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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample905.0ms (10.5%)

Memory

21.8MiB live, 1 245.8MiB allocated

Samples

675.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-sin: 228.0ms (54.7% of total)

ival-div: 85.0ms (20.4% of total)

ival-mult: 53.0ms (12.7% of total)

ival-sinh: 40.0ms (9.6% of total)

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

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

Bogosity

explain290.0ms (3.4%)

Memory

-31.9MiB live, 86.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

66.0ms

512×

valid

Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions

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

ival-sin: 11.0ms (50.4% 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)

preprocess419.0ms (4.9%)

Memory

17.1MiB live, 135.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	60	41
2	172	41
3	580	37
4	2054	37
5	4937	37
6	6560	37
7	7540	37
0	6	7
0	10	7
1	19	7
2	36	7
3	74	7
4	152	7
5	301	7
6	761	7
7	1807	7
8	3188	7
9	4164	7
10	4648	7
11	4727	7
12	4730	7
13	4732	7
14	5152	7
15	5372	7
16	5492	7
17	5626	7
18	5730	7
19	5770	7
20	5786	7
21	5794	7
22	5794	7
23	5912	7
24	6149	7
25	6185	7
26	6185	7
27	6185	7
0	6185	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify305.0ms (3.5%)

Memory

2.1MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	19	17
2	36	17
3	74	17
4	152	17
5	301	17
6	761	17
7	1807	17
8	3188	17
9	4164	17
10	4648	17
11	4727	17
12	4730	17
13	4732	17
14	5152	17
15	5372	17
16	5492	17
17	5626	17
18	5730	17
19	5770	17
20	5786	17
21	5794	17
22	5794	17
23	5912	17
24	6149	17
25	6185	17
26	6185	17
27	6185	17
0	6185	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (0.7%)

Memory

-1.2MiB live, 36.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.00390625	(/.f64 (sinh.f64 y) y)
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.0078125	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Samples

59.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-sin: 48.0ms (92% of total)

ival-div: 2.0ms (3.8% of total)

ival-mult: 1.0ms (1.9% of total)

ival-sinh: 1.0ms (1.9% of total)

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

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

series11.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

4 → 23

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
2.0ms	y	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms	y	@	0	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms	x	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms	x	@	0	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))

simplify213.0ms (2.5%)

Memory

-23.3MiB live, 201.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	363
1	288	356
2	898	306
3	3156	298
4	7379	298
0	8537	268

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 21

Calls

Call 1

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

Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) (.f64 x x) (fma.f64 (.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64)))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(fma.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x (.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (pow.f64 x #s(literal 5 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))

rewrite138.0ms (1.6%)

Memory

7.9MiB live, 234.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	26	15
2	121	15
3	870	15
0	8426	15

Stop Event

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

Counts

4 → 598

Calls

Call 1

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

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

eval122.0ms (1.4%)

Memory: -8.9MiB live, 114.6MiB allocated
Compiler: Compiled 11 503 to 1 942 computations (83.1% saved)

prune12.0ms (0.1%)

Memory

3.4MiB live, 39.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	614	5	619
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	615	5	620

Accuracy

100.0%

Counts

620 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
▶	95.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	89.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	77.6%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	48.3%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Compiler

Compiled 146 to 106 computations (27.4% saved)

simplify190.0ms (2.2%)

Memory

-4.9MiB live, 92.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	228
0	48	228
1	87	228
2	142	228
3	285	228
4	562	228
5	856	228
6	1444	228
7	2443	228
8	3942	228
9	4908	228
10	5415	228
11	5672	228
12	6680	228
13	7926	228
0	8080	228

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.2%)

Memory

4.2MiB live, 117.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.0625	(*.f64 (sinh.f64 y) (sin.f64 x))
accuracy	7.2105188046395154	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
accuracy	0.0078125	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.0390625	(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.109375	(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy	6.924251911928257	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.0078125	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy	0.09375	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	14.172655204877586	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.0078125	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
accuracy	32.9222734951561	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
accuracy	0.28680725918669664	(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	3.153063694856825	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))

Samples

87.0ms

256×

valid

Compiler

Compiled 164 to 27 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 16.0ms (36.4% of total)

ival-sin: 9.0ms (20.5% of total)

const: 8.0ms (18.2% of total)

ival-add: 6.0ms (13.6% of total)

ival-div: 3.0ms (6.8% of total)

ival-sinh: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

-1.5MiB live, 42.0MiB allocated

Counts

18 → 53

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
3.0ms	y	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
3.0ms	y	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
1.0ms	y	@	0	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
1.0ms	x	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))

simplify225.0ms (2.6%)

Memory

-10.4MiB live, 218.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	741
1	499	703
2	1530	641
3	3747	630
0	8100	574

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 51

Calls

Call 1

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

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

rewrite195.0ms (2.3%)

Memory

23.1MiB live, 181.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	192
0	48	192
1	170	192
2	1082	192
0	8173	192

Stop Event

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

Counts

18 → 390

Calls

Call 1

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

Outputs
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) y) y))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) y) (neg.f64 y) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal 1/720 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))
(+.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))

eval201.0ms (2.3%)

Memory: -21.5MiB live, 101.8MiB allocated
Compiler: Compiled 14 441 to 2 012 computations (86.1% saved)

prune97.0ms (1.1%)

Memory

9.1MiB live, 47.0MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	447	11	458
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	449	14	463

Accuracy

100.0%

Counts

463 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.8%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
▶	95.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	89.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	94.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	77.6%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
▶	88.5%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
	44.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
	32.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
✓	48.3%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	52.1%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	35.0%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	60.3%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	53.4%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	35.9%	(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Compiler

Compiled 551 to 397 computations (27.9% saved)

simplify454.0ms (5.3%)

Memory

-19.0MiB live, 140.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff	0	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
cost-diff	0	(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	339
0	70	339
1	122	339
2	208	339
3	373	339
4	637	339
5	925	339
6	1126	339
7	1572	339
8	2167	339
9	2844	339
10	3013	339
11	3185	339
12	4183	339
13	5796	339
14	6367	339
15	6606	339
16	6707	339
17	6755	339
18	6939	339
19	7321	339
20	7351	339
21	7351	339
22	7481	339
23	7530	339
24	7570	339
0	8274	335

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/5040 binary64) y)
#s(literal 1/5040 binary64)
y
#s(literal 1/120 binary64)
(*.f64 y y)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(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)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1 binary64)

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

localize239.0ms (2.8%)

Memory

32.8MiB live, 224.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.1953125	(.f64 (.f64 y y) #s(literal 1/120 binary64))
accuracy	6.924251911928257	#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
accuracy	29.21468062466091	#s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
accuracy	0.03515625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	30.77767505200039	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy	32.9222734951561	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
accuracy	0.0625	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
accuracy	0.36328125	(*.f64 #s(literal 1/6 binary64) y)
accuracy	14.172655204877586	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
accuracy	0.0078125	(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
accuracy	0.0703125	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy	30.66382562705159	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy	32.9222734951561	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.03125	(fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
accuracy	3.153063694856825	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))

Samples

181.0ms

256×

valid

Compiler

Compiled 209 to 37 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

const: 77.0ms (47.7% of total)

ival-mult: 45.0ms (27.9% of total)

ival-sin: 23.0ms (14.2% of total)

ival-add: 9.0ms (5.6% of total)

ival-pow: 3.0ms (1.9% of total)

ival-div: 2.0ms (1.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory

-13.8MiB live, 72.0MiB allocated

Counts

24 → 53

Calls

Call 1

Inputs
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
(.f64 (.f64 y y) #s(literal 1/120 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120))
13.0ms	y	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120))
3.0ms	y	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120))
2.0ms	x	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120))
1.0ms	x	@	0	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120))

simplify188.0ms (2.2%)

Memory

10.2MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	598
1	456	581
2	1336	539
3	4018	531
4	7279	531
0	8047	489

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

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

Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) (.f64 x x) (fma.f64 (.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64)))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(fma.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x (.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (pow.f64 x #s(literal 5 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(sin x)
(sin.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 5 binary64)))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(.f64 (sin.f64 x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(* 1/5040 (pow y 2))
(.f64 #s(literal 1/5040 binary64) (.f64 y y))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* 1/5040 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))

rewrite165.0ms (1.9%)

Memory

-27.3MiB live, 209.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
0	70	291
1	240	291
2	1542	291
0	8325	287

Stop Event

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

Counts

24 → 388

Calls

Call 1

Inputs
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
(.f64 (.f64 y y) #s(literal 1/120 binary64))

Outputs
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/5159780352000000000 binary64) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) (-.f64 #s(literal 1/46656 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
(.f64 (.f64 #s(literal 1/120 binary64) y) y)
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal 1/120 binary64) y))

eval73.0ms (0.8%)

Memory: -4.7MiB live, 76.6MiB allocated
Compiler: Compiled 17 010 to 2 216 computations (87% saved)

prune23.0ms (0.3%)

Memory

18.4MiB live, 55.8MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	446	10	456
Fresh	4	2	6
Picked	2	3	5
Done	0	3	3
Total	452	18	470

Accuracy

100.0%

Counts

470 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.8%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
✓	95.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	89.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	94.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	88.5%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))
✓	77.6%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
✓	88.5%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
▶	32.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
✓	48.3%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	52.1%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
	53.4%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	60.0%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
▶	35.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	35.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
▶	35.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	35.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
▶	35.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	11.8%	(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Compiler

Compiled 673 to 482 computations (28.4% saved)

simplify217.0ms (2.5%)

Memory

9.1MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
cost-diff	0	(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff	2	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
cost-diff	0	(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
cost-diff	0	(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff	2	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	382
0	70	382
1	124	365
2	179	365
3	291	365
4	438	365
5	594	365
6	793	365
7	1115	365
8	1639	365
9	2305	365
10	2468	365
11	2558	365
12	2952	365
13	3640	365
14	4018	365
15	4225	365
16	4309	365
17	4331	365
18	4369	365
19	4421	365
20	4437	365
21	4437	365
22	4445	365
0	4445	354

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize210.0ms (2.4%)

Memory

-24.0MiB live, 226.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
accuracy	0.1953125	(.f64 (.f64 y y) #s(literal 1/6 binary64))
accuracy	14.172655204877586	#s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
accuracy	29.20665817204893	#s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
accuracy	0.078125	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy	30.77767505200039	#s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
accuracy	32.9222734951561	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	0.0703125	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy	0.0703125	(.f64 (.f64 x x) x)
accuracy	30.66382562705159	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	32.9222734951561	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
accuracy	0.1953125	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	30.66382562705159	#s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
accuracy	32.9222734951561	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	0.03125	(fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	0.36883850918669664	(.f64 #s(literal 1/5040 binary64) (.f64 y y))
accuracy	3.153063694856825	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	29.21635156267758	#s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y)))

Samples

133.0ms

256×

valid

Compiler

Compiled 217 to 36 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-add: 57.0ms (56.7% of total)

ival-mult: 22.0ms (21.9% of total)

const: 11.0ms (10.9% of total)

ival-sin: 7.0ms (7% of total)

ival-div: 2.0ms (2% of total)

ival-sinh: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

25 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (+ (* (* x x) 1/120) -1/6) (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (* x x) 1/120) -1/6) (* x x)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (* (* y y) 1/6))
2.0ms	x	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (+ (* (* x x) 1/120) -1/6) (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (* x x) 1/120) -1/6) (* x x)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (* (* y y) 1/6))
2.0ms	y	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (+ (* (* x x) 1/120) -1/6) (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (* x x) 1/120) -1/6) (* x x)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (* (* y y) 1/6))
2.0ms	x	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (+ (* (* x x) 1/120) -1/6) (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (* x x) 1/120) -1/6) (* x x)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (* (* y y) 1/6))
2.0ms	x	@	0	((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (+ (* (* x x) 1/120) -1/6) (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (* x x) 1/120) -1/6) (* x x)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* x x) 1/120) -1/6) (* (* y y) 1/6))

simplify291.0ms (3.4%)

Memory

-24.5MiB live, 167.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	586
1	424	569
2	1282	527
3	3905	519
4	7154	519
0	8164	480

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) (.f64 x x) (fma.f64 (.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64)))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(fma.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x (.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (pow.f64 x #s(literal 5 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(sin x)
(sin.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(.f64 (sin.f64 x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 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))
(* 1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/5040 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 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 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))

rewrite329.0ms (3.8%)

Memory

14.6MiB live, 210.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	335
0	70	318
1	230	318
2	1274	318
0	8338	307

Stop Event

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

Counts

25 → 381

Calls

Call 1

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

Outputs
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y)))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y)))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/5159780352000000000 binary64) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) (-.f64 #s(literal 1/46656 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) y) y)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(.f64 y (.f64 #s(literal 1/6 binary64) y))

eval81.0ms (0.9%)

Memory: 7.2MiB live, 57.0MiB allocated
Compiler: Compiled 15 796 to 1 818 computations (88.5% saved)

prune34.0ms (0.4%)

Memory

9.7MiB live, 47.9MiB allocated

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	362	9	371
Fresh	4	3	7
Picked	1	4	5
Done	0	6	6
Total	367	22	389

Accuracy

100.0%

Counts

389 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.8%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
✓	95.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	94.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
✓	89.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
✓	94.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	88.5%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))
✓	77.6%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
✓	88.5%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
✓	32.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
	32.8%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
✓	48.3%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	28.8%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
	60.0%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
	30.2%	(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
	35.0%	(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	35.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	35.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
✓	35.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	35.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	34.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	35.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
✓	35.9%	(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Compiler

Compiled 1 311 to 530 computations (59.6% saved)

regimes132.0ms (1.5%)

Memory

-13.3MiB live, 61.9MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

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

Calls

5 calls:

78.0ms	(/.f64 (sinh.f64 y) y)
21.0ms	y
11.0ms	(sin.f64 x)
11.0ms	x
10.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
100.0%	1	`(sin.f64 x)`
100.0%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes123.0ms (1.4%)

Memory

-12.6MiB live, 70.3MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))

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

Calls

5 calls:

60.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
33.0ms	x
10.0ms	(sin.f64 x)
10.0ms	y
8.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
95.0%	1	`x`
95.0%	1	`y`
96.8%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
95.0%	1	`(sin.f64 x)`
95.0%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/5040 y) y) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* (* 1/5040 y) y) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
96.6%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes45.0ms (0.5%)

Memory

8.2MiB live, 46.4MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))

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

Calls

5 calls:

12.0ms	(sin.f64 x)
9.0ms	x
8.0ms	y
8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
89.0%	1	`y`
89.0%	1	`x`
89.0%	1	`(sin.f64 x)`
89.0%	1	`(/.f64 (sinh.f64 y) y)`
92.0%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
91.2%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.1%)

Memory

-24.7MiB live, 13.6MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) y) y #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
90.7%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes34.0ms (0.4%)

Memory

18.8MiB live, 59.6MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

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

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

Calls

5 calls:

9.0ms	y
7.0ms	x
7.0ms	(sin.f64 x)
6.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
88.9%	2	`(/.f64 (sinh.f64 y) y)`
77.6%	1	`x`
91.0%	3	`y`
77.6%	1	`(sin.f64 x)`
91.1%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes21.0ms (0.2%)

Memory

-0.1MiB live, 37.6MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

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

Calls

3 calls:

9.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	y
5.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
77.6%	1	`(/.f64 (sinh.f64 y) y)`
82.5%	3	`y`
82.8%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes13.0ms (0.1%)

Memory

-10.8MiB live, 27.3MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

6.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms	y

Results

Accuracy	Segments	Branch
81.2%	3	`y`
79.8%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))

Outputs

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

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

(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.9%	3	`y`
79.4%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes36.0ms (0.4%)

Memory

-4.1MiB live, 35.2MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) (+ (* 1/120 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Outputs

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

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

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

Calls

5 calls:

18.0ms	y
4.0ms	(sin.f64 x)
4.0ms	x
4.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
67.3%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
48.3%	1	`x`
57.8%	2	`(/.f64 (sinh.f64 y) y)`
48.3%	1	`(sin.f64 x)`
59.4%	3	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes53.0ms (0.6%)

Memory

-4.4MiB live, 37.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

38.0ms	y
4.0ms	(sin.f64 x)
3.0ms	x
3.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
45.7%	2	`(sin.f64 x)`
38.2%	2	`x`
35.9%	1	`(/.f64 (sinh.f64 y) y)`
37.5%	2	`y`
45.7%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.1%)

Memory

-17.8MiB live, 19.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
2.0ms	(sin.f64 x)
2.0ms	y
2.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
35.9%	1	`y`
35.9%	1	`x`
35.9%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
35.9%	1	`(sin.f64 x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9931782625226031	+inf
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch27.0ms (0.3%)

Memory

10.1MiB live, 47.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.34632952437756e+151	1.5229849501241888e+155
9.0ms	0.0010577771167139159	0.0034535353704816044

Samples

17.0ms

208×

valid

Compiler

Compiled 457 to 374 computations (18.2% saved)

Precisions

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

ival-sin: 8.0ms (64.9% of total)

ival-div: 1.0ms (8.1% of total)

ival-mult: 1.0ms (8.1% of total)

ival-sinh: 1.0ms (8.1% of total)

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

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9931782625226031	+inf
0.0ms	-inf	-0.9984173649182717

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.226271994437663e-5	0.00479204321085113

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify264.0ms (3.1%)

Memory

-228.0MiB live, 66.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	723
1	133	723
2	165	723
3	220	723
4	287	723
5	398	723
6	747	723
7	1924	723
8	3914	723

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 7839866231326559/2305843009213693952 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3600000000000000073468536182713499073730698396558036388441900011269100219105321938119974237244389118999173356855892469495495551220521129186422063865266176 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ ( (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 7839866231326559/2305843009213693952 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3600000000000000073468536182713499073730698396558036388441900011269100219105321938119974237244389118999173356855892469495495551220521129186422063865266176 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 7378697629483821/147573952589676412928 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (fma.f64 (.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

soundness1.7s (19.9%)

Memory

21.3MiB live, 1 135.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
0	70	291
1	240	291
2	1542	291
0	8325	287
0	150	598
1	456	581
2	1336	539
3	4018	531
4	7279	531
0	8047	489
0	142	586
1	424	569
2	1282	527
3	3905	519
4	7154	519
0	8164	480
0	148	741
1	499	703
2	1530	641
3	3747	630
0	8100	574
0	43	335
0	70	318
1	230	318
2	1274	318
0	8338	307
0	27	192
0	48	192
1	170	192
2	1082	192
0	8173	192
0	92	363
1	288	356
2	898	306
3	3156	298
4	7379	298
0	8537	268

Stop Event

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

Compiler

Compiled 1 443 to 707 computations (51% saved)

preprocess216.0ms (2.5%)

Memory

-5.2MiB live, 108.2MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 1 516 to 280 computations (81.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.2%)

sample905.0ms (10.5%)

explain290.0ms (3.4%)

preprocess419.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify305.0ms (3.5%)

localize64.0ms (0.7%)

series11.0ms (0.1%)

simplify213.0ms (2.5%)

rewrite138.0ms (1.6%)

eval122.0ms (1.4%)

prune12.0ms (0.1%)

simplify190.0ms (2.2%)

localize104.0ms (1.2%)

series24.0ms (0.3%)

simplify225.0ms (2.6%)

rewrite195.0ms (2.3%)

eval201.0ms (2.3%)

prune97.0ms (1.1%)

simplify454.0ms (5.3%)

localize239.0ms (2.8%)

series39.0ms (0.5%)

simplify188.0ms (2.2%)

rewrite165.0ms (1.9%)

eval73.0ms (0.8%)

prune23.0ms (0.3%)

simplify217.0ms (2.5%)

localize210.0ms (2.4%)

series13.0ms (0.2%)

simplify291.0ms (3.4%)

rewrite329.0ms (3.8%)

eval81.0ms (0.9%)

prune34.0ms (0.4%)

regimes132.0ms (1.5%)

regimes123.0ms (1.4%)

regimes10.0ms (0.1%)

regimes45.0ms (0.5%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes34.0ms (0.4%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes36.0ms (0.4%)

regimes53.0ms (0.6%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify264.0ms (3.1%)

soundness1.7s (19.9%)

preprocess216.0ms (2.5%)

end0.0ms (0%)

Profiling