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

analyze20.0ms (0.5%)

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: 9.0ms

Operation ival-cos, time spent: 3.0ms, 35.0% of total-time

Operation ival-mult, time spent: 3.0ms, 35.0% of total-time

Operation ival-div, time spent: 1.0ms, 12.0% of total-time

Operation ival-sinh, time spent: 1.0ms, 12.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (32.3%)

Results

549.0ms	4150×	256	valid
550.0ms	4106×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 521.0ms

Operation ival-cos, time spent: 238.0ms, 46.0% of total-time

Operation ival-div, time spent: 144.0ms, 28.0% of total-time

Operation ival-sinh, time spent: 67.0ms, 13.0% of total-time

Operation ival-mult, time spent: 62.0ms, 12.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

Bogosity

preprocess265.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

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

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)`

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)

Results

35.0ms	258×	256	infinite
32.0ms	254×	256	valid

Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

Operation ival-cos, time spent: 20.0ms, 59.0% of total-time

Operation ival-div, time spent: 6.0ms, 18.0% of total-time

Operation ival-mult, time spent: 4.0ms, 12.0% of total-time

Operation ival-sinh, time spent: 3.0ms, 9.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

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)

localize44.0ms (1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	100.0%	(sinh.f64 y)

Results

17.0ms	129×	256	infinite
17.0ms	127×	256	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-cos, time spent: 9.0ms, 56.0% of total-time

Operation ival-sinh, time spent: 3.0ms, 19.0% of total-time

Operation ival-div, time spent: 2.0ms, 12.0% of total-time

Operation ival-mult, time spent: 2.0ms, 12.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series14.0ms (0.3%)

Counts

2 → 36

Calls

Call 1

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

Outputs
#<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))))>
#<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))>

Calls

9 calls:

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

rewrite260.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	135	38
2	1767	38

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

877×	`times-frac`
853×	`fma-define`
398×	`associate-*r/`
331×	`distribute-lft-in`
327×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3556
1	575	3476
2	1901	3237

Stop Event

1×	node limit

Counts

107 → 130

Calls

Call 1

Inputs
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.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)))))))
(.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)))))))))
(*.f64 #s(literal 1/2 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))))
(*.f64 #s(literal 1/2 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))))
(*.f64 #s(literal 1/2 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))))
(*.f64 #s(literal 1/2 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))))
(*.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)))
(+.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)))))
(+.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)))))))
(.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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))
(+.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)))))
(+.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)))))))
(.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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(+.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)))
(+.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 (sinh.f64 y) (cos.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (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 (sinh.f64 y) (cos.f64 x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (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 (sinh.f64 y) (cos.f64 x))) #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)))

Outputs
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)
(.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)))))))
(.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)) #s(literal 1/120 binary64))))))
(*.f64 y (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)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)
(.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)))))))))
(.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 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/5040 binary64))))))))
(*.f64 y (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)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 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))
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(*.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)))
(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)
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) 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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) 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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 1 binary64)) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1/3 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

eval95.0ms (2.1%)

Compiler: Compiled 2015 to 928 computations (53.9% saved)

prune18.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	2	131

Accuracy

100.0%

Counts

131 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	50.5%	(cos.f64 x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize49.0ms (1.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(sinh.f64 y)
✓	99.8%	(/.f64 (cos.f64 x) y)
✓	99.8%	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Results

36.0ms

256×

256

valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-cos, time spent: 10.0ms, 59.0% of total-time

Operation ival-div, time spent: 2.0ms, 12.0% of total-time

Operation ival-mult, time spent: 2.0ms, 12.0% of total-time

Operation ival-sinh, time spent: 2.0ms, 12.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series6.0ms (0.1%)

Counts

2 → 28

Calls

Call 1

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

Outputs
#<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) 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))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (cos x) y)
0.0ms	x	@	-inf	(/ (cos x) y)
0.0ms	y	@	inf	(/ (cos x) y)
0.0ms	x	@	0	(* (sinh y) (/ (cos x) y))
0.0ms	x	@	inf	(/ (cos x) y)

rewrite235.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log1p-expm1-u`
676×	`expm1-log1p-u`
608×	`unpow-prod-down`
362×	`log-prod`
231×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	135	47
2	1777	47

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-define`
545×	`associate-/l*`
522×	`associate-/r*`
257×	`distribute-lft-in`
234×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	5745
1	832	5688
2	2519	4158

Stop Event

1×	node limit

Counts

144 → 184

Calls

Call 1

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

Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.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)))))
(+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 (cos.f64 x) (pow.f64 y #s(literal 2 binary64))) (*.f64 (cos.f64 x) #s(literal 1/6 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (cos.f64 x))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (cos.f64 x))
(+.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)))))))
(+.f64 (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 (cos.f64 x) (pow.f64 y #s(literal 2 binary64))) (.f64 (cos.f64 x) #s(literal 1/120 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) (cos.f64 x))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 (cos.f64 x) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 y #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 (cos.f64 x) (/.f64 (sinh.f64 y) 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 (cos.f64 x) (/.f64 (sinh.f64 y) 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)))
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(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (cos.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 (/.f64 (cos.f64 x) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) #s(literal 8 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (cos.f64 x) y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (cos.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 (cos.f64 x))) #s(literal -1 binary64)))
(/.f64 (cos.f64 x) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)))
(/.f64 (cos.f64 x) 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) (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (cos.f64 x) y)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 y) (cbrt.f64 (cos.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (cos.f64 x))))
(/.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 y) (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)))
(/.f64 (cos.f64 x) y)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (cos.f64 x) y)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (cbrt.f64 (cos.f64 x)))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (cos.f64 x))) #s(literal -2 binary64))
(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 2 binary64)) #s(literal 1/2 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)
(pow.f64 (/.f64 y (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (cos.f64 x) y)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (cos.f64 x) y)
(pow.f64 (/.f64 (/.f64 y (cos.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (cos.f64 x) y)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(/.f64 (cos.f64 x) y)
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) y))
(/.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)
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(/.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)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) #s(literal 3 binary64)))
(/.f64 (cos.f64 x) y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 (cos.f64 x) y))) #s(literal 1/3 binary64)))
(/.f64 (cos.f64 x) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) #s(literal 2 binary64)))
(/.f64 (cos.f64 x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (cos.f64 x))) #s(literal -1 binary64)))
(/.f64 (cos.f64 x) y)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (cos.f64 x) y)

eval147.0ms (3.3%)

Compiler: Compiled 3864 to 1687 computations (56.3% saved)

prune37.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	246	4	250

Accuracy

100.0%

Counts

250 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(/.f64 (sinh.f64 y) y)
✓	99.9%	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	50.4%	(*.f64 y (/.f64 (cos.f64 x) y))
✓	50.5%	(cos.f64 x)

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize48.0ms (1.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(sinh.f64 y)
	99.8%	(/.f64 (cos.f64 x) y)
✓	99.7%	(*.f64 y (/.f64 (cos.f64 x) y))

Results

35.0ms

256×

256

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-cos, time spent: 8.0ms, 49.0% of total-time

Operation ival-div, time spent: 4.0ms, 24.0% of total-time

Operation ival-mult, time spent: 3.0ms, 18.0% of total-time

Operation ival-sinh, time spent: 2.0ms, 12.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* y (/ (cos x) y))
0.0ms	y	@	0	(* y (/ (cos x) y))
0.0ms	y	@	inf	(* y (/ (cos x) y))
0.0ms	x	@	inf	(* y (/ (cos x) y))
0.0ms	y	@	-inf	(* y (/ (cos x) y))

rewrite75.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log1p-expm1-u`
550×	`expm1-log1p-u`
536×	`unpow-prod-down`
471×	`pow1`
310×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	112	26
2	1465	8

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-neg`
483×	`distribute-rgt-neg-in`
462×	`distribute-lft-neg-in`
359×	`times-frac`
270×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	804
1	281	784
2	685	784
3	2828	784

Stop Event

1×	node limit

Counts

67 → 56

Calls

Call 1

Inputs
(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 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 y (/.f64 y (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (cos.f64 x))))
(/.f64 (*.f64 y (cos.f64 x)) y)
(/.f64 (neg.f64 (*.f64 y (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) y) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y (cos.f64 x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 y (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (cos.f64 x)))
(pow.f64 (/.f64 y (*.f64 y (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.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 (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)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (/.f64 (cos.f64 x) y))))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) (.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 x) y)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (/.f64 y (cos.f64 x)))))
(exp.f64 (-.f64 (log.f64 (.f64 y (cos.f64 x))) (.f64 (log.f64 y) #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))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 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 #s(literal 0 binary64) (cos.f64 x))
(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))))
(fma.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))))
(fma.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(cos.f64 x)
(/.f64 y (/.f64 y (cos.f64 x)))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (cos.f64 x))))
(cos.f64 x)
(/.f64 (*.f64 y (cos.f64 x)) y)
(cos.f64 x)
(/.f64 (neg.f64 (*.f64 y (cos.f64 x))) (neg.f64 y))
(cos.f64 x)
(/.f64 (*.f64 y (neg.f64 (cos.f64 x))) (neg.f64 y))
(cos.f64 x)
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) y) (neg.f64 y))
(cos.f64 x)
(/.f64 (/.f64 (*.f64 y (cos.f64 x)) #s(literal 1 binary64)) y)
(cos.f64 x)
(/.f64 (/.f64 (*.f64 y (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(cos.f64 x)
(/.f64 (/.f64 (*.f64 y (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(cos.f64 x)
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (/.f64 y (*.f64 y (cos.f64 x))) #s(literal -1 binary64))
(cos.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(cos.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(cos.f64 x)
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))))
(cos.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (/.f64 (cos.f64 x) y))))
(cos.f64 x)
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) (.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64))))
(cos.f64 x)
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 x) y)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(cos.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64)) (log.f64 y)))
(cos.f64 x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cos.f64 x) y)) #s(literal 1 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(cos.f64 x)
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (/.f64 y (cos.f64 x)))))
(cos.f64 x)
(exp.f64 (-.f64 (log.f64 (.f64 y (cos.f64 x))) (.f64 (log.f64 y) #s(literal 1 binary64))))
(cos.f64 x)

eval66.0ms (1.5%)

Compiler: Compiled 2868 to 1453 computations (49.3% saved)

prune42.0ms (0.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	224	6	230
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	224	10	234

Accuracy

100.0%

Counts

234 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (*.f64 y (cos.f64 x)) y)
✓	65.6%	(/.f64 (sinh.f64 y) y)
▶	50.4%	(/.f64 y (/.f64 y (cos.f64 x)))
▶	29.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	99.9%	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	50.4%	(*.f64 y (/.f64 (cos.f64 x) y))
▶	27.2%	(*.f64 y (/.f64 #s(literal 1 binary64) y))
	29.4%	(.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y)))
✓	50.5%	(cos.f64 x)
▶	27.2%	#s(literal 1 binary64)

Compiler

Compiled 127 to 92 computations (27.6% saved)

localize108.0ms (2.4%)

Localize:

Found 7 expressions with local error:

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

Results

70.0ms

256×

256

valid

Compiler

Compiled 61 to 30 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

Operation ival-div, time spent: 10.0ms, 27.0% of total-time

Operation ival-cos, time spent: 8.0ms, 22.0% of total-time

Operation ival-mult, time spent: 8.0ms, 22.0% of total-time

Operation ival-pow, time spent: 8.0ms, 22.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

Operation ival-add, time spent: 1.0ms, 3.0% of total-time

series12.0ms (0.3%)

Counts

7 → 77

Calls

Call 1

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

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 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 #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 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 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 #s(literal 1 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)))>

Calls

33 calls:

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

rewrite145.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`log1p-expm1-u`
750×	`expm1-log1p-u`
636×	`log-prod`
332×	`prod-diff`
257×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	300	85
2	3590	85

Stop Event

1×	node limit

Counts

7 → 271

Calls

Call 1

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

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

simplify142.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

302×	`distribute-lft-neg-in`
284×	`distribute-rgt-neg-in`
270×	`distribute-lft-neg-out`
258×	`exp-prod`
243×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	6213
1	1070	6004
2	3581	5906

Stop Event

1×	node limit

Counts

348 → 266

Calls

Call 1

Inputs
(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)
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))))))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 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))))
(+.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)
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 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))))
(+.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))))
#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)))
(*.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)))
(+.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 y (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 (.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (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 (.f64 y (cos.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y (cos.f64 x))) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (cos.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 y (cos.f64 x))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 y (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (cos.f64 x) y)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
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(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 (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 (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 (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 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.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))))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 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 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.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 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.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 (-.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 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.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 (cbrt.f64 (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 (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 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.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)))
(log.f64 (exp.f64 (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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (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)) #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 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 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)))))
(expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 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)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.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)) #s(literal -1 binary64))
(fma.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))) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.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)))))) #s(literal -1 binary64))
(fma.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))))) #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)
y
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 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 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/24 binary64) y))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) y)) y)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 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))))
(+.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)
y
(+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+.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))))
(+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y #s(literal -5/24 binary64)))) (.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y #s(literal 5/24 binary64))) (*.f64 #s(literal 1/2 binary64) y)) y)
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(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.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)))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.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))))) #s(literal -1 binary64))
(fma.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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))

eval113.0ms (2.5%)

Compiler: Compiled 3292 to 1966 computations (40.3% saved)

prune46.0ms (1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	263	3	266
Fresh	0	1	1
Picked	3	2	5
Done	0	4	4
Total	266	10	276

Accuracy

100.0%

Counts

276 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(/.f64 (/.f64 (*.f64 (neg.f64 y) y) (/.f64 y (neg.f64 (cos.f64 x)))) y)
	32.3%	(/.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
✓	65.6%	(/.f64 (sinh.f64 y) y)
✓	99.9%	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	50.4%	(*.f64 y (/.f64 (cos.f64 x) y))
✓	27.2%	(*.f64 y (/.f64 #s(literal 1 binary64) y))
	29.4%	(.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y)))
	6.3%	(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	50.5%	(cos.f64 x)
✓	27.2%	#s(literal 1 binary64)

Compiler

Compiled 180 to 110 computations (38.9% saved)

regimes19.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
4.0ms	y
4.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(cos.f64 x)
1.0ms	(/.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)

regimes52.0ms (1.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	(cos.f64 x)
12.0ms	x
10.0ms	y
1.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
78.8%	4	`x`
93.1%	3	`y`
82.8%	6	`(cos.f64 x)`
88.4%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
1.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
88.4%	2	`(/.f64 (sinh.f64 y) y)`
88.4%	2	`y`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
50.5%	1	`x`
50.5%	1	`(cos.f64 x)`
50.5%	1	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
27.2%	1	`x`
27.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch45.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.229393340242794e+152	1.5245995890544511e+155
22.0ms	0.2900180765492023	9245628.222006481

Results

18.0ms	144×	256	infinite
14.0ms	128×	256	valid

Compiler

Compiled 298 to 211 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-cos, time spent: 8.0ms, 54.0% of total-time

Operation ival-div, time spent: 2.0ms, 13.0% of total-time

Operation ival-mult, time spent: 2.0ms, 13.0% of total-time

Operation ival-sinh, time spent: 2.0ms, 13.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch25.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.2900180765492023	9245628.222006481

Results

17.0ms	128×	256	valid
2.0ms	16×	256	infinite

Compiler

Compiled 122 to 91 computations (25.4% saved)

Precisions

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

Operation ival-cos, time spent: 4.0ms, 50.0% of total-time

Operation ival-sinh, time spent: 2.0ms, 25.0% of total-time

Operation ival-div, time spent: 1.0ms, 12.0% of total-time

Operation ival-mult, time spent: 1.0ms, 12.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

43×	`distribute-lft-neg-in`
27×	`unsub-neg`
26×	`neg-sub0`
26×	`neg-mul-1`
21×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	177
1	45	177
2	58	177
3	78	169
4	113	169
5	172	169
6	224	169
7	258	169
8	281	169
9	301	169
10	316	169
11	322	169
12	323	169

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 5404319552844595/18014398509481984 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (sinh.f64 y) y) (/.f64 (/.f64 (*.f64 (neg.f64 y) y) (/.f64 y (neg.f64 (cos.f64 x)))) y)))
(if (<=.f64 y #s(literal 5404319552844595/18014398509481984 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
#s(literal 1 binary64)

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 5404319552844595/18014398509481984 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (sinh.f64 y) y) (/.f64 (/.f64 (*.f64 (neg.f64 y) y) (/.f64 y (neg.f64 (cos.f64 x)))) y)))
(if (<=.f64 y #s(literal 5404319552844595/18014398509481984 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (sinh.f64 y) y) (/.f64 (/.f64 (*.f64 y (neg.f64 y)) (/.f64 y (neg.f64 (cos.f64 x)))) y)))
(if (<=.f64 y #s(literal 5404319552844595/18014398509481984 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (sinh.f64 y) y) (/.f64 (/.f64 (*.f64 y y) (/.f64 y (cos.f64 x))) y)))
(if (<=.f64 y #s(literal 5404319552844595/18014398509481984 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
#s(literal 1 binary64)

soundness557.0ms (12.5%)

Rules

982×	`fma-define`
877×	`times-frac`
853×	`fma-define`
750×	`log1p-expm1-u`
750×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3556
1	575	3476
2	1901	3237
0	12	38
1	135	38
2	1767	38
0	21	125
1	300	85
2	3590	85
0	11	26
1	112	26
2	1465	8
0	374	5745
1	832	5688
2	2519	4158

Stop Event

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

Compiler

Compiled 427 to 209 computations (51.1% saved)

preprocess49.0ms (1.1%)

Remove

(abs y)

(abs x)

Compiler

Compiled 254 to 148 computations (41.7% saved)

Iter	Nodes	Cost
0	29	177
1	45	177
2	58	177
3	78	169
4	113	169
5	172	169
6	224	169
7	258	169
8	281	169
9	301	169
10	316	169
11	322	169
12	323	169

Iter	Nodes	Cost
0	29	177
1	45	177
2	58	177
3	78	169
4	113	169
5	172	169
6	224	169
7	258	169
8	281	169
9	301	169
10	316	169
11	322	169
12	323	169

analyze20.0ms (0.5%)

sample1.4s (32.3%)

preprocess265.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (1%)

series14.0ms (0.3%)

rewrite260.0ms (5.8%)

simplify69.0ms (1.5%)

eval95.0ms (2.1%)

prune18.0ms (0.4%)

localize49.0ms (1.1%)

series6.0ms (0.1%)

rewrite235.0ms (5.3%)

simplify102.0ms (2.3%)

eval147.0ms (3.3%)

prune37.0ms (0.8%)

localize48.0ms (1.1%)

series1.0ms (0%)

rewrite75.0ms (1.7%)

simplify74.0ms (1.7%)

eval66.0ms (1.5%)

prune42.0ms (0.9%)

localize108.0ms (2.4%)

series12.0ms (0.3%)

rewrite145.0ms (3.3%)

simplify142.0ms (3.2%)

eval113.0ms (2.5%)

prune46.0ms (1%)

regimes19.0ms (0.4%)

regimes52.0ms (1.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch45.0ms (1%)

bsearch25.0ms (0.6%)

simplify19.0ms (0.4%)

soundness557.0ms (12.5%)

preprocess49.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	177
1	45	177
2	58	177
3	78	169
4	113	169
5	172	169
6	224	169
7	258	169
8	281	169
9	301	169
10	316	169
11	322	169
12	323	169