sin.f64 y)) (patch #s(approx (* (sin y) (cosh x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt #s(approx (* (sin y) (cosh x)) (sin.f64 y)) (patch #s(approx (* (sin y) (cosh x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (* (/ 1 (neg (sin y))) (neg y)) (/ (cosh x) (* (/ 1 (neg (sin y))) (neg y))) (/ 1 (neg (sin y))) (* x x) (* y y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	y	@	-inf	((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (* (/ 1 (neg (sin y))) (neg y)) (/ (cosh x) (* (/ 1 (neg (sin y))) (neg y))) (/ 1 (neg (sin y))) (* x x) (* y y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	y	@	inf	((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (* (/ 1 (neg (sin y))) (neg y)) (/ (cosh x) (* (/ 1 (neg (sin y))) (neg y))) (/ 1 (neg (sin y))) (* x x) (* y y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	x	@	inf	((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (* (/ 1 (neg (sin y))) (neg y)) (/ (cosh x) (* (/ 1 (neg (sin y))) (neg y))) (/ 1 (neg (sin y))) (* x x) (* y y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	y	@	0	((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y))))) (cosh x) (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (* (/ 1 (neg (sin y))) (neg y)) (/ (cosh x) (* (/ 1 (neg (sin y))) (neg y))) (/ 1 (neg (sin y))) (* x x) (* y y) (/ (sin y) y) (+ (* 1/120 (* y y)) -1/6))

simplify308.0ms (3.7%)

Memory

-22.4MiB live, 179.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 488×	`lower-fma.f64`
10 488×	`lower-fma.f32`
4 496×	`lower-*.f64`
4 496×	`lower-*.f32`
2 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	3714
1	506	3563
2	1675	3447
3	4119	3382
4	4936	3368
5	6088	3368
6	7158	3368
0	8041	3206

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 347

Calls

Call 1

Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(/ -1 y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1
(+ 1 (* -1/6 (pow y 2)))
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(sin y)
(sin y)
(sin y)
(sin y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(pow y 2)
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(pow y 2)
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(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(sin y)
(sin y)
(sin y)
(sin y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(sin y)
(+ (sin y) (* 1/2 (* (pow x 2) (sin y))))
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(pow x 2)
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(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
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(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(.f64 (.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite237.0ms (2.9%)

Memory

40.7MiB live, 238.1MiB allocated

Rules

7 670×	`lower-fma.f32`
7 662×	`lower-fma.f64`
3 904×	`lower-*.f32`
3 890×	`lower-*.f64`
3 024×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	253
0	69	234
1	249	219
2	1446	211
0	8481	211

Stop Event

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

Counts

22 → 875

Calls

Call 1

Inputs
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
#s(approx (* (sin y) (cosh x)) (sin.f64 y))
(sin.f64 y)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 x x)
(*.f64 y y)
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))

Outputs
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eval485.0ms (5.8%)

Memory: 11.5MiB live, 395.7MiB allocated
Compiler: Compiled 32 153 to 3 402 computations (89.4% saved)

prune191.0ms (2.3%)

Memory

-7.1MiB live, 156.2MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 574	13	1 587
Fresh	5	16	21
Picked	3	2	5
Done	0	3	3
Total	1 582	34	1 616

Accuracy

100.0%

Counts

1 616 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.4%	(/.f64 (.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
✓	56.0%	(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
	83.3%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)))
	47.0%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(approx (/ 1 (neg (sin y))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
	44.9%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	47.0%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
	56.0%	(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
	55.9%	(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
	55.7%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx ( (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
	39.6%	(.f64 (/.f64 #s(approx ( (sin y) (cosh x)) (sin.f64 y)) (*.f64 (neg.f64 y) y)) (neg.f64 y))
	55.9%	(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
	57.8%	(.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 y) y)) (neg.f64 y)) (sin.f64 y))
	13.4%	(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	59.9%	(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	57.9%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	56.2%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
	55.3%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	49.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (sin.f64 y) y) (.f64 y y)))
✓	83.4%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
	68.0%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
	65.2%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
	56.7%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (sin.f64 y))) (neg.f64 y)))
	52.8%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	50.1%	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
	27.7%	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	28.1%	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
	28.0%	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	25.5%	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	36.2%	(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	37.9%	(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	34.6%	(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
✓	34.6%	(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
	8.9%	(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	28.3%	(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 1 340 to 588 computations (56.1% saved)

regimes120.0ms (1.5%)

Memory

-20.4MiB live, 193.2MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(approx (/ 1 (neg (sin y))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 #s(approx ( (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 #s(approx ( (sin y) (cosh x)) (sin.f64 y)) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (sin.f64 y) y) (.f64 y y)))
(.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 y) y)) (neg.f64 y)) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
(/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) y))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) y))) (.f64 y y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 (sin.f64 y))) (neg.f64 y)))
(.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx ( (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (sin y) (cosh x)) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
(.f64 (cosh.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
(.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (neg.f64 y) (sin.f64 y))))
(.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (neg.f64 y) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))))

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Calls

5 calls:

40.0ms	(/.f64 (sin.f64 y) y)
27.0ms	x
19.0ms	y
17.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
15.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
99.9%	1	`(cosh.f64 x)`
99.9%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes80.0ms (1%)

Memory

-9.8MiB live, 149.9MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(approx (/ 1 (neg (sin y))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 #s(approx ( (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 #s(approx ( (sin y) (cosh x)) (sin.f64 y)) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (sin.f64 y) y) (.f64 y y)))
(.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 y) y)) (neg.f64 y)) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
(/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) y))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) y))) (.f64 y y)))

Outputs

(*.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))

(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))

(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

5 calls:

23.0ms	(/.f64 (sin.f64 y) y)
16.0ms	y
15.0ms	x
13.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
10.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
96.0%	3	`x`
89.7%	2	`y`
99.9%	3	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
88.2%	2	`(cosh.f64 x)`
89.7%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes12.0ms (0.1%)

Memory

-9.6MiB live, 29.2MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(approx (/ 1 (neg (sin y))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 (cosh.f64 x) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (cosh x) #s(approx (+ ( 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 #s(approx ( (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 #s(approx ( (sin y) (cosh x)) (sin.f64 y)) (*.f64 (neg.f64 y) y)) (neg.f64 y))

Outputs

(*.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))

#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))

(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

1 calls:

9.0ms

(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
99.7%	3	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(approx (/ 1 (neg (sin y))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 #s(approx (* (sin y) (cosh x)) (sin.f64 y)) y)

Outputs

(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))

(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

1 calls:

8.0ms

(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
99.3%	3	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes44.0ms (0.5%)

Memory

-19.0MiB live, 99.7MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(approx (/ 1 (neg (sin y))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs

(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

5 calls:

9.0ms	(cosh.f64 x)
9.0ms	(/.f64 (sin.f64 y) y)
8.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
59.9%	1	`(cosh.f64 x)`
62.3%	2	`y`
71.8%	2	`(/.f64 (sin.f64 y) y)`
59.9%	1	`x`
71.9%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.2%)

Memory

-4.3MiB live, 35.1MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(approx (/ 1 (neg (sin y))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

2 calls:

7.0ms	(/.f64 (sin.f64 y) y)
7.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
69.7%	2	`(/.f64 (sin.f64 y) y)`
69.8%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes13.0ms (0.2%)

Memory

32.1MiB live, 32.1MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

2 calls:

6.0ms	(/.f64 (sin.f64 y) y)
6.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
67.2%	2	`(/.f64 (sin.f64 y) y)`
67.2%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes13.0ms (0.2%)

Memory

-7.7MiB live, 31.7MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

2 calls:

6.0ms	(/.f64 (sin.f64 y) y)
6.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
66.8%	2	`(/.f64 (sin.f64 y) y)`
66.8%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes10.0ms (0.1%)

Memory

-14.8MiB live, 24.7MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

2 calls:

5.0ms	(/.f64 (sin.f64 y) y)
4.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
64.2%	3	`(/.f64 (sin.f64 y) y)`
61.6%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes4.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

1 calls:

4.0ms

(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
64.1%	3	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 4 to 4 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-13.1MiB live, 28.3MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

3 calls:

6.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
61.6%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
54.6%	2	`y`
61.5%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes12.0ms (0.1%)

Memory

-8.0MiB live, 31.5MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

4 calls:

3.0ms	(/.f64 (sin.f64 y) y)
3.0ms	x
3.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
57.5%	2	`(/.f64 (sin.f64 y) y)`
50.1%	1	`(cosh.f64 x)`
53.6%	2	`x`
57.5%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- ( 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

2 calls:

2.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
43.9%	3	`(/.f64 (sin.f64 y) y)`
56.7%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))

(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
57.5%	3	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))

Outputs

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))

(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

5 calls:

2.0ms	y
2.0ms	(/.f64 (sin.f64 y) y)
2.0ms	x
1.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
35.7%	2	`(/.f64 (sin.f64 y) y)`
34.8%	2	`(cosh.f64 x)`
34.8%	2	`x`
34.9%	2	`y`
35.7%	2	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes23.0ms (0.3%)

Memory

-21.4MiB live, 18.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

5 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	x
1.0ms	(/.f64 (sin.f64 y) y)
1.0ms	y
1.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
28.3%	1	`(cosh.f64 x)`
28.3%	1	`x`
28.3%	1	`y`
28.3%	1	`(/.f64 (sin.f64 y) y)`
28.3%	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9546743324871534	1.0
0.0ms	-inf	-0.04246716947000665

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9546743324871534	1.0
0.0ms	-inf	-0.04246716947000665

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9546743324871534	1.0
0.0ms	-inf	-0.04246716947000665

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3344163715435003e-78	1.7585833386655813e-71
0.0ms	-1.0806181630491309e-306	7.406963707984205e-306

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3344163715435003e-78	1.7585833386655813e-71
0.0ms	-1.0806181630491309e-306	7.406963707984205e-306

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5078915565002415	+inf

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5078915565002415	+inf
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.317054539192354e-153	-6.489950228893536e-166

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify121.0ms (1.5%)

Memory

-11.2MiB live, 71.4MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1026
1	125	1026

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4299470968049321/4503599627370496 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4299470968049321/4503599627370496 binary64)) #s(approx ( (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4299470968049321/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4299470968049321/4503599627370496 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (.f64 #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (cosh.f64 x)) (if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4299470968049321/4503599627370496 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 (cosh.f64 x) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4299470968049321/4503599627370496 binary64)) #s(approx ( (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (.f64 #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (cosh.f64 x)) (if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4299470968049321/4503599627370496 binary64)) #s(approx ( (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4299470968049321/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (.f64 #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4299470968049321/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x)))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)))) (.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ ( 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) #s(literal 1 binary64)))) (.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (- (* 0 (/ (neg y) (sin y))) (neg y)) (* (neg y) (/ (neg y) (sin y)))) #s(approx (+ (* -1/6 (* y y)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

soundness1.6s (19.2%)

Memory

10.9MiB live, 1 169.6MiB allocated

Rules

21 860×	`lower-fma.f64`
21 860×	`lower-fma.f32`
13 862×	`lower-fma.f64`
13 862×	`lower-fma.f32`
12 922×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	27	15
2	130	15
3	1025	15
0	8438	15
0	164	3714
1	506	3563
2	1675	3447
3	4119	3382
4	4936	3368
5	6088	3368
6	7158	3368
0	8041	3206
0	83	638
1	268	614
2	941	588
3	3141	569
0	8072	539
0	222	3641
1	710	3456
2	2583	3323
3	6264	3252
0	8215	3107
0	187	4214
1	603	4008
2	2249	3860
3	5536	3770
4	7136	3766
0	8210	3577

Stop Event

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

Compiler

Compiled 1 374 to 747 computations (45.6% saved)

preprocess217.0ms (2.6%)

Memory

-9.6MiB live, 267.7MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 276 to 246 computations (80.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
0	10	17
1	19	17
2	34	17
3	60	17
4	96	17
5	136	17
6	208	17
7	354	17
8	713	17
9	786	17
10	829	17
11	829	17
0	829	17

Iter	Nodes	Cost
0	6	17
0	10	17
1	19	17
2	34	17
3	60	17
4	96	17
5	136	17
6	208	17
7	354	17
8	713	17
9	786	17
10	829	17
11	829	17
0	829	17

start0.0ms (0%)

analyze15.0ms (0.2%)

sample1.3s (16.2%)

explain112.0ms (1.4%)

preprocess119.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.3%)

localize37.0ms (0.4%)

series47.0ms (0.6%)

simplify243.0ms (2.9%)

rewrite177.0ms (2.1%)

eval53.0ms (0.6%)

prune21.0ms (0.3%)

simplify148.0ms (1.8%)

localize107.0ms (1.3%)

series44.0ms (0.5%)

simplify191.0ms (2.3%)

rewrite200.0ms (2.4%)

eval526.0ms (6.3%)

prune68.0ms (0.8%)

simplify111.0ms (1.3%)

localize146.0ms (1.8%)

series61.0ms (0.7%)

simplify197.0ms (2.4%)

rewrite87.0ms (1%)

eval119.0ms (1.4%)

prune40.0ms (0.5%)

simplify187.0ms (2.3%)

localize256.0ms (3.1%)

series74.0ms (0.9%)

simplify308.0ms (3.7%)

rewrite237.0ms (2.9%)

eval485.0ms (5.8%)

prune191.0ms (2.3%)

regimes120.0ms (1.5%)

regimes80.0ms (1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes44.0ms (0.5%)

regimes16.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes13.0ms (0.2%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

regimes23.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify121.0ms (1.5%)

soundness1.6s (19.2%)

preprocess217.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
0	10	17
1	19	17
2	34	17
3	60	17
4	96	17
5	136	17
6	208	17
7	354	17
8	713	17
9	786	17
10	829	17
11	829	17
0	829	17