Metrics for 2cos (problem 3.3.5)

analyze60.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	74.7%	0%	0%	0%	3
0%	0%	25.3%	74.7%	0%	0%	0%	4
0%	0%	19%	81%	0%	0%	0%	5
0%	0%	15.8%	84.2%	0%	0%	0%	6
0%	0%	11.1%	88.9%	0%	0%	0%	7
0%	0%	8.7%	91.3%	0%	0%	0%	8
0%	0%	5.9%	94.1%	0%	0%	0%	9
0%	0%	4.5%	95.5%	0%	0%	0%	10
0%	0%	3.1%	96.9%	0%	0%	0%	11
0%	0%	2.7%	97.3%	0%	0%	0%	12

Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

Operation ival-cos, time spent: 11.0ms, 32.0% of total-time

Operation ival-<=, time spent: 7.0ms, 20.0% of total-time

Operation ival-<, time spent: 4.0ms, 11.0% of total-time

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

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

Operation ival-add, time spent: 2.0ms, 6.0% of total-time

Operation ival-sub, time spent: 2.0ms, 6.0% of total-time

Operation ival-and, time spent: 2.0ms, 6.0% of total-time

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

sample11.5s (70.7%)

Results

3.2s	25569×	256	precondition
4.8s	4173×	2048	valid
970.0ms	2069×	1024	valid
306.0ms	1054×	512	valid
241.0ms	960×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 7.1s

Operation ival-cos, time spent: 3.7s, 51.0% of total-time

Operation ival-<=, time spent: 750.0ms, 11.0% of total-time

Operation ival-fabs, time spent: 597.0ms, 8.0% of total-time

Operation ival-mult, time spent: 570.0ms, 8.0% of total-time

Operation ival-<, time spent: 469.0ms, 7.0% of total-time

Operation ival-add, time spent: 447.0ms, 6.0% of total-time

Operation ival-sub, time spent: 326.0ms, 5.0% of total-time

Operation ival-and, time spent: 202.0ms, 3.0% of total-time

Operation const, time spent: 106.0ms, 1.0% of total-time

Bogosity

preprocess344.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

158×	`fma-neg`
91×	`fma-define`
54×	`sub-neg`
41×	`associate--r+`
36×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
145	-	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
1	-	-	`(cos.f64 (+.f64 x eps))`
0	-	-	`x`
0	-	-	`(+.f64 x eps)`
0	-	-	`(cos.f64 x)`
0	-	-	`eps`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	234
1	49	218
2	96	210
3	184	210
4	349	210
5	486	210
6	636	210
7	761	210
8	795	210
9	821	210
10	827	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

Results

173.0ms	238×	2048	valid
39.0ms	124×	1024	valid
18.0ms	86×	512	valid
7.0ms	64×	256	valid

Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

Operation ival-cos, time spent: 140.0ms, 84.0% of total-time

Operation ival-add, time spent: 16.0ms, 10.0% of total-time

Operation ival-sub, time spent: 8.0ms, 5.0% of total-time

Operation const, time spent: 2.0ms, 1.0% 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
▶	48.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize135.0ms (0.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(cos.f64 (+.f64 x eps))
✓	48.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

89.0ms	119×	2048	valid
19.0ms	62×	1024	valid
9.0ms	43×	512	valid
4.0ms	32×	256	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

Operation ival-cos, time spent: 72.0ms, 84.0% of total-time

Operation ival-add, time spent: 8.0ms, 9.0% of total-time

Operation ival-sub, time spent: 4.0ms, 5.0% of total-time

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

series5.0ms (0%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))>
#<alt (cos.f64 (+.f64 x eps))>

Outputs
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (cos.f64 eps)>
#<alt (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))))>
#<alt (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))>
#<alt (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(- (cos (+ x eps)) (cos x))
1.0ms	x	@	0	(- (cos (+ x eps)) (cos x))
1.0ms	eps	@	0	(- (cos (+ x eps)) (cos x))
0.0ms	x	@	-inf	(- (cos (+ x eps)) (cos x))
0.0ms	eps	@	-inf	(- (cos (+ x eps)) (cos x))

rewrite224.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`log1p-expm1-u`
974×	`expm1-log1p-u`
454×	`fma-define`
401×	`log-prod`
235×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	161	47
2	2458	47

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))

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

eval46.0ms (0.3%)

Compiler: Compiled 3504 to 936 computations (73.3% saved)

prune30.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	205	6	211
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	205	7	212

Accuracy

99.8%

Counts

212 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	47.5%	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶	77.7%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
▶	99.7%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
▶	80.0%	(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))

Compiler

Compiled 199 to 136 computations (31.7% saved)

localize1.3s (8.1%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	99.9%	(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓	99.8%	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓	59.5%	(+.f64 x (-.f64 eps x))
✓	100.0%	(*.f64 eps (cos.f64 x))
✓	100.0%	(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))
✓	99.8%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
✓	100.0%	(*.f64 eps (sin.f64 x))
✓	49.3%	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
✓	99.6%	(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
✓	99.5%	(.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))
✓	99.4%	(*.f64 #s(literal -1/6 binary64) (sin.f64 x))

Results

770.0ms	123×	2048	valid
211.0ms	61×	1024	valid
111.0ms	44×	512	valid
22.0ms	27×	256	valid
9.0ms	1×	8192	exit

Compiler

Compiled 286 to 122 computations (57.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 879.0ms

Operation ival-sin, time spent: 438.0ms, 50.0% of total-time

Operation ival-mult, time spent: 238.0ms, 27.0% of total-time

Operation ival-cos, time spent: 81.0ms, 9.0% of total-time

Operation ival-sub, time spent: 62.0ms, 7.0% of total-time

Operation ival-add, time spent: 43.0ms, 5.0% of total-time

Operation const, time spent: 17.0ms, 2.0% of total-time

series48.0ms (0.3%)

Counts

13 → 174

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/6 binary64) (sin.f64 x))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))>
#<alt (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))>

Outputs
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/30240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) eps) (.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/48 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/17280 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/576 binary64) eps))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (sin.f64 x))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/24 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps x)))))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/36 binary64) x) (*.f64 #s(literal -1/48 binary64) eps))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps)) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps x)>
#<alt (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 x))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) eps))))))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))>
#<alt (+.f64 (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (+.f64 (.f64 #s(literal -1/48 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x))))))))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>

Calls

72 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(- (* -1/2 (* eps (cos x))) (sin x))
2.0ms	eps	@	inf	(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
1.0ms	x	@	inf	(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
1.0ms	x	@	-inf	(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
1.0ms	eps	@	0	(* 1/24 (* eps (cos x)))

rewrite132.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`log1p-expm1-u`
352×	`expm1-log1p-u`
346×	`add-cube-cbrt`
343×	`add-exp-log`
343×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	494
1	737	474

Stop Event

1×	node limit

Counts

13 → 251

Calls

Call 1

Inputs
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
(.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 eps (sin.f64 x))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 x (-.f64 eps x))
(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (fma.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))) #s(literal 1 binary64)))

eval171.0ms (1.1%)

Compiler: Compiled 9609 to 5559 computations (42.1% saved)

prune68.0ms (0.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	427	16	443
Fresh	1	0	1
Picked	3	2	5
Done	1	0	1
Total	432	18	450

Accuracy

100.0%

Counts

450 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.2%	(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64))
	98.5%	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	97.5%	(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
	31.0%	(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))
	30.2%	(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
	98.8%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
▶	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))))) (sin.f64 x)))
	98.9%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))) (sin.f64 x)))
✓	99.7%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
	99.3%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
▶	98.5%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
	97.6%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
	97.5%	(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
	99.6%	(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
	49.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
✓	80.0%	(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
▶	78.8%	(.f64 #s(literal -1 binary64) (.f64 eps x))

Compiler

Compiled 599 to 435 computations (27.4% saved)

localize433.0ms (2.7%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
✓	99.8%	(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64))
✓	79.4%	(sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
✓	100.0%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	100.0%	(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓	99.9%	(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓	99.9%	(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
✓	99.9%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
✓	99.8%	(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))
✓	99.7%	(*.f64 #s(literal 1/6 binary64) x)
✓	99.9%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))))) (sin.f64 x)))
✓	99.8%	(+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
✓	99.7%	(*.f64 #s(literal 1/24 binary64) eps)
✓	99.7%	(*.f64 #s(literal 1/6 binary64) x)

Results

146.0ms	128×	256	invalid
154.0ms	128×	256	valid

Compiler

Compiled 332 to 190 computations (42.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

Operation ival-mult, time spent: 133.0ms, 60.0% of total-time

Operation ival-add, time spent: 31.0ms, 14.0% of total-time

Operation ival-sin, time spent: 17.0ms, 8.0% of total-time

Operation composed, time spent: 15.0ms, 7.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Operation ival-sub, time spent: 8.0ms, 4.0% of total-time

Operation ival-cos, time spent: 4.0ms, 2.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 2.0% of total-time

Operation ival-pow, time spent: 2.0ms, 1.0% of total-time

Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series50.0ms (0.3%)

Counts

14 → 249

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))>
#<alt (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))))) (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))>
#<alt (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))>
#<alt (pow.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64))>
#<alt (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))>

Outputs
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) eps)>
#<alt (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal 1/24 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/24 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/24 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal 1/24 binary64) eps)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 eps x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 eps x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 eps x))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 eps x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 eps x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 eps x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
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#<alt (sqrt.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))>
#<alt (sqrt.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))>
#<alt (sqrt.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))>
#<alt (sqrt.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (cos.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (sin.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (sin.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (sin.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>

Calls

75 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 eps) (* 1/6 x))))) (sin x)))
5.0ms	x	@	0	(* x (+ (* 1/6 x) (* 1/4 eps)))
1.0ms	x	@	-inf	(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 eps) (* 1/6 x))))) (sin x)))
1.0ms	eps	@	-inf	(sqrt (* eps (+ (* (* -1/2 eps) (cos x)) (neg (sin x)))))
1.0ms	eps	@	0	(sqrt (* eps (+ (* (* -1/2 eps) (cos x)) (neg (sin x)))))

rewrite173.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

380×	`log1p-expm1-u`
380×	`expm1-log1p-u`
372×	`add-cube-cbrt`
369×	`add-exp-log`
369×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	509
1	819	497

Stop Event

1×	node limit

Counts

14 → 234

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/24 binary64) eps)
(+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))))) (sin.f64 x)))
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64))
(.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/6 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/6 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) eps)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/24 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x)))))
(pow.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) eps))
(fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 eps #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/24 binary64) eps)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/24 binary64) eps))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/24 binary64) eps)) (sqrt.f64 (.f64 #s(literal 1/24 binary64) eps)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/24 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))))
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(pow.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(.f64 (sqrt.f64 eps) (sqrt.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sqrt.f64 eps))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))) (sqrt.f64 (sqrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 1/2 binary64)))
(pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))) #s(literal 1 binary64))
(.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) (sqrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3/2 binary64)) (pow.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))) #s(literal 1 binary64))
(pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3/2 binary64)) (pow.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 1 binary64)))

eval196.0ms (1.2%)

Compiler: Compiled 10224 to 6899 computations (32.5% saved)

prune73.0ms (0.4%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	501	6	507
Fresh	3	8	11
Picked	2	3	5
Done	0	2	2
Total	506	19	525

Accuracy

100.0%

Counts

525 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.5%	(pow.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
	98.5%	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	97.5%	(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
	31.0%	(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 #s(literal -1/6 binary64) x)) eps))))
▶	98.8%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x)))
	98.9%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))) (sin.f64 x)))
✓	99.7%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
	99.3%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
✓	98.5%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
▶	97.6%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
	98.3%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
	97.5%	(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
▶	99.6%	(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
▶	49.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
	85.4%	(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/6 binary64) eps))))
✓	80.0%	(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
✓	78.8%	(.f64 #s(literal -1 binary64) (.f64 eps x))

Compiler

Compiled 572 to 424 computations (25.9% saved)

localize357.0ms (2.2%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (sin.f64 x) eps)
✓	99.9%	(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓	98.9%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓	100.0%	(/.f64 (sin.f64 x) eps)
✓	99.9%	(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓	99.8%	(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
✓	99.7%	(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓	100.0%	(.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))
✓	100.0%	(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64))))
✓	99.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
✓	100.0%	(-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x))
✓	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x)))
✓	99.8%	(.f64 eps (.f64 #s(literal 1/6 binary64) x))
✓	99.4%	(*.f64 #s(literal 1/6 binary64) x)

Results

232.0ms	254×	256	valid
7.0ms	2×	2048	valid

Compiler

Compiled 260 to 137 computations (47.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

Operation ival-mult, time spent: 105.0ms, 70.0% of total-time

Operation ival-add, time spent: 15.0ms, 10.0% of total-time

Operation ival-sub, time spent: 8.0ms, 5.0% of total-time

Operation const, time spent: 7.0ms, 5.0% of total-time

Operation ival-pow, time spent: 5.0ms, 3.0% of total-time

Operation ival-cos, time spent: 4.0ms, 3.0% of total-time

Operation ival-sin, time spent: 3.0ms, 2.0% of total-time

Operation ival-div, time spent: 2.0ms, 1.0% of total-time

series39.0ms (0.2%)

Counts

14 → 219

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 eps (.f64 #s(literal 1/6 binary64) x))>
#<alt (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x)))>
#<alt (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64))))>
#<alt (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 x) eps)>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 x) eps)>

Outputs
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/6 binary64) x))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/6 binary64) x))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 #s(literal -1/6 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 #s(literal -1/6 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 x))>
#<alt (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (sin.f64 x))>
#<alt (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (sin.f64 x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/6 binary64) x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/6 binary64) x))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (cos.f64 x)) x)) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)))>
#<alt (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (cos.f64 x)) x)) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)))>
#<alt (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (cos.f64 x)) x)) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)) x)) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)) x)) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)) x)) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (.f64 #s(literal 1/4 binary64) eps)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (.f64 #s(literal 1/4 binary64) eps)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (/.f64 x eps)>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (/.f64 x eps)>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))>

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
1.0ms	x	@	inf	(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
1.0ms	eps	@	-inf	(* eps (+ (* -1/2 eps) (* x (- (* x (* 1/4 eps)) 1))))
1.0ms	eps	@	0	(* eps (+ (* -1/2 eps) (* x (- (* x (* 1/4 eps)) 1))))
1.0ms	eps	@	inf	(* eps (+ (* -1/2 eps) (* x (- (* x (* 1/4 eps)) 1))))

rewrite156.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

354×	`associate-r`
276×	`log1p-expm1-u`
276×	`expm1-log1p-u`
271×	`add-cube-cbrt`
270×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	534
1	610	504

Stop Event

1×	node limit

Counts

14 → 419

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) x)
(.f64 eps (.f64 #s(literal 1/6 binary64) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x)))
(-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64))))
(.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) eps)
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) eps)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/6 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/6 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/6 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps))))
(cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps)))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps)))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) eps)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) eps)) #s(literal 1 binary64)))
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(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
(*.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps))) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (sin.f64 x) eps))) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 x) eps))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))

eval291.0ms (1.8%)

Compiler: Compiled 16567 to 9182 computations (44.6% saved)

prune100.0ms (0.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	813	11	824
Fresh	4	5	9
Picked	4	1	5
Done	0	5	5
Total	821	22	843

Accuracy

100.0%

Counts

843 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.5%	(pow.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
	98.5%	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	97.5%	(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
	98.8%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
	96.7%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
	79.3%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)))
✓	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	99.7%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
	99.3%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
	96.6%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))))
	97.4%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
	98.5%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
✓	98.5%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
	98.3%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
	97.5%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
	54.4%	(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
	98.3%	(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
	97.4%	(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
	97.5%	(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
✓	49.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
✓	80.0%	(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
✓	78.8%	(.f64 #s(literal -1 binary64) (.f64 eps x))

Compiler

Compiled 990 to 654 computations (33.9% saved)

regimes27.0ms (0.2%)

Counts

40 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))))) (sin.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(pow.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 #s(literal -1/6 binary64) x)) eps))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/6 binary64) eps))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))

Outputs
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))))) (sin.f64 x)))

Calls

3 calls:

11.0ms	eps
10.0ms	x
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))

Outputs
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 #s(literal 1/6 binary64) x)))) (sin.f64 x)))

Calls

3 calls:

7.0ms	x
6.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))

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

Calls

3 calls:

6.0ms	x
6.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))

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

Calls

3 calls:

6.0ms	x
6.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)))

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

Calls

3 calls:

6.0ms	eps
5.0ms	x
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))

Outputs
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) eps)) #s(literal 1 binary64)))))

Outputs
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))))

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))

Outputs
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 eps (.f64 eps (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))

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

Calls

2 calls:

3.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -19.1b remaining (-140.2%)

Threshold costs -19.1b (-140.2%)

Stop Event

1×

fuel

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))

Outputs
(.f64 #s(literal -1 binary64) (.f64 eps x))

Calls

2 calls:

1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
78.8%	1	`eps`
78.8%	1	`x`

Compiler

Compiled 161 to 114 computations (29.2% saved)

soundness121.0ms (0.7%)

Rules

974×	`log1p-expm1-u`
974×	`expm1-log1p-u`
454×	`fma-define`
401×	`log-prod`
235×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	161	47
2	2458	47

Stop Event

1×	node limit

Compiler

Compiled 190 to 105 computations (44.7% saved)

end0.0ms (0%)

preprocess89.0ms (0.5%)

Compiler: Compiled 322 to 208 computations (35.4% saved)

Iter	Nodes	Cost
0	27	234
1	49	218
2	96	210
3	184	210
4	349	210
5	486	210
6	636	210
7	761	210
8	795	210
9	821	210
10	827	210

Iter	Nodes	Cost
0	27	234
1	49	218
2	96	210
3	184	210
4	349	210
5	486	210
6	636	210
7	761	210
8	795	210
9	821	210
10	827	210

analyze60.0ms (0.4%)

sample11.5s (70.7%)

preprocess344.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize135.0ms (0.8%)

series5.0ms (0%)

rewrite224.0ms (1.4%)

eval46.0ms (0.3%)

prune30.0ms (0.2%)

localize1.3s (8.1%)

series48.0ms (0.3%)

rewrite132.0ms (0.8%)

eval171.0ms (1.1%)

prune68.0ms (0.4%)

localize433.0ms (2.7%)

series50.0ms (0.3%)

rewrite173.0ms (1.1%)

eval196.0ms (1.2%)

prune73.0ms (0.4%)

localize357.0ms (2.2%)

series39.0ms (0.2%)

rewrite156.0ms (1%)

eval291.0ms (1.8%)

prune100.0ms (0.6%)

regimes27.0ms (0.2%)

regimes18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0%)

soundness121.0ms (0.7%)

end0.0ms (0%)

preprocess89.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	27	234
1	49	218
2	96	210
3	184	210
4	349	210
5	486	210
6	636	210
7	761	210
8	795	210
9	821	210
10	827	210