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

analyze60.0ms (0.4%)

Memory

-30.5MiB live, 19.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample888.0ms (6.6%)

Memory

26.7MiB live, 1 246.2MiB allocated

Samples

649.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-sin: 230.0ms (54.4% of total)

ival-mult: 69.0ms (16.3% of total)

ival-div: 61.0ms (14.4% of total)

ival-sinh: 53.0ms (12.5% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess352.0ms (2.6%)

Memory

-13.5MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 532×	`lower-fma.f64`
2 532×	`lower-fma.f32`
1 668×	`lower-*.f32`
1 666×	`lower-*.f64`
944×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	60	41
2	192	37
3	708	37
4	2231	37
5	5292	37
6	7334	37
0	6	7
0	10	7
1	19	7
2	39	7
3	78	7
4	163	7
5	343	7
6	867	7
7	1769	7
8	3025	7
9	4048	7
10	4540	7
11	4617	7
12	4617	7
13	4617	7
14	5037	7
15	5221	7
16	5221	7
17	5221	7
18	5221	7
19	5259	7
20	5345	7
21	5345	7
22	5345	7
0	5345	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

(negabs y)

explain80.0ms (0.6%)

Memory

16.4MiB live, 169.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
35	-	3	(9.103947615197413e-210 9.861557945758652e-102)	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
0	-	0	-	`(sinh.f64 y)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 (sin.f64 x) (sinh.f64 y))`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`	u/n	32	0
↳	`(*.f64 (sin.f64 x) (sinh.f64 y))`	underflow	32

Confusion

	Predicted +	Predicted -
+	32	3
-	0	221

Precision

1.0

Recall

0.9142857142857143

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	32	0	3
-	0	0	221

Precision?

1.0

Recall?

0.9142857142857143

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 12.0ms (54.8% of total)

ival-div: 4.0ms (18.3% of total)

ival-mult: 3.0ms (13.7% of total)

ival-sinh: 3.0ms (13.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.6%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify300.0ms (2.2%)

Memory

11.6MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sinh.f64 y)
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	cost-diff	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Rules

2 532×	`lower-fma.f64`
2 532×	`lower-fma.f32`
1 668×	`lower-*.f32`
1 666×	`lower-*.f64`
944×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	19	18
2	39	18
3	78	18
4	163	18
5	343	18
6	867	18
7	1769	18
8	3025	18
9	4048	18
10	4540	18
11	4617	18
12	4617	18
13	4617	18
14	5037	18
15	5221	18
16	5221	18
17	5221	18
18	5221	18
19	5259	18
20	5345	18
21	5345	18
22	5345	18
0	5345	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.3%)

Memory

3.5MiB live, 65.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(sinh.f64 y)
✓	accuracy	99.9%	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	accuracy	87.6%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Samples

28.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (54.9% of total)

ival-div: 2.0ms (18.3% of total)

ival-mult: 2.0ms (18.3% of total)

ival-sinh: 1.0ms (9.2% of total)

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

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

series62.0ms (0.5%)

Memory

-13.1MiB live, 25.6MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)>
#<alt (*.f64 (sin.f64 x) (sinh.f64 y))>
#<alt (sin.f64 x)>
#<alt (sinh.f64 y)>

Outputs
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* y (sin x))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>

Calls

18 calls:

Time	Variable		Point	Expression
52.0ms	x	@	inf	(/ (* (sin x) (sinh y)) x)
3.0ms	y	@	-inf	(/ (* (sin x) (sinh y)) x)
2.0ms	y	@	inf	(/ (* (sin x) (sinh y)) x)
1.0ms	y	@	0	(/ (* (sin x) (sinh y)) x)
1.0ms	x	@	-inf	(/ (* (sin x) (sinh y)) x)

rewrite562.0ms (4.2%)

Memory

22.2MiB live, 451.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 860×	`lower-*.f32`
4 858×	`lower-*.f64`
4 172×	`lower-/.f32`
4 170×	`lower-/.f64`
1 474×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	27	16
2	117	16
3	840	16
0	8257	16

Stop Event

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

Counts

4 → 495

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x))
(+.f64 (.f64 (/.f64 (sin.f64 x) x) (.f64 (exp.f64 y) #s(literal 1/2 binary64))) (.f64 (/.f64 (sin.f64 x) x) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x)) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x)))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(-.f64 (/.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))) (/.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))))
(fma.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x) (.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x))
(fma.f64 (/.f64 (sin.f64 x) x) (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1 binary64))
(/.f64 (.f64 (sinh.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) #s(literal -2 binary64)) (.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (.f64 (/.f64 x (sin.f64 x)) (.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (.f64 (/.f64 x (sin.f64 x)) #s(literal 4 binary64)))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64))) (.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (.f64 (/.f64 x (sin.f64 x)) (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) (.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (.f64 (/.f64 x (sin.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(/.f64 (.f64 (.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64))
(/.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64))))) (.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (.f64 x (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sin.f64 x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
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(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) #s(literal -4 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (-.f64 (.f64 (exp.f64 y) (.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 y) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (exp.f64 (neg.f64 y)))) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (exp.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (neg.f64 (exp.f64 (neg.f64 y))))) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 y)) (.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (exp.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (/.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (fma.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) (.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))))
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(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (.f64 #s(literal 4 binary64) (cosh.f64 y)))
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(/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (.f64 #s(literal 2 binary64) (cosh.f64 y)))
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(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -4 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (cosh.f64 y))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(.f64 (.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64))
(.f64 (.f64 (sinh.f64 y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 (.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (cosh.f64 y))))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (.f64 (sinh.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (cosh.f64 y))))
(.f64 (cosh.f64 y) (/.f64 (.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64))
(.f64 (.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (sinh.f64 y) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(.f64 (.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(.f64 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 y y)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 (+.f64 y y) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (.f64 (sinh.f64 y) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y))))

simplify690.0ms (5.1%)

Memory

-26.2MiB live, 614.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 192×	`lower-fma.f64`
15 192×	`lower-fma.f32`
6 376×	`lower-+.f64`
6 376×	`lower-+.f32`
3 958×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	944
1	373	889
2	1229	849
3	3047	828
0	8158	792

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

eval115.0ms (0.9%)

Memory: 18.7MiB live, 130.2MiB allocated
Compiler: Compiled 9 370 to 1 540 computations (83.6% saved)

prune84.0ms (0.6%)

Memory

5.7MiB live, 179.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	555	10	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	556	10	566

Accuracy

100.0%

Counts

566 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)
	50.8%	(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
	83.5%	(/.f64 (.f64 (sin.f64 x) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)) x)
▶	71.8%	(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
▶	80.5%	(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
	71.8%	(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
	44.8%	(/.f64 (*.f64 y (sin.f64 x)) x)
▶	99.9%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	84.1%	(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
▶	57.1%	(*.f64 y (/.f64 (sin.f64 x) x))

Compiler

Compiled 300 to 180 computations (40% saved)

simplify324.0ms (2.4%)

Memory

-12.0MiB live, 417.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
✓	cost-diff	(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
✓	cost-diff	(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
✓	cost-diff	(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(/.f64 (sin.f64 x) x)
✓	cost-diff	(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(/.f64 (sin.f64 x) x)
✓	cost-diff	(*.f64 y (/.f64 (sin.f64 x) x))
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(sinh.f64 y)
✓	cost-diff	(/.f64 (sinh.f64 y) x)
✓	cost-diff	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Rules

7 384×	`lower-fma.f32`
7 378×	`lower-fma.f64`
4 510×	`lower-*.f32`
4 492×	`lower-*.f64`
1 426×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	188
0	44	188
1	104	188
2	262	183
3	734	181
4	1523	181
5	2141	181
6	3405	181
7	5353	181
8	7085	181
0	8231	174

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
(*.f64 y (/.f64 (sin.f64 x) x))
y
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(*.f64 y y)
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(sin.f64 x)
x
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(*.f64 y y)
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
y
(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(sin.f64 x)
x
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(*.f64 y y)
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(*.f64 y y)
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y))
(.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
y
(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(sin.f64 x)
x
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize122.0ms (0.9%)

Memory

3.6MiB live, 254.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.8%	(*.f64 y #s(literal 1/120 binary64))
✓	accuracy	98.5%	(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	83.2%	(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	98.8%	(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
✓	accuracy	87.6%	(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
✓	accuracy	99.9%	(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
✓	accuracy	99.8%	(/.f64 (sin.f64 x) x)
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.9%	(*.f64 y (/.f64 (sin.f64 x) x))
✓	accuracy	99.8%	(/.f64 (sin.f64 x) x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(/.f64 (sinh.f64 y) x)
✓	accuracy	100.0%	(sinh.f64 y)
✓	accuracy	99.9%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Samples

77.0ms

256×

valid

Compiler

Compiled 204 to 28 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 22.0ms (36.7% of total)

ival-sin: 15.0ms (25% of total)

const: 10.0ms (16.7% of total)

ival-div: 8.0ms (13.3% of total)

ival-add: 3.0ms (5% of total)

ival-sinh: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-2.2MiB live, 75.1MiB allocated

Counts

15 → 288

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))>
#<alt (/.f64 (sinh.f64 y) x)>
#<alt (sinh.f64 y)>
#<alt (sin.f64 x)>
#<alt (*.f64 y (/.f64 (sin.f64 x) x))>
#<alt (/.f64 (sin.f64 x) x)>
#<alt (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))>
#<alt (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)>
#<alt (/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)>
#<alt (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))>
#<alt (/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)>
#<alt (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))>
#<alt (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 y #s(literal 1/6 binary64))>
#<alt (*.f64 y #s(literal 1/120 binary64))>

Outputs
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (/ y x)>
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (+ y (* 1/6 (pow y 3)))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))>
#<alt (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3))))))))))>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))>
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (+ y (* 1/6 (pow y 3)))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))>
#<alt (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3))))))))))>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))>
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))>
#<alt (* x (+ y (* 1/6 (pow y 3))))>
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))>
#<alt (* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))))>
#<alt (* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))>
#<alt (* y (sin x))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* 1/6 (* (pow y 3) (sin x)))>
#<alt (* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))>
#<alt (* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))>
#<alt (* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))>
#<alt (* 1/6 (* (pow y 3) (sin x)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))>
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))>
#<alt (* 1/120 (/ (* (pow y 5) (sin x)) x))>
#<alt (* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))>
#<alt (* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))>
#<alt (* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))>
#<alt (* 1/120 (/ (* (pow y 5) (sin x)) x))>
#<alt (* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))>
#<alt (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)>
#<alt (* y (sin x))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))>
#<alt (* 1/120 (* (pow y 5) (sin x)))>
#<alt (* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))>
#<alt (* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))>
#<alt (* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))>
#<alt (* 1/120 (* (pow y 5) (sin x)))>
#<alt (* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))>
#<alt (* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))>
#<alt (* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (* 1/120 (* (pow y 4) (sin x)))>
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))>
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))>
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))>
#<alt (* 1/120 (* (pow y 4) (sin x)))>
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))>
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))>
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y))
3.0ms	x	@	inf	(/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x)
1.0ms	x	@	-inf	(/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x)
1.0ms	x	@	inf	(* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y))
1.0ms	x	@	-inf	(* y (/ (sin x) x))

rewrite442.0ms (3.3%)

Memory

13.4MiB live, 687.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 490×	`lower-fma.f32`
5 484×	`lower-fma.f64`
4 858×	`lower-*.f32`
4 840×	`lower-*.f64`
3 896×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	44	124
1	165	120
2	1146	120
0	8410	116

Stop Event

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

Counts

15 → 924

Calls

Call 1

Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
(sin.f64 x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))

Outputs
(neg.f64 (*.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sinh.f64 y) x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))) x)
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sinh.f64 y) (sin.f64 x)))
(.f64 (.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (sinh.f64 y) x)))
(.f64 (/.f64 (sin.f64 x) (/.f64 x (.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sinh.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sinh.f64 y) x)))
(-.f64 (/.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 (exp.f64 y) (.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sinh.f64 y) x)))
(neg.f64 (neg.f64 (/.f64 (sinh.f64 y) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sinh.f64 y) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sinh.f64 y))))
(/.f64 (sinh.f64 y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
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(/.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (sin.f64 x)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (-.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (sin.f64 x))) (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (sin.f64 x))) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (.f64 (.f64 y (.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 y (.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (sin.f64 x))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (sin.f64 x))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 x) (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)

simplify569.0ms (4.2%)

Memory

-3.4MiB live, 904.4MiB allocated

Algorithm

1×	egg-herbie

Rules

21 250×	`lower-fma.f64`
21 250×	`lower-fma.f32`
5 578×	`lower-*.f64`
5 578×	`lower-*.f32`
5 286×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	4034
1	1011	3683
2	3784	3396
0	8062	3135

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 284

Calls

Call 1

Inputs
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(+ y (* 1/6 (pow y 3)))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3))))))))))
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* y (sin x)) x)
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(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (/ (* (pow y 3) (sin x)) x))
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(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))
y
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(* y (+ 1 (* 1/6 (pow y 2))))
(* 1/6 (pow y 3))
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(* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))
(+ y (* 1/6 (pow y 3)))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))
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(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (/ (* (pow y 3) (sin x)) x))
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(* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))))
(* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* (sin x) (+ y (* 1/6 (pow y 3))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* 1/6 (* (pow y 3) (sin x)))
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* 1/6 (* (pow y 3) (sin x)))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
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(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
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(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* 1/120 (* (pow y 5) (sin x)))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/120 (* (pow y 5) (sin x)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
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(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
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(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
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(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)

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

eval220.0ms (1.6%)

Memory: -6.5MiB live, 321.3MiB allocated
Compiler: Compiled 37 468 to 2 187 computations (94.2% saved)

prune323.0ms (2.4%)

Memory

4.7MiB live, 320.7MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 363	17	1 380
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	1 367	23	1 390

Accuracy

100.0%

Counts

1 390 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
	37.4%	(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
	52.9%	(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
▶	39.5%	(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
	51.4%	(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)
▶	44.8%	(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
	44.6%	(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
	50.8%	(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
✓	71.8%	(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
	47.4%	(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
✓	80.5%	(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
	44.8%	(/.f64 (*.f64 y (sin.f64 x)) x)
	47.6%	(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
	44.6%	(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
	54.1%	(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
	57.1%	(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
	56.9%	(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
▶	59.9%	(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
▶	96.9%	(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
	68.0%	(*.f64 (/.f64 y x) (sin.f64 x))
✓	57.1%	(*.f64 y (/.f64 (sin.f64 x) x))
▶	31.7%	(*.f64 y #s(literal 1 binary64))
	52.9%	(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))

Compiler

Compiled 737 to 427 computations (42.1% saved)

simplify692.0ms (5.2%)

Memory

-6.9MiB live, 553.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
✓	cost-diff	1024	(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
✓	cost-diff	0	(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
✓	cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 y (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
✓	cost-diff	320	(*.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)
✓	cost-diff	0	(/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)
✓	cost-diff	0	(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))

Rules

13 928×	`lower-fma.f32`
13 908×	`lower-fma.f64`
5 366×	`lower-*.f32`
5 338×	`lower-*.f64`
2 832×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	307
0	71	286
1	162	286
2	527	286
3	1699	286
4	4533	285
5	5075	285
6	6181	285
7	7189	285
8	7281	285
9	7386	285
0	8283	279

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
(/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 y #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 y (.f64 y y))
x
(sin.f64 x)
(*.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
x
(.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 y (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
y
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(*.f64 y y)
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

Outputs
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
(.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (/.f64 (sin.f64 x) x))
(/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 y #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 y (.f64 y y))
x
(sin.f64 x)
(*.f64 y #s(literal 1 binary64))
y
y
#s(literal 1 binary64)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 x x) (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) y)
x
(.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 y x))
(.f64 y (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
y
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 y (.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(.f64 (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)
(*.f64 y y)
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

localize391.0ms (2.9%)

Memory

15.9MiB live, 225.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	95.9%	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
✓	accuracy	84.8%	(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
✓	accuracy	99.9%	(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/6 binary64))
✓	accuracy	99.7%	(.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
✓	accuracy	94.8%	(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
✓	accuracy	99.9%	(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
✓	accuracy	99.9%	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
✓	accuracy	94.6%	(.f64 y (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	98.8%	(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
✓	accuracy	97.1%	(/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)

Samples

210.0ms

256×

valid

Compiler

Compiled 344 to 46 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

const: 95.0ms (50.3% of total)

ival-mult: 72.0ms (38.1% of total)

ival-add: 11.0ms (5.8% of total)

ival-sin: 6.0ms (3.2% of total)

ival-div: 3.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series83.0ms (0.6%)

Memory

-4.6MiB live, 66.9MiB allocated

Counts

21 → 360

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))>
#<alt (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)>
#<alt (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)>
#<alt (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))>
#<alt (*.f64 y #s(literal 1 binary64))>
#<alt (fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)>
#<alt (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))>
#<alt (.f64 y (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))>
#<alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))>
#<alt (.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))>
#<alt (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))>
#<alt (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))>
#<alt (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)>
#<alt (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))>
#<alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)>
#<alt (.f64 y (.f64 y y))>
#<alt (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)>
#<alt (.f64 (.f64 x x) #s(literal -1/6 binary64))>
#<alt (*.f64 y #s(literal 1/6 binary64))>
#<alt (.f64 x (.f64 x x))>

Outputs
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))>
#<alt (* 1/5040 (/ (* (pow y 7) (sin x)) x))>
#<alt (* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2))))))>
#<alt (* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4)))))))>
#<alt (* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6)))))))>
#<alt (* 1/5040 (/ (* (pow y 7) (sin x)) x))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))>
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))))>
#<alt (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)>
#<alt (/ y x)>
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* 1/5040 (/ (pow y 7) x))>
#<alt (* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x)))))>
#<alt (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (* 1/5040 (/ 1 x)) (+ (* 1/6 (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 6)))))))>
#<alt (* 1/5040 (/ (pow y 7) x))>
#<alt (* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 1/5040 (/ 1 x)))))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 4))) (+ (/ 1/120 (* x (pow y 2))) (* 1/5040 (/ 1 x))))))>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4)))))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4)))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1)))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1)))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1)))>
#<alt (* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1)))>
#<alt (* -1/6 (* x y))>
#<alt (* x (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))>
#<alt (* x (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))>
#<alt (* x (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))>
#<alt (* 1/120 (* (pow x 3) y))>
#<alt (* (pow x 3) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 3) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 3) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* 1/120 (* (pow x 3) y))>
#<alt (* -1 (* (pow x 3) (+ (* -1/120 y) (* 1/6 (/ y (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/120 y) (* 1/6 (/ y (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/120 y) (* 1/6 (/ y (pow x 2))))))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* x (* y (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))>
#<alt (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))>
#<alt (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))>
#<alt (* 1/120 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* 1/120 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (+ 1 (* -1/6 (pow x 2)))))))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (+ 1 (* -1/6 (pow x 2)))))))))>
#<alt (* 1/120 (* (pow y 5) (+ 1 (* -1/6 (pow x 2)))))>
#<alt (* (pow y 5) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))>
#<alt (* -1/120 (* (pow y 5) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* (pow y 5) (+ (* 1/120 (- (* 1/6 (pow x 2)) 1)) (* 1/6 (/ (- (* 1/6 (pow x 2)) 1) (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (- (+ (* 1/120 (- (* 1/6 (pow x 2)) 1)) (+ (* 1/6 (/ (- (* 1/6 (pow x 2)) 1) (pow y 2))) (* 1/6 (/ (pow x 2) (pow y 4))))) (/ 1 (pow y 4)))))>
#<alt (* -1 (* (pow y 5) (- (+ (* 1/120 (- (* 1/6 (pow x 2)) 1)) (+ (* 1/6 (/ (- (* 1/6 (pow x 2)) 1) (pow y 2))) (* 1/6 (/ (pow x 2) (pow y 4))))) (/ 1 (pow y 4)))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))>
#<alt (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))>
#<alt (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/6 y)>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* 1/120 (pow y 3))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 3))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (+ y (* 1/6 (pow y 3)))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))>
#<alt (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))>
#<alt (* 1/120 (* (pow x 4) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))>
#<alt (* 1/120 (* (pow x 4) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))>
#<alt (/ (* y (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) x)>
#<alt (* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) x)) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) x)) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) x)) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) x))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))>
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) x))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) x)))))>
#<alt (* x (+ y (* 1/6 (pow y 3))))>
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))>
#<alt (* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))))>
#<alt (* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))))>
#<alt (* 1/120 (* (pow x 5) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 5) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))>
#<alt (* (pow x 5) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))>
#<alt (* (pow x 5) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))>
#<alt (* 1/120 (* (pow x 5) (+ y (* 1/6 (pow y 3)))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/120 (+ y (* 1/6 (pow y 3)))) (* 1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 4))) (+ (* -1/120 (+ y (* 1/6 (pow y 3)))) (* 1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 4))) (+ (* -1/120 (+ y (* 1/6 (pow y 3)))) (* 1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2)))))))>
#<alt (* y (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

90 calls:

Time	Variable		Point	Expression
38.0ms	y	@	0	(/ (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x (* x x))) x) (+ (* (* y y) (* y 1/6)) y)) x)
9.0ms	x	@	inf	(* (/ (+ (* (+ (* (* y y) (+ (* y (* y 1/5040)) 1/120)) 1/6) (* y (* y y))) y) x) (sin x))
7.0ms	x	@	-inf	(* (/ (+ (* (+ (* (* y y) (+ (* y (* y 1/5040)) 1/120)) 1/6) (* y (* y y))) y) x) (sin x))
1.0ms	y	@	0	(* (+ (* y (* y (+ (* (* y y) 1/120) 1/6))) 1) (+ (* y (* (* x x) -1/6)) y))
1.0ms	y	@	0	(+ (* x (* x (* y (+ (* 1/120 (* x x)) -1/6)))) y)

rewrite613.0ms (4.6%)

Memory

4.8MiB live, 838.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 728×	`lower-fma.f32`
7 708×	`lower-fma.f64`
4 938×	`lower-*.f32`
4 910×	`lower-*.f64`
3 564×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	242
0	71	222
1	290	222
2	2344	222
0	8662	220

Stop Event

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

Counts

21 → 715

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
(/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 y (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(.f64 y (.f64 y y))
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 y #s(literal 1/6 binary64))
(.f64 x (.f64 x x))

Outputs
(/.f64 (sin.f64 x) (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (sin.f64 x))))
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (sin.f64 x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (sin.f64 x))) (neg.f64 x))
(/.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)))
(/.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)) (sin.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)) (sin.f64 x))) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 x (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (sin.f64 x))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)))
(.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y))))
(.f64 (/.f64 (sin.f64 x) (/.f64 x (fma.f64 y (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y))))))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y))))))))
(.f64 (/.f64 (sin.f64 x) (/.f64 x (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y))))))))) (/.f64 (sin.f64 x) (fma.f64 y (-.f64 y (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))))) (/.f64 (sin.f64 x) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))))
(.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(exp.f64 (.f64 (log.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y))))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))) x) (/.f64 (/.f64 (.f64 y y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))) x))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y))))) (.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y)))) (/.f64 (.f64 y y) (.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y)))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
(/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) (neg.f64 x))
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(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))) (.f64 x (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) (neg.f64 y))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (/.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(.f64 y (.f64 y y))
(.f64 (.f64 y y) y)
(.f64 (.f64 y (*.f64 y y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(+.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (-.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fma.f64 y #s(literal 1 binary64) (.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)
(fma.f64 #s(literal 1 binary64) y (.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 x x)) y)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) y y)
(fma.f64 (.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64) y)
(fma.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 x x) y)
(fma.f64 (.f64 y x) (.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y (.f64 x x)) #s(literal -1/6 binary64) y)
(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) y y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))))) (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (*.f64 y y))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 y (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (*.f64 x x))))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 y y (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 y y)))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 y y)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))))) (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (fma.f64 y (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (fma.f64 y y (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 y y))) (neg.f64 (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))))
(/.f64 (-.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))))) (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)) (.f64 y y))) (.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (*.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))))) (neg.f64 (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) (fma.f64 (/.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)))))))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))))) (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (*.f64 y y))) #s(literal -1 binary64))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 y (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))))))
(.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y))))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) y)
(.f64 (/.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y) y) (/.f64 (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) (neg.f64 y)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify655.0ms (4.9%)

Memory

10.6MiB live, 652.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 824×	`lower-fma.f64`
11 824×	`lower-fma.f32`
7 516×	`lower-*.f64`
7 516×	`lower-*.f32`
3 026×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	5664
1	1500	5393
2	5342	5055
0	8487	4609

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 344

Calls

Call 1

Inputs
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/5040 (/ (* (pow y 7) (sin x)) x))
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2))))))
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4)))))))
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6)))))))
(* 1/5040 (/ (* (pow y 7) (sin x)) x))
(* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))
(* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))
(* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))))
(+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
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(* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))))) (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))
(* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* -1/6 (* (pow x 2) y)))
(* -1/6 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* -1/6 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(.f64 y (.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(.f64 y (fma.f64 (.f64 y y) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(.f64 y (fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
(* 1/5040 (/ (* (pow y 7) (sin x)) x))
(.f64 (/.f64 (sin.f64 x) x) (.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64))))
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4)))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 (.f64 (sin.f64 x) #s(literal 1/120 binary64)) (.f64 y (*.f64 y x)))))
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6)))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (.f64 x (.f64 (.f64 y y) (.f64 y y)))) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y #s(literal 6 binary64)))))))
(* 1/5040 (/ (* (pow y 7) (sin x)) x))
(.f64 (/.f64 (sin.f64 x) x) (.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))
(.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))) (/.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (.f64 x (.f64 (.f64 y y) (*.f64 y y))))) (neg.f64 (pow.f64 y #s(literal 7 binary64))))
(* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))))
(.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))) (.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (pow.f64 y #s(literal 7 binary64))))
(+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) x)
(/ y x)
(/.f64 y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(.f64 y (.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (.f64 (/.f64 (.f64 y y) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 (/.f64 (.f64 y y) x) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 y x))
(* 1/5040 (/ (pow y 7) x))
(*.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 y #s(literal 7 binary64)) x))
(* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) x) (/.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y x)))))
(* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x)))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y x)))))
(* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (* 1/5040 (/ 1 x)) (+ (* 1/6 (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 6)))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64)))))))
(* 1/5040 (/ (pow y 7) x))
(*.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 y #s(literal 7 binary64)) x))
(* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) x) (/.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y x)))))
(* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 1/5040 (/ 1 x)))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) x) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y x)))) (.f64 y y)) (/.f64 #s(literal 1/5040 binary64) x)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 4))) (+ (/ 1/120 (* x (pow y 2))) (* 1/5040 (/ 1 x))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x)))) (.f64 (.f64 y y) (.f64 y y))) (+.f64 (/.f64 #s(literal 1/5040 binary64) x) (/.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y x))))))
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) x)
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)
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(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval380.0ms (2.8%)

Memory: 9.2MiB live, 326.6MiB allocated
Compiler: Compiled 52 855 to 3 031 computations (94.3% saved)

prune227.0ms (1.7%)

Memory

3.5MiB live, 398.5MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 084	15	1 099
Fresh	4	11	15
Picked	4	1	5
Done	0	3	3
Total	1 092	30	1 122

Accuracy

100.0%

Counts

1 122 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
	39.9%	(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
▶	61.0%	(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
	37.4%	(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
	39.7%	(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
	52.9%	(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
	32.7%	(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
	37.4%	(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
	39.5%	(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
	39.1%	(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
	37.4%	(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
	51.4%	(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)
	50.8%	(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
✓	71.8%	(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
	47.4%	(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
✓	80.5%	(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
	44.8%	(/.f64 (*.f64 y (sin.f64 x)) x)
	44.6%	(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
▶	54.1%	(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
	56.9%	(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
✓	96.9%	(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
▶	68.0%	(*.f64 (/.f64 y x) (sin.f64 x))
	31.5%	(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
	17.9%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
	36.1%	(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
	37.0%	(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
✓	57.1%	(*.f64 y (/.f64 (sin.f64 x) x))
▶	11.4%	(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
	52.9%	(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
▶	31.7%	y

Compiler

Compiled 1 042 to 563 computations (46% saved)

simplify587.0ms (4.4%)

Memory

-24.2MiB live, 1 216.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
✓	cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
✓	cost-diff	768	(+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	0	(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (sin.f64 x))

Rules

23 432×	`lower-fma.f32`
23 420×	`lower-fma.f64`
7 032×	`lower-+.f32`
7 030×	`lower-+.f64`
6 174×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	204
0	53	198
1	119	185
2	312	173
3	1045	173
4	4021	173
5	4242	173
6	4272	173
7	4274	173
8	4388	173
9	4651	173
0	8976	170

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y x)
y
x
(sin.f64 x)
y
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
y
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(literal 1/120 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(*.f64 y y)
y
(.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 y (.f64 y y))
(+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))
(.f64 #s(literal 1/120 binary64) (.f64 x x))

Outputs
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 y x)
y
x
(sin.f64 x)
y
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 x x)))))
y
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/120 binary64))))
#s(literal 1/120 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(*.f64 x x)
x
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)
(*.f64 y y)
y
(.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
(.f64 y (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) y))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 y (.f64 y y))
(+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/120 binary64)))

localize120.0ms (0.9%)

Memory

16.3MiB live, 249.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 1/120 binary64) (.f64 x x))
✓	accuracy	97.1%	(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
✓	accuracy	81.3%	(+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
✓	accuracy	99.9%	(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.5%	(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	94.0%	(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	88.9%	(*.f64 (/.f64 y x) (sin.f64 x))

Samples

75.0ms

256×

valid

Compiler

Compiled 222 to 35 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 28.0ms (49.6% of total)

const: 12.0ms (21.3% of total)

ival-add: 8.0ms (14.2% of total)

ival-sin: 6.0ms (10.6% of total)

ival-div: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

-22.2MiB live, 35.2MiB allocated

Counts

18 → 264

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 y x) (sin.f64 x))>
#<alt (/.f64 y x)>
#<alt (sin.f64 x)>
#<alt (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))>
#<alt (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x)))>
#<alt (.f64 (.f64 x x) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)>
#<alt (*.f64 y y)>
#<alt (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)>
#<alt (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))>
#<alt (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))>
#<alt (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))>
#<alt (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))>
#<alt (.f64 #s(literal 1/120 binary64) (.f64 x x))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))>

Outputs
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (* (pow x 4) y))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/6 y)>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))) (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))) (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))))>
#<alt (* 1/120 (* (pow y 5) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))>
#<alt (* (pow y 5) (+ (* 1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (* 1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (+ (* 1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (/ 1 (pow y 4)))))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (+ (* 1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (/ 1 (pow y 4)))))))>
#<alt (* 1/120 (* (pow y 5) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 4))) (+ (* -1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 4))) (+ (* -1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))>
#<alt (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* 1/120 (* (pow x 4) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))>
#<alt (* 1/120 (* (pow x 4) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow y 2)))>
#<alt (+ 1/120 (* 1/5040 (pow y 2)))>
#<alt (+ 1/120 (* 1/5040 (pow y 2)))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>

Calls

66 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	(* (+ (* (+ (* (* y y) 1/120) 1/6) (* y (* y y))) y) (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* 1/120 (* x x)))))
1.0ms	y	@	0	(* y (* 1/120 (* (* x x) (* x x))))
1.0ms	x	@	0	(* y (* 1/120 (* (* x x) (* x x))))
1.0ms	y	@	inf	(* y (* 1/120 (* (* x x) (* x x))))
1.0ms	y	@	-inf	(* (+ (* (+ (* (* y y) 1/120) 1/6) (* y (* y y))) y) (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* 1/120 (* x x)))))

rewrite472.0ms (3.5%)

Memory

20.6MiB live, 844.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 652×	`lower-fma.f32`
6 640×	`lower-fma.f64`
4 398×	`lower-*.f32`
4 376×	`lower-*.f64`
4 246×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	168
0	53	154
1	212	143
2	1622	143
0	8421	140

Stop Event

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

Counts

18 → 729

Calls

Call 1

Inputs
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y x)
(sin.f64 x)
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(*.f64 y y)
(.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))

Outputs
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sin.f64 x))))
(/.f64 (*.f64 y (sin.f64 x)) x)
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(fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))
(fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/128024064000 binary64) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 (.f64 x #s(literal 1/120 binary64)) x)
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))))

simplify557.0ms (4.1%)

Memory

18.1MiB live, 770.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 590×	`lower-fma.f64`
18 590×	`lower-fma.f32`
6 732×	`lower-+.f64`
6 732×	`lower-+.f32`
5 156×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2682
1	700	2602
2	2392	2407
3	7235	2402
0	8133	2247

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

Calls

Call 1

Inputs
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (* (pow x 4) y))
(* 1/120 (pow x 4))
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(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/5040 (pow y 7))
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 7))
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
(pow y 2)
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(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
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(* 1/6 y)
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(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))) (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))) (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))))
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(* -1 (* (pow y 5) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 4))) (+ (* -1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))
(* -1 (* (pow y 5) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 4))) (+ (* -1/6 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/120 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))
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(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))
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(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))
(* 1/120 (* (pow x 4) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* 1/120 (pow y 5))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 5))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
1/6
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(* 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)))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
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(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
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(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
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(* 1/120 (pow x 2))
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(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
1
(+ 1 (* -1/6 (pow x 2)))
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(+ 1 (* -1/6 (pow x 2)))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))

Outputs
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(fma.f64 (.f64 x x) (fma.f64 y #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) y)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
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(/ y x)
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(/ y x)
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x
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(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(sin x)
(sin.f64 x)
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(sin x)
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(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x)))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(.f64 (.f64 x x) (*.f64 x x))
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(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
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(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y (/.f64 (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 y (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y (/.f64 (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 y (.f64 (.f64 x x) (*.f64 x x))))))
(* 1/120 (* (pow x 4) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y (/.f64 (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 y (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 4) (+ (* -1/6 (/ (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (+ (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ y (pow x 4)) (/ (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y (/.f64 (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 y (.f64 (.f64 x x) (*.f64 x x))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (*.f64 y y))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))

eval217.0ms (1.6%)

Memory: 5.1MiB live, 319.8MiB allocated
Compiler: Compiled 69 424 to 2 669 computations (96.2% saved)

prune162.0ms (1.2%)

Memory

18.8MiB live, 395.8MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1 126	15	1 141
Fresh	4	17	21
Picked	2	3	5
Done	0	4	4
Total	1 132	39	1 171

Accuracy

100.0%

Counts

1 171 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
	36.1%	(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
	61.0%	(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
✓	61.0%	(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
	61.0%	(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
	58.8%	(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
	60.9%	(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
	52.9%	(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
	37.4%	(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
	37.4%	(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
	39.7%	(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
	52.9%	(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
	32.7%	(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
	37.4%	(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
	39.5%	(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
	37.4%	(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
	51.4%	(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)
	50.8%	(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
✓	71.8%	(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
✓	80.5%	(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
	44.8%	(/.f64 (*.f64 y (sin.f64 x)) x)
	44.6%	(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
	60.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
	54.1%	(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
	54.0%	(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
	56.9%	(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
✓	96.9%	(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
	49.4%	(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
✓	68.0%	(*.f64 (/.f64 y x) (sin.f64 x))
	31.5%	(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
	11.4%	(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
	17.9%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
	11.4%	(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
	36.1%	(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
	37.0%	(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
	18.6%	(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
✓	57.1%	(*.f64 y (/.f64 (sin.f64 x) x))
	47.1%	(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
✓	31.7%	y

Compiler

Compiled 1 685 to 584 computations (65.3% saved)

regimes123.0ms (0.9%)

Memory

4.9MiB live, 123.8MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

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

Calls

4 calls:

56.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
31.0ms	x
17.0ms	(sinh.f64 y)
16.0ms	y

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes76.0ms (0.6%)

Memory

-51.3MiB live, 138.3MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y) x) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)) x)

Outputs

(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x))

(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (sinh.f64 y)) x)

Calls

4 calls:

26.0ms	y
16.0ms	(sinh.f64 y)
15.0ms	x
15.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`y`
99.2%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
96.9%	1	`(sinh.f64 y)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes64.0ms (0.5%)

Memory

28.6MiB live, 146.1MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)

Outputs

(*.f64 (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))

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

(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (sinh.f64 y)) x)

Calls

4 calls:

17.0ms	x
16.0ms	y
16.0ms	(sinh.f64 y)
13.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
94.6%	2	`x`
98.2%	3	`y`
92.8%	2	`(sinh.f64 y)`
99.8%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes32.0ms (0.2%)

Memory

-19.2MiB live, 56.3MiB allocated

Counts

53 → 3

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)

Outputs

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

(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)

(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)

Calls

2 calls:

15.0ms	y
14.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
97.5%	3	`y`
96.8%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

17.4MiB live, 55.9MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)

Outputs

(*.f64 (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))

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

(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))

Calls

2 calls:

14.0ms	y
13.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
96.8%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
93.9%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-17.6MiB live, 25.2MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 y (sin.f64 x)) x)

Outputs

(*.f64 (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))

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

(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
96.6%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes57.0ms (0.4%)

Memory

11.8MiB live, 120.7MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))

Outputs

(fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) y) y)

(*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x)))))

(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))

Calls

4 calls:

16.0ms	y
15.0ms	x
14.0ms	(sinh.f64 y)
11.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
63.0%	2	`y`
61.0%	1	`(sinh.f64 y)`
77.4%	3	`x`
71.6%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes29.0ms (0.2%)

Memory

6.0MiB live, 56.3MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)
(.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/720 binary64))))
(.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)) x)
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/5040 binary64) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y)
(.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) x)
(fma.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) (+.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 y (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 x (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) y)
(fma.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))

Outputs

(*.f64 (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))

(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)

Calls

2 calls:

14.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
12.0ms	x

Results

Accuracy	Segments	Branch
71.6%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
67.6%	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)

Outputs

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

(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
70.9%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-18.8MiB live, 19.6MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)

Outputs

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

(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y)

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
70.9%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y)

Outputs

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

(fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) y) y)

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
70.8%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-23.4MiB live, 14.5MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)

Outputs

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

(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
68.7%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))

Outputs
(.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
66.2%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y (*.f64 y y)) y)

Outputs
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)

Calls

2 calls:

5.0ms	x
5.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
58.8%	1	`x`
65.4%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-12.5MiB live, 25.3MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 x x) (.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 y (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) x) (.f64 x (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 x x)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 x (.f64 x (.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)))) y)

Outputs
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.6%	2	`x`
52.9%	1	`(sinh.f64 y)`
56.6%	2	`y`
59.5%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 x (.f64 y (.f64 x #s(literal -1/6 binary64))) y)

Outputs
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.4%	1	`(sinh.f64 y)`
37.4%	1	`y`
37.4%	1	`x`
37.4%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes26.0ms (0.2%)

Memory

-45.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
y
(*.f64 y #s(literal 1 binary64))

Outputs
y

Calls

4 calls:

21.0ms	x
1.0ms	y
1.0ms	(sinh.f64 y)
1.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
31.7%	1	`x`
31.7%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
31.7%	1	`(sinh.f64 y)`
31.7%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.438185504145488e-5	+inf

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.438185504145488e-5	+inf
0.0ms	-inf	-1.8100861716171742e-45

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch25.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.67904905524898e+59	1.2586151687160949e+63
10.0ms	33797.704100131494	452932.85551587614

Samples

15.0ms

224×

valid

Compiler

Compiled 500 to 323 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 5.0ms (50.7% of total)

ival-div: 1.0ms (10.1% of total)

ival-mult: 1.0ms (10.1% of total)

ival-sinh: 1.0ms (10.1% of total)

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

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.438185504145488e-5	+inf
0.0ms	-inf	-1.8100861716171742e-45

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.438185504145488e-5	+inf
0.0ms	-inf	-1.8100861716171742e-45

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch90.0ms (0.7%)

Memory

-20.6MiB live, 18.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.1418376925212993e+52	5.03360110922591e+52
78.0ms	3.645100700042922e-154	3.4410091146908025e-150

Samples

79.0ms

208×

valid

Compiler

Compiled 555 to 334 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 4.0ms (54.2% of total)

ival-div: 1.0ms (13.5% of total)

ival-mult: 1.0ms (13.5% of total)

ival-sinh: 1.0ms (13.5% of total)

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.43e-322	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2662716580257262e-237	-1.5063240436938156e-258

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2662716580257262e-237	-1.5063240436938156e-258

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2662716580257262e-237	-1.5063240436938156e-258

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2662716580257262e-237	-1.5063240436938156e-258

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.37808722869553e-118	6.158450653443654e-117

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2662716580257262e-237	-1.5063240436938156e-258

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2662716580257262e-237	-1.5063240436938156e-258

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify12.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	648
1	153	648

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x) (sin.f64 x)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)))
(if (<=.f64 y #s(literal 35000 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) (if (<=.f64 y #s(literal 119999999999999999635447006472721788268781279119589754301054976 binary64)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) (/.f64 (.f64 y (.f64 (sin.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 y (/.f64 (sin.f64 x) x)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))))
(if (<=.f64 x #s(literal 3019169939857233/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) y) y) (if (<=.f64 x #s(literal 38999999999999999735616998300103491082006629235818496 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (.f64 x x))))) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) y) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
y

Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x) (sin.f64 x)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 (sin.f64 x) (/.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y (.f64 y y)) y) x)) (/.f64 (.f64 (sinh.f64 y) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) x))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (sinh.f64 y)) x)))
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(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))))
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(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 y (/.f64 (sin.f64 x) x)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))))
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(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 x x) #s(literal -1/6 binary64)) y)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64))) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) y) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y)) y)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)) (fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)) (fma.f64 (.f64 y y) (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y) (fma.f64 (.f64 y y) (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y) (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(fma.f64 x (.f64 x (.f64 y #s(literal -1/6 binary64))) y)
y

soundness2.1s (15.5%)

Memory

0.7MiB live, 1 429.6MiB allocated

Rules

21 250×	`lower-fma.f64`
21 250×	`lower-fma.f32`
18 590×	`lower-fma.f64`
18 590×	`lower-fma.f32`
15 192×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	5664
1	1500	5393
2	5342	5055
0	8487	4609
0	6	16
0	10	16
1	27	16
2	117	16
3	840	16
0	8257	16
0	34	242
0	71	222
1	290	222
2	2344	222
0	8662	220
0	113	944
1	373	889
2	1229	849
3	3047	828
0	8158	792
0	281	4034
1	1011	3683
2	3784	3396
0	8062	3135
0	205	2682
1	700	2602
2	2392	2407
3	7235	2402
0	8133	2247

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

Compiler

Compiled 1 437 to 621 computations (56.8% saved)

preprocess238.0ms (1.8%)

Memory

19.3MiB live, 208.3MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 1 372 to 280 computations (79.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze60.0ms (0.4%)

sample888.0ms (6.6%)

preprocess352.0ms (2.6%)

explain80.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify300.0ms (2.2%)

localize35.0ms (0.3%)

series62.0ms (0.5%)

rewrite562.0ms (4.2%)

simplify690.0ms (5.1%)

eval115.0ms (0.9%)

prune84.0ms (0.6%)

simplify324.0ms (2.4%)

localize122.0ms (0.9%)

series31.0ms (0.2%)

rewrite442.0ms (3.3%)

simplify569.0ms (4.2%)

eval220.0ms (1.6%)

prune323.0ms (2.4%)

simplify692.0ms (5.2%)

localize391.0ms (2.9%)

series83.0ms (0.6%)

rewrite613.0ms (4.6%)

simplify655.0ms (4.9%)

eval380.0ms (2.8%)

prune227.0ms (1.7%)

simplify587.0ms (4.4%)

localize120.0ms (0.9%)

series23.0ms (0.2%)

rewrite472.0ms (3.5%)

simplify557.0ms (4.1%)

eval217.0ms (1.6%)

prune162.0ms (1.2%)

regimes123.0ms (0.9%)

regimes76.0ms (0.6%)

regimes64.0ms (0.5%)

regimes32.0ms (0.2%)

regimes30.0ms (0.2%)

regimes16.0ms (0.1%)

regimes57.0ms (0.4%)

regimes29.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes11.0ms (0.1%)

regimes24.0ms (0.2%)

regimes8.0ms (0.1%)

regimes26.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch90.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness2.1s (15.5%)

preprocess238.0ms (1.8%)

end0.0ms (0%)

Profiling