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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB 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)

sample674.0ms (11.8%)

Memory

2.6MiB live, 210.4MiB allocated

Samples

470.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-sin: 175.0ms (54.5% of total)

ival-div: 56.0ms (17.5% of total)

ival-mult: 46.0ms (14.3% of total)

ival-sinh: 36.0ms (11.2% of total)

ival-true: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain63.0ms (1.1%)

Memory

-2.3MiB live, 34.2MiB 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

Total Time

17.92822265625

Average Time

0.07003211975097656

Samples

32.0ms

512×

valid

Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 10.0ms (49.8% of total)

ival-div: 4.0ms (19.9% of total)

ival-mult: 3.0ms (15% of total)

ival-sinh: 2.0ms (10% of total)

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

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

preprocess372.0ms (6.5%)

Memory

1.4MiB live, 16.1MiB 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	1988	37
5	4628	37
6	6336	37
7	7331	37
8	7843	37
0	6	7
0	10	7
1	19	7
2	36	7
3	74	7
4	154	7
5	302	7
6	761	7
7	1800	7
8	3035	7
9	4031	7
10	4516	7
11	4594	7
12	4597	7
13	4599	7
14	5019	7
15	5239	7
16	5359	7
17	5493	7
18	5597	7
19	5637	7
20	5653	7
21	5661	7
22	5661	7
23	5779	7
24	6017	7
25	6053	7
26	6053	7
27	6053	7
0	6053	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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

simplify308.0ms (5.4%)

Memory

3.3MiB live, 10.4MiB 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	154	17
5	302	17
6	761	17
7	1800	17
8	3035	17
9	4031	17
10	4516	17
11	4594	17
12	4597	17
13	4599	17
14	5019	17
15	5239	17
16	5359	17
17	5493	17
18	5597	17
19	5637	17
20	5653	17
21	5661	17
22	5661	17
23	5779	17
24	6017	17
25	6053	17
26	6053	17
27	6053	17
0	6053	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

localize34.0ms (0.6%)

Memory

-2.4MiB live, 7.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(/.f64 (sinh.f64 y) y)
accuracy	0.00390625	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
accuracy	0.00390625	(sinh.f64 y)

Samples

17.0ms

256×

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

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

ival-sin: 6.0ms (59% of total)

ival-div: 2.0ms (19.7% of total)

ival-mult: 1.0ms (9.8% of total)

ival-sinh: 1.0ms (9.8% of total)

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

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

series11.0ms (0.2%)

Memory

-3.3MiB live, 4.2MiB 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))

simplify139.0ms (2.4%)

Memory

7.5MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	363
1	288	356
2	898	306
3	3148	298
4	7374	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 (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 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))

rewrite131.0ms (2.3%)

Memory

-6.7MiB live, 46.5MiB 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	8384	15

Stop Event

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

Counts

4 → 644

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)))) (*.f64 y y))
(.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 #s(literal -2 binary64) (.f64 (.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)))
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(+.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 (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 #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))
(+.f64 (sinh.f64 y) #s(literal 0 binary64))

eval64.0ms (1.1%)

Memory: 5.6MiB live, 55.7MiB allocated
Compiler: Compiled 12 422 to 2 075 computations (83.3% saved)

prune11.0ms (0.2%)

Memory

-0.8MiB live, 25.3MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	660	5	665
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	660	6	666

Accuracy

100.0%

Counts

666 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.6%	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	92.3%	(.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))))
▶	88.5%	(.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))))
▶	79.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	50.6%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Compiler

Compiled 153 to 112 computations (26.8% saved)

simplify137.0ms (2.4%)

Memory

3.9MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sinh.f64 y)
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) y)
cost-diff	0	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 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	227
0	48	227
1	87	227
2	143	227
3	290	227
4	578	227
5	880	227
6	1445	227
7	2433	227
8	3870	227
9	4895	227
10	5416	227
11	5672	227
12	6692	227
13	7926	227
0	8084	227

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

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

localize73.0ms (1.3%)

Memory

-8.8MiB live, 29.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.16015625	(/.f64 (sin.f64 x) y)
accuracy	5.894531250000001	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
accuracy	0.00390625	(.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	0.04296875	(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	0.0625	(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy	7.265922968602024	#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	(sin.f64 x)
accuracy	0.00390625	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy	0.0859375	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	13.338481364641947	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
accuracy	31.441444274416185	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	0.025722509768442016	(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	0.03515625	(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	0.0625	(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	4.870215919997141	#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

52.0ms

256×

valid

Compiler

Compiled 390 to 54 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 12.0ms (33% of total)

const: 8.0ms (22% of total)

ival-add: 6.0ms (16.5% of total)

ival-sin: 6.0ms (16.5% of total)

ival-div: 3.0ms (8.2% of total)

ival-sinh: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-0.2MiB live, 7.2MiB allocated

Counts

18 → 49

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 (sin.f64 x) y) (sinh.f64 y))
(/.f64 (sin.f64 x) y)
(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))))
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) y)) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(/ (sin x) 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
(* 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
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) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (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) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (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) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (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) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (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) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))

simplify149.0ms (2.6%)

Memory

10.0MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	612
1	472	605
2	1346	543
3	4493	533
4	7401	533
0	8029	483

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

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

rewrite138.0ms (2.4%)

Memory

-0.0MiB live, 54.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	191
0	48	191
1	170	191
2	1100	191
0	8389	191

Stop Event

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

Counts

18 → 419

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 (sin.f64 x) y) (sinh.f64 y))
(/.f64 (sin.f64 x) y)
(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))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (neg.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)))
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(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 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)))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (pow.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)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.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 (.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 (/.f64 #s(literal -1/36 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))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.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 (.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))) (fma.f64 (/.f64 #s(literal -1/36 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))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (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)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (.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))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y #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 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y #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 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (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))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y #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 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) (-.f64 #s(literal 1/46656 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/373248000 binary64)))) (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))))))
(/.f64 (-.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 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (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))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.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 (neg.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)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (neg.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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))
(/.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)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 y #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (neg.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 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (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))))))
(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)))

eval81.0ms (1.4%)

Memory: -5.6MiB live, 46.3MiB allocated
Compiler: Compiled 15 373 to 2 093 computations (86.4% saved)

prune19.0ms (0.3%)

Memory

-0.9MiB live, 25.1MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	488	15	503
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	491	18	509

Accuracy

100.0%

Counts

509 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	92.3%	(.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))))
▶	88.5%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	92.1%	(.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))))
▶	79.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
	88.2%	(.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))))
	32.1%	(.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)))))
✓	50.6%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	48.7%	(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
	62.3%	(.f64 #s(approx (sin x) (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)) #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))))
	61.0%	(.f64 #s(approx (sin x) (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)) #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))))
	55.3%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	39.5%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	61.8%	(.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 (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))))
	60.1%	(.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))))
	54.7%	(.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 771 to 530 computations (31.3% saved)

simplify350.0ms (6.1%)

Memory

1.3MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(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))
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))))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) 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 (.f64 #s(literal 1/120 binary64) 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 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 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	42	369
0	72	364
1	123	364
2	191	364
3	353	364
4	610	364
5	808	364
6	1010	364
7	1419	364
8	2038	364
9	2674	364
10	3005	364
11	3197	364
12	4462	364
13	5807	364
14	6473	364
15	6714	364
16	6820	364
17	6863	364
18	7021	364
19	7453	364
20	7495	364
21	7497	364
22	7497	364
23	7497	364
24	7663	364
25	7774	364
0	8195	364

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

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

localize98.0ms (1.7%)

Memory

2.1MiB live, 41.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(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	0.08984375	(.f64 #s(literal 1/5040 binary64) (.f64 y y))
accuracy	4.870215919997141	#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	30.524687824503015	#s(approx (+ (* 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y)))
accuracy	0.0390625	(*.f64 #s(literal 1/120 binary64) y)
accuracy	0.04296875	(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
accuracy	7.265922968602024	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0.00390625	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
accuracy	0.06640625	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) y)
accuracy	13.338481364641947	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
accuracy	0.00390625	(*.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	0.05078125	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy	31.441444274416185	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	31.603221293376585	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy	0.025722509768442016	(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	0.03515625	(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	0.0703125	(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
accuracy	4.870215919997141	#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

72.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 598 to 83 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 21.0ms (39.3% of total)

const: 10.0ms (18.7% of total)

ival-add: 10.0ms (18.7% of total)

ival-sin: 6.0ms (11.2% of total)

ival-div: 2.0ms (3.7% of total)

ival-pow: 2.0ms (3.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.5%)

Memory

-5.4MiB live, 8.5MiB allocated

Counts

25 → 45

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

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)
(* 1/2 (/ (* (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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(+ (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)))))))
1/6
(+ 1/6 (* 1/120 (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 y)
(* 1/120 y)
(* 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)))))
(* 1/5040 (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) (+ 1/5040 (* 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
16.0ms	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)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* (* 1/120 y) y) 1/6) (* 1/120 y) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)))
5.0ms	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)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* (* 1/120 y) y) 1/6) (* 1/120 y) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)))
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)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* (* 1/120 y) y) 1/6) (* 1/120 y) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)))
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)) (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)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* (* 1/120 y) y) 1/6) (* 1/120 y) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)))
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)) (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)) (/ (sinh y) y) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (/ (sinh y) y) (* 1/6 y) (+ (* (* 1/120 y) y) 1/6) (* 1/120 y) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)))

simplify143.0ms (2.5%)

Memory

0.6MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	520
1	410	503
2	1187	461
3	3577	453
4	6261	453
0	8273	412

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

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

rewrite137.0ms (2.4%)

Memory

10.4MiB live, 53.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	304
0	72	300
1	250	300
2	1521	300
0	8396	300

Stop Event

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

Counts

25 → 365

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

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

eval62.0ms (1.1%)

Memory: -10.1MiB live, 40.4MiB allocated
Compiler: Compiled 15 919 to 2 084 computations (86.9% saved)

prune23.0ms (0.4%)

Memory

-0.7MiB live, 25.3MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	408	11	419
Fresh	2	8	10
Picked	3	2	5
Done	0	3	3
Total	413	24	437

Accuracy

100.0%

Counts

437 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
	92.1%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (.f64 (.f64 y y) #s(literal 1/5040 binary64))) 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 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	92.3%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.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))))
✓	79.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
▶	88.2%	(.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))))
▶	32.1%	(.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)))))
✓	50.6%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	48.7%	(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
	62.3%	(.f64 #s(approx (sin x) (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)) #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))))
	61.0%	(.f64 #s(approx (sin x) (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)) #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))))
	62.1%	(.f64 #s(approx (sin x) (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)) #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))))
	55.3%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	55.3%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
	39.5%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	60.1%	(.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))))
▶	61.5%	(.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 #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))))
	54.7%	(.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))))
	54.7%	(.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 #s(literal 1/6 binary64) 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)))
	12.2%	(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) -1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

Compiler

Compiled 1 074 to 745 computations (30.6% saved)

simplify369.0ms (6.5%)

Memory

-1.2MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
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) (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	(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	#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 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	0	(fma.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))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.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)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	471
0	85	460
1	150	460
2	233	460
3	367	460
4	592	460
5	746	460
6	951	460
7	1359	460
8	1976	460
9	2604	460
10	2934	460
11	3136	460
12	4444	460
13	5844	460
14	6569	460
15	6817	460
16	6923	460
17	6967	460
18	7136	460
19	7588	460
20	7636	460
21	7642	460
22	7642	460
23	7642	460
24	7828	460
25	7955	460
0	8394	453

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

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

localize105.0ms (1.8%)

Memory

7.6MiB live, 45.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 #s(literal 1/5040 binary64) (.f64 y y))
accuracy	4.870215919997141	#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	30.766831493833855	#s(approx (+ (* 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y)))
accuracy	31.603221293376585	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy	0.04296875	(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	0.13671875	(.f64 (.f64 y y) #s(literal 1/120 binary64))
accuracy	7.265922968602024	#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	30.75970599448285	#s(approx (+ (* (* y y) 1/120) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
accuracy	0.00390625	(.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	0.1875	(.f64 (.f64 y y) #s(literal 1/6 binary64))
accuracy	13.338481364641947	#s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
accuracy	30.73650608956442	#s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
accuracy	0.0546875	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
accuracy	0.2109375	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	31.441444274416185	#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy	31.603221293376585	#s(approx (sin x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
accuracy	0.03515625	(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))
accuracy	0.0703125	(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
accuracy	0.1875	(.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)
accuracy	4.870215919997141	#s(approx (/ (sinh y) y) (fma.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)))

Samples

75.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 738 to 97 computations (86.9% saved)

Precisions

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

ival-mult: 22.0ms (39.4% of total)

ival-add: 11.0ms (19.7% of total)

const: 10.0ms (17.9% of total)

ival-sin: 6.0ms (10.7% of total)

ival-pow: 3.0ms (5.4% of total)

ival-div: 2.0ms (3.6% of total)

ival-sinh: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

2.3MiB live, 9.6MiB allocated

Counts

29 → 52

Calls

Call 1

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

Calls

6 calls:

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

simplify136.0ms (2.4%)

Memory

-0.2MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	601
1	456	584
2	1328	541
3	3918	532
4	6922	532
0	8268	488

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 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))))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 3)
(* 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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(+ (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)))))))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 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 (pow y 2))
(* 1/120 (pow y 2))
(* 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))))))
(* (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 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 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)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))

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

rewrite145.0ms (2.5%)

Memory

-4.1MiB live, 52.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	388
0	85	379
1	291	379
2	1627	379
0	8319	372

Stop Event

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

Counts

29 → 356

Calls

Call 1

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

Outputs
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (.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)) y) y #s(literal 1 binary64))) (sin.f64 x))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.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)) y) y #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (.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)) y) y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y))))
(.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.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)) #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 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.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 (.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)) y) y))))))
(.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.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)) #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 (.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)) y) y) #s(literal 2 binary64)) (.f64 (.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)) y) y)))))
(.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.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)) y) y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.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)) y) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)) (fma.f64 (.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)) y) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)) (fma.f64 (.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)) y) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)) (fma.f64 (.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)) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)) (fma.f64 (.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)) y) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.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)) y) y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)))) (fma.f64 (.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)) y) y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.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)) y) y) #s(literal 3 binary64)))) (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)) (fma.f64 (.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)) y) y #s(literal -1 binary64))) (.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64)) (fma.f64 (.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)) y) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y)))
(/.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.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)) y) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.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)) y) y) #s(literal 2 binary64)) (.f64 (.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)) y) y)))))
(/.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.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)) y) y)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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 (*.f64 y y) #s(literal 1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(.f64 y (.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/6 binary64) y))
#s(approx (+ (* (* y y) 1/120) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))
(.f64 (.f64 #s(literal 1/120 binary64) y) y)
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(.f64 y (.f64 #s(literal 1/120 binary64) y))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (.f64 (.f64 #s(literal 1/5040 binary64) y) y))
#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 1/5040 binary64) y) y)
(.f64 #s(literal 1/5040 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1/5040 binary64))
(.f64 y (.f64 #s(literal 1/5040 binary64) y))

eval45.0ms (0.8%)

Memory: 5.5MiB live, 36.3MiB allocated
Compiler: Compiled 15 560 to 1 915 computations (87.7% saved)

prune34.0ms (0.6%)

Memory

-4.7MiB live, 24.0MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	362	6	368
Fresh	7	7	14
Picked	3	2	5
Done	1	4	5
Total	373	19	392

Accuracy

100.0%

Counts

392 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	79.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
✓	32.1%	(.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)))))
	32.1%	(.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))))
✓	50.6%	(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	48.7%	(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
	62.3%	(.f64 #s(approx (sin x) (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)) #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))))
	62.1%	(.f64 #s(approx (sin x) (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)) #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))))
	55.3%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
	60.8%	(.f64 #s(approx (sin x) (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)) #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))))
	31.6%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
	39.5%	(.f64 #s(approx (sin x) (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)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
	61.5%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) 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))))
	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)))
	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)))
	61.5%	(.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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))))

Compiler

Compiled 1 434 to 468 computations (67.4% saved)

regimes48.0ms (0.8%)

Memory

-0.6MiB live, 23.1MiB allocated

Counts

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

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

Calls

5 calls:

10.0ms	x
10.0ms	(sin.f64 x)
10.0ms	y
9.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms	(/.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)

regimes46.0ms (0.8%)

Memory

-0.1MiB live, 22.4MiB allocated

Counts

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

(*.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

5 calls:

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

Results

Accuracy	Segments	Branch
92.3%	1	`x`
96.1%	3	`y`
94.5%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
92.3%	1	`(sin.f64 x)`
92.3%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes29.0ms (0.5%)

Memory

-1.3MiB live, 15.7MiB 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) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) 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) #s(literal 1 binary64)))
(.f64 #s(approx (sin x) #s(approx (+ ( (pow x 3) -1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(.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) (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)) #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 (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 (fma.f64 (.f64 #s(literal 1/120 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 (.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 (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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #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 (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 (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
88.5%	1	`(sin.f64 x)`
88.5%	1	`x`
88.5%	1	`(/.f64 (sinh.f64 y) y)`
91.4%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
94.6%	3	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
94.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

-1.6MiB live, 6.1MiB allocated

Counts

16 → 4

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.1%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
94.1%	4	`y`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

-4.8MiB live, 3.1MiB allocated

Counts

12 → 4

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
94.0%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.3%)

Memory

0.7MiB live, 9.4MiB allocated

Counts

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.5%	2	`x`
74.6%	2	`(sin.f64 x)`
85.5%	2	`(/.f64 (sinh.f64 y) y)`
90.6%	3	`y`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

regimes9.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

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

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

3 calls:

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

Results

Accuracy	Segments	Branch
85.5%	2	`(/.f64 (sinh.f64 y) y)`
85.4%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
85.5%	2	`y`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-6.7MiB live, 9.1MiB allocated

Counts

6 → 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) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) 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))))

Outputs

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

5 calls:

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

Results

Accuracy	Segments	Branch
61.5%	1	`x`
61.5%	1	`(sin.f64 x)`
61.5%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
61.5%	1	`y`
61.5%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.2%)

Memory

0.5MiB live, 8.4MiB 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

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch24.0ms (0.4%)

Memory

-2.1MiB live, 6.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.153432380426584e+50	2.0304060612107088e+51
13.0ms	1.199779155904044e-5	0.1443798453280793

Samples

14.0ms

224×

valid

Compiler

Compiled 462 to 359 computations (22.3% saved)

Precisions

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

ival-sin: 5.0ms (54.2% of total)

ival-sinh: 2.0ms (21.7% of total)

ival-div: 1.0ms (10.8% of total)

ival-mult: 1.0ms (10.8% of total)

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

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

bsearch12.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.483681547109462e+75	2.8890836030907296e+77
1.0ms	1.199779155904044e-5	0.1443798453280793

Samples

6.0ms

112×

valid

Compiler

Compiled 420 to 347 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 2.0ms (49.2% of total)

ival-div: 1.0ms (24.6% of total)

ival-mult: 1.0ms (24.6% of total)

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

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

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

bsearch2.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.483681547109462e+75	2.8890836030907296e+77
1.0ms	1.199779155904044e-5	0.1443798453280793

Compiler

Compiled 469 to 375 computations (20% saved)

bsearch29.0ms (0.5%)

Memory

1.3MiB live, 9.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.068087133608263e+146	7.112132701889179e+160
11.0ms	2.4309402316958886e+71	1.012754310585094e+73
1.0ms	1.199779155904044e-5	0.1443798453280793

Samples

15.0ms

272×

valid

Compiler

Compiled 1 177 to 854 computations (27.4% saved)

Precisions

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

ival-sin: 5.0ms (50.5% of total)

ival-div: 2.0ms (20.2% of total)

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

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

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

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

bsearch13.0ms (0.2%)

Memory

-3.3MiB live, 4.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.068087133608263e+146	7.112132701889179e+160
1.0ms	2.4309402316958886e+71	1.012754310585094e+73
10.0ms	1.199779155904044e-5	0.1443798453280793

Samples

6.0ms

96×

valid

Compiler

Compiled 1 137 to 830 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 2.0ms (49.3% of total)

ival-div: 1.0ms (24.7% of total)

ival-mult: 1.0ms (24.7% of total)

ival-sinh: 1.0ms (24.7% of total)

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

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

bsearch9.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.068087133608263e+146	7.112132701889179e+160
7.0ms	1.199779155904044e-5	0.1443798453280793

Samples

4.0ms

64×

valid

Compiler

Compiled 1 012 to 721 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sin: 1.0ms (36.7% of total)

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

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

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

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

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.199779155904044e-5	0.1443798453280793

Compiler

Compiled 402 to 291 computations (27.6% saved)

simplify23.0ms (0.4%)

Memory

-4.9MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	562
1	107	562

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 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 1999999999999999986441897348723255952923416883888128 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (.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 y #s(literal 8070450532247929/144115188075855872 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 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 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 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 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))))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 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 320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)))))))
(if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)))))))
(if (<=.f64 y #s(literal 7148113328562451/2305843009213693952 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))))
(if (<=.f64 y #s(literal 7148113328562451/2305843009213693952 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (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))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 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 1999999999999999986441897348723255952923416883888128 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (.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 y #s(literal 8070450532247929/144115188075855872 binary64)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (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)) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 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 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 binary64)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 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 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 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))))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 binary64)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (.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))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 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 320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)))))))
(if (<=.f64 y #s(literal 8070450532247929/144115188075855872 binary64)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (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)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))) (sin.f64 x)))))
(if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)))))))
(if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (/ (sinh y) y) #s(literal 1 binary64)) (sin.f64 x)) (if (<=.f64 y #s(literal 320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) (.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (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)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))) (sin.f64 x)))))
(if (<=.f64 y #s(literal 7148113328562451/2305843009213693952 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))))
(if (<=.f64 y #s(literal 7148113328562451/2305843009213693952 binary64)) (.f64 #s(approx (/ (sinh y) y) #s(literal 1 binary64)) (sin.f64 x)) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (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)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))) (sin.f64 x))))
(if (<=.f64 y #s(literal 7148113328562451/2305843009213693952 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 y #s(literal 7148113328562451/2305843009213693952 binary64)) (.f64 #s(approx (/ (sinh y) y) #s(literal 1 binary64)) (sin.f64 x)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (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)) (.f64 y y) #s(literal 1 binary64)))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (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)) (.f64 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)))

soundness1.2s (21.3%)

Memory

0.6MiB live, 16.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	304
0	72	300
1	250	300
2	1521	300
0	8396	300
0	27	191
0	48	191
1	170	191
2	1100	191
0	8389	191
0	133	520
1	410	503
2	1187	461
3	3577	453
4	6261	453
0	8273	412
0	6	15
0	10	15
1	26	15
2	121	15
3	870	15
0	8384	15
0	51	388
0	85	379
1	291	379
2	1627	379
0	8319	372
0	146	612
1	472	605
2	1346	543
3	4493	533
4	7401	533
0	8029	483
0	92	363
1	288	356
2	898	306
3	3148	298
4	7374	298
0	8537	268

Stop Event

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

Compiler

Compiled 1 415 to 713 computations (49.6% saved)

preprocess68.0ms (1.2%)

Memory

5.2MiB live, 43.6MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 1 222 to 266 computations (78.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample674.0ms (11.8%)

explain63.0ms (1.1%)

preprocess372.0ms (6.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify308.0ms (5.4%)

localize34.0ms (0.6%)

series11.0ms (0.2%)

simplify139.0ms (2.4%)

rewrite131.0ms (2.3%)

eval64.0ms (1.1%)

prune11.0ms (0.2%)

simplify137.0ms (2.4%)

localize73.0ms (1.3%)

series12.0ms (0.2%)

simplify149.0ms (2.6%)

rewrite138.0ms (2.4%)

eval81.0ms (1.4%)

prune19.0ms (0.3%)

simplify350.0ms (6.1%)

localize98.0ms (1.7%)

series28.0ms (0.5%)

simplify143.0ms (2.5%)

rewrite137.0ms (2.4%)

eval62.0ms (1.1%)

prune23.0ms (0.4%)

simplify369.0ms (6.5%)

localize105.0ms (1.8%)

series14.0ms (0.2%)

simplify136.0ms (2.4%)

rewrite145.0ms (2.5%)

eval45.0ms (0.8%)

prune34.0ms (0.6%)

regimes48.0ms (0.8%)

regimes46.0ms (0.8%)

regimes29.0ms (0.5%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes12.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch24.0ms (0.4%)

bsearch12.0ms (0.2%)

bsearch2.0ms (0%)

bsearch29.0ms (0.5%)

bsearch13.0ms (0.2%)

bsearch9.0ms (0.2%)

bsearch1.0ms (0%)

simplify23.0ms (0.4%)

soundness1.2s (21.3%)

preprocess68.0ms (1.2%)

end0.0ms (0%)

Profiling