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

analyze18.0ms (0.3%)

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 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.8% of total)

ival-div: 2.0ms (23.9% of total)

ival-cos: 2.0ms (23.9% of total)

ival-sinh: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (17.6%)

Results

825.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 574.0ms

ival-cos: 222.0ms (38.7% of total)

ival-sinh: 211.0ms (36.7% of total)

ival-div: 68.0ms (11.8% of total)

ival-mult: 62.0ms (10.8% of total)

const: 8.0ms (1.4% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess167.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

919×	`fma-define`
640×	`div-sub`
532×	`fma-neg`
324×	`associate-/r*`
278×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	218
1	67	218
2	170	218
3	547	218
4	1851	218
5	4596	218
6	6978	218

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(neg.f64 (*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (neg.f64 (sinh.f64 y)) y))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Symmetry

(abs x)

(abs y)

explain90.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

70.0ms

512×

valid

Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 22.0ms (43.3% of total)

ival-cos: 21.0ms (41.4% of total)

ival-div: 4.0ms (7.9% of total)

ival-sinh: 3.0ms (5.9% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify450.0ms (6.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1247×	`fma-define`
960×	`fma-neg`
527×	`div-sub`
418×	`distribute-lft-in`
394×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	21	71
2	38	71
3	79	71
4	161	71
5	322	71
6	812	71
7	2044	71
8	3963	71
9	5465	71
10	5956	71
11	6034	71
12	6037	71
13	6039	71
14	6963	71
15	7183	71
16	7303	71
17	7437	71
18	7637	71
19	7741	71
20	7757	71
21	7813	71
22	7845	71
23	7845	71
24	7983	71

Stop Event

1×	node limit

Calls

Call 1

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

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

localize31.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

23.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 6.0ms (44.8% of total)

ival-mult: 4.0ms (29.9% of total)

ival-div: 2.0ms (14.9% of total)

ival-sinh: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts

4 → 52

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))>
#<alt (+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/120 binary64) (cos.f64 x)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>

Calls

15 calls:

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

rewrite238.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log1p-expm1-u`
669×	`expm1-log1p-u`
611×	`unpow-prod-down`
363×	`log-prod`
227×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	135	63
2	1767	63

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1 binary64))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(*.f64 (/.f64 (sinh.f64 y) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) y))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 #s(literal 1 binary64))) (.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 #s(literal 1 binary64))))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sinh.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

346×	`prod-exp`
324×	`associate-r`
283×	`associate-l`
271×	`unswap-sqr`
224×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	536	6973
1	1079	6748
2	3871	6516

Stop Event

1×	node limit

Counts

235 → 293

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))
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(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) y))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 #s(literal 1 binary64))) (.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 #s(literal 1 binary64))))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sinh.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) #s(literal 1/48 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/4 binary64) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/48 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/48 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/1440 binary64))))))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
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(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
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(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 8 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 y) (sinh.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (sinh.f64 y))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (sinh.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (cbrt.f64 (sinh.f64 y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))) #s(literal -2 binary64))
(.f64 (pow.f64 (/.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)))
(/.f64 (sinh.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1/3 binary64)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (sinh.f64 y) y)
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(sinh.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(sinh.f64 y)
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 #s(literal 1 binary64))) (.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 #s(literal 1 binary64))))
(-.f64 (.f64 (sinh.f64 (+.f64 y #s(literal 1 binary64))) (cosh.f64 #s(literal 1 binary64))) (.f64 (cosh.f64 (+.f64 y #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64))))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(sinh.f64 y)
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sinh.f64 y)
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(sinh.f64 y)
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sinh.f64 y))
(sinh.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(sinh.f64 y)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 8 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(sinh.f64 y)
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 3 binary64))
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(sinh.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sinh.f64 y))))
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(sinh.f64 y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sinh.f64 y))) #s(literal 1/3 binary64)))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) #s(literal 2 binary64)))
(sinh.f64 y)
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sinh.f64 y)

eval37.0ms (0.5%)

Compiler: Compiled 4479 to 1046 computations (76.6% saved)

prune97.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	290	4	294

Accuracy

100.0%

Counts

294 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	69.9%	(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
▶	49.2%	(cos.f64 x)

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 (cos.f64 x) (sinh.f64 y))
✓	cost-diff	0	(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
	cost-diff	0	(sinh.f64 y)
	cost-diff	0	(/.f64 (sinh.f64 y) y)
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
	cost-diff	0	(cos.f64 x)

Rules

574×	`fma-define`
540×	`div-sub`
421×	`unsub-neg`
416×	`times-frac`
378×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	171
1	35	171
2	68	165
3	171	165
4	395	165
5	1010	165
6	2212	165
7	4354	165
8	6354	165

Stop Event

1×	node limit

Calls

Call 1

Inputs
(cos.f64 x)
x
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
#s(literal 1 binary64)
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
y
(*.f64 (cos.f64 x) (sinh.f64 y))
(cos.f64 x)
x
(sinh.f64 y)

Outputs
(cos.f64 x)
x
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
#s(literal 1 binary64)
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
y
(*.f64 (cos.f64 x) (sinh.f64 y))
(cos.f64 x)
x
(sinh.f64 y)

localize178.0ms (2.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
✓	accuracy	99.9%	(*.f64 (cos.f64 x) (sinh.f64 y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
	accuracy	100.0%	(sinh.f64 y)
	accuracy	100.0%	(/.f64 (sinh.f64 y) y)
	accuracy	100.0%	(cos.f64 x)

Results

143.0ms	132×	5	exit
17.0ms	124×	0	valid

Compiler

Compiled 48 to 11 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

backward-pass: 78.0ms (74.3% of total)

ival-cos: 11.0ms (10.5% of total)

ival-div: 7.0ms (6.7% of total)

ival-mult: 6.0ms (5.7% of total)

ival-sinh: 2.0ms (1.9% of total)

const: 1.0ms (1% of total)

series14.0ms (0.2%)

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))>
#<alt (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))>
#<alt (*.f64 (cos.f64 x) (sinh.f64 y))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))>
#<alt (+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/120 binary64) (cos.f64 x)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 7/360 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/15120 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (.f64 #s(literal 1/12 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))))) (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/360 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (.f64 #s(literal 1/12 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (.f64 #s(literal 1/12 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))))) (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (.f64 #s(literal 2 binary64) (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (.f64 y (+.f64 (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x)))))>
#<alt (.f64 y (+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))>
#<alt (.f64 y (+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>

Calls

21 calls:

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

rewrite115.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`log1p-expm1-u`
963×	`expm1-log1p-u`
551×	`log-prod`
164×	`expm1-undefine`
164×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	212	98
2	2666	98

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

Inputs
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (cos.f64 x) (sinh.f64 y))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) y))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))) (cbrt.f64 (exp.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (sinh.f64 y) (cos.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (cbrt.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) #s(literal 1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (sinh.f64 y) (cos.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)) (sinh.f64 y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) (sinh.f64 y))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (neg.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) y)
(*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 y (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 y (sinh.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sinh.f64 y)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 y) (cos.f64 x)) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 (/.f64 y (cos.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)))

simplify151.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

530×	`distribute-lft-neg-out`
308×	`cube-prod`
289×	`associate-r`
277×	`exp-prod`
276×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	484	10924
1	1167	9160
2	4454	9135

Stop Event

1×	node limit

Counts

244 → 274

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
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(.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (sinh.f64 y) (cos.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (cbrt.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) #s(literal 1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (sinh.f64 y) (cos.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)) (sinh.f64 y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) (sinh.f64 y))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (neg.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) y)
(*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 y (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 y (sinh.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sinh.f64 y)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 y) (cos.f64 x)) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 (/.f64 y (cos.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/5040 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(cos.f64 x)
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(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (neg.f64 (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 y) (cos.f64 x))) y)
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 y (cos.f64 x)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 y (sinh.f64 y)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))) (/.f64 y (sqrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 y (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))) (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sinh.f64 y)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) (sinh.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))) (/.f64 y (sqrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 y (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))) (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) (cos.f64 x)) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (/.f64 (/.f64 y (cos.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 3 binary64))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 y) (cos.f64 x)))
(*.f64 (cos.f64 x) (sinh.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (.f64 (cos.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (cos.f64 x)) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (sinh.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) (sinh.f64 y))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))
(*.f64 (cos.f64 x) (sinh.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (sinh.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 y) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (sinh.f64 y))

eval143.0ms (2.1%)

Compiler: Compiled 9539 to 1953 computations (79.5% saved)

prune147.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	610	5	615
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	611	8	619

Accuracy

100.0%

Counts

619 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(/.f64 (sinh.f64 y) y)
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
▶	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
▶	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	34.5%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	49.2%	(cos.f64 x)
▶	31.8%	#s(literal 1 binary64)

Compiler

Compiled 96 to 73 computations (24% saved)

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 (cos.f64 x) y)
✓	cost-diff	128	(/.f64 y (*.f64 (cos.f64 x) y))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
	cost-diff	0	(sinh.f64 y)
	cost-diff	0	(/.f64 (sinh.f64 y) y)

Rules

1307×	`fma-define`
1264×	`fma-neg`
883×	`div-sub`
329×	`associate-/l/`
282×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	176
1	42	172
2	82	172
3	140	172
4	322	172
5	964	172
6	1663	172
7	2223	172
8	4377	172
9	6688	172
10	7205	172
11	7899	172

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
#s(literal 1 binary64)
(/.f64 y (*.f64 (cos.f64 x) y))
y
(*.f64 (cos.f64 x) y)
(cos.f64 x)
x

Outputs
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(cos.f64 x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
(cos.f64 x)
#s(literal 1 binary64)
(/.f64 y (*.f64 (cos.f64 x) y))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
y
(*.f64 (cos.f64 x) y)
(*.f64 y (cos.f64 x))
(cos.f64 x)
x

localize350.0ms (5.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 y (*.f64 (cos.f64 x) y))
✓	accuracy	99.8%	(*.f64 (cos.f64 x) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
	accuracy	100.0%	(sinh.f64 y)
	accuracy	100.0%	(/.f64 (sinh.f64 y) y)

Results

50.0ms

256×

valid

Compiler

Compiled 67 to 17 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 9.0ms (35% of total)

ival-cos: 6.0ms (23.4% of total)

ival-mult: 4.0ms (15.6% of total)

ival-sinh: 3.0ms (11.7% of total)

ival-pow: 3.0ms (11.7% of total)

ival-add: 1.0ms (3.9% of total)

const: 1.0ms (3.9% of total)

backward-pass: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts

8 → 112

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))>
#<alt (/.f64 y (*.f64 (cos.f64 x) y))>
#<alt (*.f64 (cos.f64 x) y)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt y>
#<alt (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 1/24 binary64) y))))))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>
#<alt (*.f64 y (cos.f64 x))>

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* (cos x) y)
1.0ms	x	@	0	(* (pow x 2) -1/2)
0.0ms	x	@	-inf	(/ 1 (cos x))
0.0ms	x	@	inf	(/ 1 (cos x))
0.0ms	x	@	0	(* (cos x) y)

rewrite177.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u`
760×	`expm1-log1p-u`
645×	`log-prod`
308×	`prod-diff`
260×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	145
1	272	135
2	3414	135

Stop Event

1×	node limit

Counts

8 → 275

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
(/.f64 y (*.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) y)

Outputs
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal -1 binary64)))
(pow.f64 (cos.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
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(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 y y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cos.f64 x) y))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (/.f64 y y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (/.f64 y y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y)))) (cbrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (cos.f64 x) y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 (cos.f64 x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 y y))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
(*.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 (cos.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) (sqrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 (cos.f64 x) y)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x))))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)) y)
(*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 (cos.f64 x) y)))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 y) (cos.f64 x)) (/.f64 (sqrt.f64 y) y))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 (cos.f64 x) y))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (cos.f64 x) y))) (/.f64 y (sqrt.f64 (*.f64 (cos.f64 x) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 (cos.f64 x) y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (cos.f64 x) y))))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (cos.f64 x) y))))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (*.f64 (cos.f64 x) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 (cos.f64 x) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (cos.f64 x) y))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (cos.f64 x) (neg.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) y))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y))) (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) y))) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) y)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) y)) #s(literal 1 binary64)))

simplify190.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

429×	`exp-prod`
425×	`cube-prod`
349×	`associate-r`
314×	`swap-sqr`
295×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	7313
1	1222	7046
2	4856	7018

Stop Event

1×	node limit

Counts

387 → 345

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
y
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 1/24 binary64) y))))))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(*.f64 y (cos.f64 x))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
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(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) y)) y))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) y)) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) y)) (sqrt.f64 y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (cos.f64 x) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) (cos.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 x) y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (.f64 (cos.f64 x) y))) (sqrt.f64 (.f64 (cos.f64 x) y)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 y y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 y y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cos.f64 x) y))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (/.f64 y y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 y y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (/.f64 y y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y)))) (cbrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (cos.f64 x) y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (cos.f64 x) y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 (cos.f64 x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 y y))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
(*.f64 y (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 (cos.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) (sqrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 (cos.f64 x) y)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x))))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)) y)
(*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 (cos.f64 x) y)))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 y) (cos.f64 x)) (/.f64 (sqrt.f64 y) y))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 (cos.f64 x) y))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (cos.f64 x) y))) (/.f64 y (sqrt.f64 (*.f64 (cos.f64 x) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 (cos.f64 x) y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (cos.f64 x) y))))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (cos.f64 x) y))))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (*.f64 (cos.f64 x) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 (cos.f64 x) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (cos.f64 x) y))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (cos.f64 x) (neg.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) y))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y))) (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) y))) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) y)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) y)) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 61/720 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 61/720 binary64) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(.f64 (cbrt.f64 (/.f64 y (.f64 (cos.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 (cos.f64 x) y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (cos.f64 x) y))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (cos.f64 x) y))) (/.f64 y (sqrt.f64 (*.f64 (cos.f64 x) y))))
(/.f64 (/.f64 y (sqrt.f64 (.f64 (cos.f64 x) y))) (sqrt.f64 (.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (cos.f64 x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (/.f64 y (*.f64 (cos.f64 x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (exp.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 (cos.f64 x) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (cos.f64 x) y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (*.f64 (cos.f64 x) (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) y)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) y)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y))) (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 x) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) y)
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) y)
(pow.f64 (*.f64 (cos.f64 x) y) #s(literal 1 binary64))
(*.f64 (cos.f64 x) y)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) #s(literal 3 binary64))
(*.f64 (cos.f64 x) y)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) y)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) y)) #s(literal 2 binary64))
(*.f64 (cos.f64 x) y)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) y)
(log.f64 (exp.f64 (*.f64 (cos.f64 x) y)))
(*.f64 (cos.f64 x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) y))))
(*.f64 (cos.f64 x) y)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) y)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (cos.f64 x) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (cos.f64 x) y)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) y)))
(*.f64 (cos.f64 x) y)
(exp.f64 (log.f64 (*.f64 (cos.f64 x) y)))
(*.f64 (cos.f64 x) y)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) y)

eval78.0ms (1.1%)

Compiler: Compiled 7834 to 1789 computations (77.2% saved)

prune95.0ms (1.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	622	4	626
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	624	10	634

Accuracy

100.0%

Counts

634 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 (sinh.f64 y) y)
▶	38.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
✓	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
▶	34.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
▶	34.5%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
▶	49.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	49.2%	(cos.f64 x)
✓	31.8%	#s(literal 1 binary64)

Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify130.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-5888	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓	cost-diff	-6272	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	-6016	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	-12608	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
✓	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 (.f64 x x) #s(literal -1/2 binary64))
	cost-diff	-256	(cos.f64 x)
✓	cost-diff	0	(/.f64 y (cos.f64 x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))
✓	cost-diff	384	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)

Rules

1715×	`fma-define`
858×	`associate-*r/`
802×	`distribute-lft-in`
784×	`distribute-rgt-in`
512×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	421
1	51	378
2	106	336
3	270	336
4	710	336
5	1857	336
6	2050	336
7	2598	336
8	3926	336
9	3935	336
10	3935	336
11	5736	336
12	5953	336
13	6147	336
14	7386	336

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))
#s(literal 1 binary64)
(/.f64 y (cos.f64 x))
y
(cos.f64 x)
x
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(literal 1 binary64)
(/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
y
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
(*.f64 (/.f64 y y) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (cos.f64 x) y)
#s(literal 1 binary64)
(/.f64 y (cos.f64 x))
y
(cos.f64 x)
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
(*.f64 (/.f64 y y) (cos.f64 x))
x
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
y
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))
(.f64 #s(literal -1/2 binary64) (.f64 y (pow.f64 x #s(literal 2 binary64))))
(.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize406.0ms (5.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
✓	accuracy	90.4%	(/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
✓	accuracy	89.5%	(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 y (cos.f64 x))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))

Results

375.0ms

256×

valid

Compiler

Compiled 136 to 23 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 14.0ms (35.4% of total)

ival-div: 11.0ms (27.8% of total)

ival-cos: 6.0ms (15.2% of total)

ival-add: 4.0ms (10.1% of total)

ival-pow: 4.0ms (10.1% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series27.0ms (0.4%)

Counts

12 → 160

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))>
#<alt (/.f64 y (cos.f64 x))>
#<alt (.f64 (.f64 x x) #s(literal -1/2 binary64))>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))>

Outputs
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (cos.f64 x)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) y)>
#<alt y>
#<alt (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 #s(literal 1/24 binary64) y)))) (.f64 #s(literal -1/2 binary64) y))))>
#<alt (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) y) (+.f64 (.f64 #s(literal 1/48 binary64) y) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 #s(literal 1/24 binary64) y))))))) (+.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 #s(literal 1/24 binary64) y)))) (.f64 #s(literal -1/2 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ y (+ y (* -1/2 (* (pow x 2) y))))
2.0ms	y	@	inf	(/ y (cos x))
1.0ms	y	@	0	(* -1/2 (* (pow x 2) y))
1.0ms	y	@	-inf	(/ 1 (/ y (+ y (* -1/2 (* (pow x 2) y)))))
1.0ms	y	@	inf	(/ 1 (/ y (+ y (* -1/2 (* (pow x 2) y)))))

rewrite214.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`log1p-expm1-u`
536×	`expm1-log1p-u`
168×	`add-cube-cbrt`
166×	`add-exp-log`
166×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	300
1	439	262
2	5478	262

Stop Event

1×	node limit

Counts

12 → 360

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (cos.f64 x) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (cos.f64 x)) y))
(/.f64 y (/.f64 y (cos.f64 x)))
(/.f64 (neg.f64 y) (/.f64 y (neg.f64 (cos.f64 x))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 y (cos.f64 x)))) (sqrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y (cos.f64 x)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 y (neg.f64 (cos.f64 x))))
(/.f64 (/.f64 y y) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (cos.f64 x))))
(pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (cos.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (cos.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (cos.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (cos.f64 x) y))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 (cos.f64 x) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (cos.f64 x) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (cos.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (cos.f64 x)))
(pow.f64 (/.f64 y (cos.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (cos.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (cos.f64 x)) (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))
(*.f64 y (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) (sqrt.f64 (/.f64 y (cos.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 y (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (cos.f64 x))))
(pow.f64 (/.f64 y (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))
(neg.f64 (/.f64 y (neg.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (cos.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 y (cos.f64 x))))
(exp.f64 (log.f64 (/.f64 y (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)))
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(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
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(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 y (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
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(pow.f64 (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
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(pow.f64 (sqrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
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(cbrt.f64 (pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))

simplify257.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

370×	`exp-prod`
314×	`cube-prod`
305×	`associate-r`
286×	`associate-l`
235×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	12478
1	1622	11974
2	5287	11846

Stop Event

1×	node limit

Counts

520 → 432

Calls

Call 1

Inputs
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
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(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 y (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 y (+.f64 (.f64 (pow.f64 (.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 (.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) y))))
(.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(neg.f64 (/.f64 y (neg.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))

Outputs
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64)) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) y))
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(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 y (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (/.f64 y (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (/.f64 y (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 y (+.f64 (.f64 (pow.f64 (.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 (.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) y))))
(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (neg.f64 y))))))
(.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))))))
(.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y (+.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))))) y) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (neg.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))

eval324.0ms (4.7%)

Compiler: Compiled 9467 to 2187 computations (76.9% saved)

prune154.0ms (2.2%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	611	5	616
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	614	12	626

Accuracy

100.0%

Counts

626 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 (sinh.f64 y) y)
	49.1%	(/.f64 y (/.f64 y (cos.f64 x)))
	38.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
✓	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
	34.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
✓	34.5%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
	34.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) y)
	31.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	49.2%	(cos.f64 x)
✓	31.8%	#s(literal 1 binary64)

Compiler

Compiled 249 to 125 computations (49.8% saved)

regimes30.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 y (/.f64 y (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))

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

Calls

5 calls:

7.0ms	x
6.0ms	(cos.f64 x)
6.0ms	y
5.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes21.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 y (/.f64 y (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))

Outputs
(cos.f64 x)
(/.f64 (sinh.f64 y) y)

Calls

4 calls:

6.0ms	y
5.0ms	x
5.0ms	(cos.f64 x)
4.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
71.6%	2	`x`
87.0%	2	`y`
81.3%	3	`(cos.f64 x)`
87.0%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes74.0ms (1.1%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))
(cos.f64 x)

Outputs
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`(cos.f64 x)`
57.4%	2	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
38.9%	1	`x`
38.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
34.5%	1	`x`
34.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
31.8%	1	`x`
31.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.014304351629646	+inf

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1441.7671074073837	24526703383.17853

Results

13.0ms

144×

valid

Compiler

Compiled 203 to 145 computations (28.6% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	230
1	42	230

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 7600000 binary64)) (cos.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(literal 1 binary64)

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) #s(literal 2 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 7600000 binary64)) (cos.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y))))))
(if (<=.f64 y #s(literal 7600000 binary64)) (cos.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 x x))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(literal 1 binary64)

soundness831.0ms (12%)

Rules

963×	`log1p-expm1-u`
963×	`expm1-log1p-u`
760×	`log1p-expm1-u`
760×	`expm1-log1p-u`
669×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	145
1	272	135
2	3414	135
0	536	6973
1	1079	6748
2	3871	6516
0	12	63
1	135	63
2	1767	63
0	484	10924
1	1167	9160
2	4454	9135
0	16	104
1	212	98
2	2666	98

Stop Event

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

Compiler

Compiled 192 to 81 computations (57.8% saved)

preprocess50.0ms (0.7%)

Remove

(abs y)

(abs x)

Compiler

Compiled 322 to 176 computations (45.3% saved)

analyze18.0ms (0.3%)

sample1.2s (17.6%)

preprocess167.0ms (2.4%)

explain90.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify450.0ms (6.5%)

localize31.0ms (0.5%)

series19.0ms (0.3%)

rewrite238.0ms (3.5%)

simplify121.0ms (1.7%)

eval37.0ms (0.5%)

prune97.0ms (1.4%)

simplify83.0ms (1.2%)

localize178.0ms (2.6%)

series14.0ms (0.2%)

rewrite115.0ms (1.7%)

simplify151.0ms (2.2%)

eval143.0ms (2.1%)

prune147.0ms (2.1%)

simplify122.0ms (1.8%)

localize350.0ms (5.1%)

series16.0ms (0.2%)

rewrite177.0ms (2.6%)

simplify190.0ms (2.8%)

eval78.0ms (1.1%)

prune95.0ms (1.4%)

simplify130.0ms (1.9%)

localize406.0ms (5.9%)

series27.0ms (0.4%)

rewrite214.0ms (3.1%)

simplify257.0ms (3.7%)

eval324.0ms (4.7%)

prune154.0ms (2.2%)

regimes30.0ms (0.4%)

regimes21.0ms (0.3%)

regimes74.0ms (1.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch19.0ms (0.3%)

simplify3.0ms (0%)

soundness831.0ms (12%)

preprocess50.0ms (0.7%)

end0.0ms (0%)

Profiling