Metrics for 2sin (example 3.3)

analyze55.0ms (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: 32.0ms

ival-sin: 8.0ms (25.3% of total)

...c/correct-round.rkt:121:19: 6.0ms (19% of total)

ival-mult: 3.0ms (9.5% of total)

ival-fabs: 3.0ms (9.5% of total)

ival-<=: 3.0ms (9.5% of total)

ival-<: 3.0ms (9.5% of total)

ival-add: 2.0ms (6.3% of total)

ival-sub: 2.0ms (6.3% of total)

ival-and: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

sample7.8s (54.3%)

Results

4.2s	25998×	0	precondition
932.0ms	4440×	1	valid
492.0ms	3816×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-sin: 926.0ms (21.8% of total)

...c/correct-round.rkt:121:19: 697.0ms (16.4% of total)

ival-mult: 603.0ms (14.2% of total)

ival-<=: 504.0ms (11.9% of total)

ival-<: 383.0ms (9% of total)

ival-fabs: 318.0ms (7.5% of total)

ival-sub: 288.0ms (6.8% of total)

ival-add: 269.0ms (6.3% of total)

ival-and: 115.0ms (2.7% of total)

backward-pass: 97.0ms (2.3% of total)

const: 46.0ms (1.1% of total)

Bogosity

preprocess113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

154×	`fma-neg`
59×	`fma-define`
49×	`sub-neg`
39×	`cancel-sign-sub-inv`
35×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210

Stop Event

1×

saturated

Calls

Call 1

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

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

explain120.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
220	7	(-1.030573689074707e-121 1.5112044924930499e-124)	4	(-7.351903249168268e-37 1.1589333734358738e-38)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
2	0	-	0	-	`(sin.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`	cancellation	223	9
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	217	4
-	7	28

Precision

0.96875

Recall

0.9819004524886877

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	217	4	0
-	7	5	23

Precision?

0.9484978540772532

Recall?

1.0

Freqs

test

number	freq
0	32
1	223
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

42.0ms	252×	1	valid
16.0ms	248×	0	valid
8.0ms	8×	3	valid
1.0ms	4×	2	valid

Compiler

Compiled 60 to 26 computations (56.7% saved)

Precisions

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

ival-sin: 20.0ms (54.7% of total)

backward-pass: 7.0ms (19.2% of total)

ival-add: 5.0ms (13.7% of total)

ival-sub: 4.0ms (10.9% of total)

const: 1.0ms (2.7% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(+.f64 x eps)
✓	cost-diff	(sin.f64 (+.f64 x eps))
✓	cost-diff	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Rules

39×	`fma-define`
32×	`fma-neg`
12×	`sub-neg`
10×	`distribute-rgt-in`
10×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	15	76
2	20	76
3	28	76
4	37	76
5	54	76
6	92	76
7	132	76
8	180	76
9	215	76
10	241	76
11	243	76

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

localize41.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	63.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

19.0ms	126×	1	valid
8.0ms	124×	0	valid
3.0ms	4×	3	valid
3.0ms	2×	2	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 12.0ms (62.7% of total)

ival-add: 3.0ms (15.7% of total)

backward-pass: 2.0ms (10.4% of total)

ival-sub: 2.0ms (10.4% of total)

const: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

4 → 76

Calls

Call 1

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

Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(- (sin (+ x eps)) (sin x))
1.0ms	eps	@	inf	(- (sin (+ x eps)) (sin x))
1.0ms	x	@	0	(- (sin (+ x eps)) (sin x))
1.0ms	eps	@	0	(- (sin (+ x eps)) (sin x))
0.0ms	x	@	0	(sin (+ x eps))

rewrite257.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`log1p-expm1-u`
978×	`expm1-log1p-u`
461×	`fma-define`
401×	`log-prod`
211×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	160	68
2	2460	68

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

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

simplify151.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

654×	`distribute-lft-in`
511×	`fma-neg`
481×	`times-frac`
350×	`cancel-sign-sub-inv`
238×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	10705
1	1219	10322
2	3576	9977

Stop Event

1×	node limit

Counts

294 → 317

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.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))) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
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(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (.f64 (exp.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))

Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) #s(literal -1 binary64))) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 eps) #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (fma.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)))))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(+.f64 eps x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 eps x)
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(+.f64 eps x)
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (log.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(+.f64 eps x)
(fma.f64 x #s(literal 1 binary64) eps)
(+.f64 eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 eps x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 x)))) (.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (exp.f64 (log1p.f64 x)))))
(-.f64 (.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)

eval44.0ms (0.3%)

Compiler: Compiled 5287 to 1001 computations (81.1% saved)

prune77.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	309	8	317
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	309	9	318

Accuracy

100.0%

Counts

318 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	63.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.1%	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	63.2%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶	99.9%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
▶	99.7%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
▶	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
	99.0%	(*.f64 eps (cos.f64 x))
▶	98.3%	(sin.f64 eps)

Compiler

Compiled 227 to 154 computations (32.2% saved)

simplify422.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 eps)
	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	cost-diff	128	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
✓	cost-diff	0	(cos.f64 x)
	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 eps (sin.f64 x))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓	cost-diff	128	(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓	cost-diff	256	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))

Rules

2175×	`fma-neg`
1211×	`fma-define`
488×	`unsub-neg`
460×	`distribute-lft-neg-in`
384×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	803
1	91	787
2	293	780
3	773	762
4	1092	762
5	1345	762
6	1758	762
7	2547	762
8	3193	762
9	3556	762
10	4478	762
11	5217	762
12	5382	762
13	5508	762
14	5897	762
15	6019	762
16	6272	762
17	6505	762
18	6509	762
19	6547	762
20	6675	762
21	6675	762
22	6675	762

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
(sin.f64 eps)
eps
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
eps
(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
(cos.f64 x)
x
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
eps
(+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))
(cos.f64 x)
x
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
#s(literal -1/6 binary64)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
x
(cos.f64 eps)
eps
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
(sin.f64 eps)

Outputs
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
(sin.f64 eps)
eps
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(cos.f64 x)
x
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))
(+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos.f64 x)
x
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
(.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
x
(cos.f64 eps)
eps
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cos.f64 x)
(sin.f64 eps)

localize239.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	accuracy	100.0%	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
✓	accuracy	63.3%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	accuracy	100.0%	(*.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
✓	accuracy	99.4%	(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
✓	accuracy	100.0%	(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
✓	accuracy	100.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓	accuracy	100.0%	(*.f64 eps (sin.f64 x))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓	accuracy	100.0%	(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))

Results

107.0ms	127×	1	valid
50.0ms	121×	0	valid
21.0ms	6×	3	valid
2.0ms	2×	2	valid

Compiler

Compiled 228 to 35 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 41.0ms (37.3% of total)

ival-sin: 19.0ms (17.3% of total)

ival-cos: 12.0ms (10.9% of total)

ival-add: 12.0ms (10.9% of total)

backward-pass: 11.0ms (10% of total)

...c/correct-round.rkt:121:19: 8.0ms (7.3% of total)

ival-fma: 5.0ms (4.6% of total)

ival-sub: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

series78.0ms (0.5%)

Counts

21 → 260

Calls

Call 1

Inputs
#<alt (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 eps)>
#<alt (cos.f64 x)>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))>
#<alt (-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (*.f64 (sin.f64 x) (cos.f64 eps))>
#<alt (cos.f64 eps)>
#<alt (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/3 binary64) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 x))))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/12 binary64) eps)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/240 binary64) eps) (.f64 #s(literal 1/10080 binary64) (.f64 eps (pow.f64 x #s(literal 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 -1/2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/144 binary64) eps) (.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))>
#<alt (-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
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#<alt (sin.f64 eps)>
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Calls

108 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	(* 2 (sin (* (+ eps 0) 1/2)))
8.0ms	eps	@	0	(* -1/6 (* eps (cos x)))
3.0ms	eps	@	-inf	(* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))
2.0ms	x	@	inf	(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
2.0ms	eps	@	-inf	(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))

rewrite189.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

335×	`associate-r`
291×	`log1p-expm1-u`
291×	`expm1-log1p-u`
284×	`add-cube-cbrt`
282×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	555
1	629	495

Stop Event

1×	node limit

Counts

21 → 489

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(sin.f64 eps)
(cos.f64 x)
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(cos.f64 eps)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (sin.f64 eps))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))
(pow.f64 (pow.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 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (.f64 (log.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 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 #s(literal 0 binary64))) (.f64 (cos.f64 eps) (sin.f64 #s(literal 0 binary64))))
(+.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 eps)) (.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(pow.f64 (sin.f64 eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (log.f64 eps)))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 (sin.f64 x) #s(literal 0 binary64)))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #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 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))) #s(literal 2 binary64))
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(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))))))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (sin.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))

simplify321.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

401×	`distribute-rgt-in`
385×	`distribute-lft-in`
344×	`*-commutative`
335×	`+-commutative`
193×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1467	31460
1	3806	30457

Stop Event

1×	node limit

Counts

749 → 848

Calls

Call 1

Inputs
(.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 (.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (.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 (.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
(+.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/3 binary64) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (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)) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 x))))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/12 binary64) eps)))))
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(*.f64 eps x)
(.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.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))))))))
(.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)))))))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
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(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
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(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
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(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
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(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 x (cos.f64 eps))
(.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)))))
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(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
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(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
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(*.f64 #s(literal 1/2 binary64) eps)
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
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(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 eps (cos.f64 x))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
eps
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(cos.f64 x)
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
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(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/6 binary64) eps))
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(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))
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eps
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
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(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
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(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
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(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
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(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))))))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (sin.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))

Outputs
(.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 (.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.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 (.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
(fma.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 (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) x)))))
(fma.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) 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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/3 binary64) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(fma.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 (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 #s(literal 1/3 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
(fma.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 (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) 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))))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 2 binary64) (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/12 binary64))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 x) #s(literal -1/12 binary64)))))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
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(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
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eps
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#s(literal 1 binary64)
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(cos.f64 x)
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eps
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(sin.f64 eps)
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(sin.f64 x)
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(.f64 (.f64 eps (cos.f64 x)) #s(literal -1/6 binary64))
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(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
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(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (sin.f64 eps))

eval148.0ms (1%)

Compiler: Compiled 22834 to 4347 computations (81% saved)

prune150.0ms (1.1%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1067	10	1077
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	1069	17	1086

Accuracy

100.0%

Counts

1086 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
✓	63.3%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	63.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.1%	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
▶	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
	99.4%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
▶	99.2%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
✓	99.7%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
	99.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/6 binary64) eps)))))
✓	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶	99.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
▶	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
▶	98.2%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
	99.2%	(.f64 eps (.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
	99.0%	(*.f64 eps (cos.f64 x))
✓	98.3%	(sin.f64 eps)

Compiler

Compiled 404 to 277 computations (31.4% saved)

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) eps)
	cost-diff	0	(cos.f64 x)
✓	cost-diff	128	(+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))
✓	cost-diff	128	(.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
✓	cost-diff	-6272	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 eps x))
	cost-diff	0	(cos.f64 x)
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(.f64 #s(literal 1/12 binary64) (.f64 eps x))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) eps)
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
✓	cost-diff	-6272	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 eps x))
✓	cost-diff	-6272	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) eps)
✓	cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))

Rules

629×	`neg-mul-1`
625×	`neg-sub0`
537×	`fma-define`
446×	`distribute-lft-in`
421×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	1099
1	130	1067
2	318	1067
3	807	1067
4	2189	1067
5	3824	1067
6	4105	1067
7	4297	1067
8	4770	1067
9	7105	1067

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
x
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
x
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
eps
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
x
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 eps x))
#s(literal 1/12 binary64)
(*.f64 eps x)
#s(literal 1/2 binary64)
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
(cos.f64 x)
x
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
eps
(+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
(cos.f64 x)
x
(.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
#s(literal -1/6 binary64)
(.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) eps)
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
x
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) #s(literal 1 binary64)))
(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps x)
x
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) #s(literal -1/2 binary64)))))))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))))
(.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
x
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) #s(literal -1/2 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) #s(literal -1/2 binary64)))
(.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
(.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 eps x))
(.f64 (.f64 eps #s(literal 1/12 binary64)) x)
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 eps x)
#s(literal 1/2 binary64)
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (cos.f64 x)))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (cos.f64 x)))
(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))
(cos.f64 x)
x
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps x)
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))))))
(.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
(+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))))))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))) (cos.f64 x))
(cos.f64 x)
x
(.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64)))
(fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))
(.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))
(.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 eps x))
(.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))
(+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) (+.f64 eps x))
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 eps #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)

localize205.0ms (1.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))
✓	accuracy	99.6%	(*.f64 #s(literal 1/12 binary64) x)
✓	accuracy	99.4%	(*.f64 #s(literal 1/12 binary64) eps)
✓	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) eps)
✓	accuracy	100.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓	accuracy	100.0%	(*.f64 eps x)
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 eps x))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
✓	accuracy	99.7%	(.f64 #s(literal 1/12 binary64) (.f64 eps x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
✓	accuracy	100.0%	(*.f64 eps x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 eps x))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) eps)
✓	accuracy	100.0%	(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓	accuracy	99.9%	(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))

Results

128.0ms	250×	0	valid
8.0ms	5×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 338 to 41 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 41.0ms (53.4% of total)

ival-cos: 11.0ms (14.3% of total)

ival-add: 10.0ms (13% of total)

...c/correct-round.rkt:121:19: 8.0ms (10.4% of total)

ival-sub: 3.0ms (3.9% of total)

backward-pass: 2.0ms (2.6% of total)

ival-sin: 2.0ms (2.6% of total)

const: 1.0ms (1.3% of total)

series63.0ms (0.4%)

Counts

21 → 244

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 eps x))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal 1/12 binary64) eps)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>

Outputs
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.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 -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/3 binary64) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt eps>
#<alt (.f64 #s(literal -1/2 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) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1/2 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) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (.f64 #s(literal -1/2 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 eps x)) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt #s(literal 1 binary64)>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 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 -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.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 1/12 binary64) eps)) (.f64 #s(literal 1/2 binary64) (/.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 1/12 binary64) eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (.f64 #s(literal 1/12 binary64) eps)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (.f64 #s(literal 1/12 binary64) eps)))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/12 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 -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt eps>
#<alt (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 eps (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 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 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 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 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.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 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (.f64 #s(literal -1/2 binary64) eps)) x)) (.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))>

Calls

105 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(* eps x)
1.0ms	eps	@	-inf	(* eps (+ 1 (* -1/2 (* eps x))))
1.0ms	x	@	-inf	(* (* 2 (sin (* 1/2 eps))) (cos (+ (* 1/2 eps) x)))
1.0ms	eps	@	inf	(* (* 2 (sin (* 1/2 eps))) (cos (+ (* 1/2 eps) x)))
1.0ms	eps	@	-inf	(* (* 2 (sin (* 1/2 eps))) (cos (+ (* 1/2 eps) x)))

rewrite185.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`log1p-expm1-u`
321×	`expm1-log1p-u`
320×	`add-cube-cbrt`
316×	`add-exp-log`
316×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	531
1	687	515

Stop Event

1×	node limit

Counts

21 → 394

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(*.f64 eps x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) eps)
(.f64 #s(literal 1/12 binary64) (.f64 eps x))
(.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (.f64 #s(literal 1/12 binary64) eps) (.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal -1/6 binary64) eps)
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 #s(literal 1/12 binary64) x)

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
(log1p.f64 (expm1.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
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(/.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps)) (.f64 eps (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))))
(pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 eps #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))

simplify399.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-define`
571×	`fma-neg`
316×	`distribute-rgt-in`
312×	`distribute-lft-in`
261×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1172	24580
1	3114	23555
2	7446	23503

Stop Event

1×	node limit

Counts

638 → 766

Calls

Call 1

Inputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 #s(literal 1/2 binary64) eps)
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
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eps
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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eps
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(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 #s(literal 1/12 binary64) x)
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(cos.f64 x)
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(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
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(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x))) (.f64 (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps)) (.f64 eps (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))))
(pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 eps #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))

Outputs
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/322560 binary64))) #s(literal -1/24 binary64)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/322560 binary64) #s(literal 1/1920 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
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(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 (.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 eps #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64))
(*.f64 eps #s(literal 1/12 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 2 binary64))
(*.f64 eps #s(literal 1/12 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps #s(literal 1/12 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/12 binary64)))
(*.f64 eps #s(literal 1/12 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/12 binary64)))))
(*.f64 eps #s(literal 1/12 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/12 binary64))))
(*.f64 eps #s(literal 1/12 binary64))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))))
(*.f64 eps #s(literal 1/12 binary64))
(exp.f64 (.f64 (log.f64 (.f64 eps #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 eps #s(literal 1/12 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/12 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal 1/12 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x #s(literal 1/12 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/12 binary64)))))
(*.f64 x #s(literal 1/12 binary64))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x #s(literal 1/12 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x #s(literal 1/12 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/12 binary64))

eval130.0ms (0.9%)

Compiler: Compiled 18335 to 4132 computations (77.5% saved)

prune193.0ms (1.4%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	874	6	880
Fresh	1	6	7
Picked	3	2	5
Done	0	5	5
Total	878	19	897

Accuracy

100.0%

Counts

897 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
✓	63.3%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	63.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.1%	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	99.4%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
▶	99.1%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
	99.2%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) #s(literal 1/2 binary64)))))))
✓	99.7%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
	99.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/6 binary64) eps)))))
✓	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
▶	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
	5.7%	(.f64 eps (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
	99.2%	(.f64 eps (.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
▶	99.4%	(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
	99.0%	(*.f64 eps (cos.f64 x))
▶	98.3%	(*.f64 eps #s(literal 1 binary64))
✓	98.3%	(sin.f64 eps)

Compiler

Compiled 424 to 294 computations (30.7% saved)

simplify187.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/12 binary64)))
	cost-diff	0	(*.f64 #s(literal -1/6 binary64) eps)
	cost-diff	0	(cos.f64 x)
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
	cost-diff	-6272	(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓	cost-diff	-6272	(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) eps)
✓	cost-diff	-6272	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓	cost-diff	0	(+.f64 eps x)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓	cost-diff	128	(*.f64 eps #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))

Rules

1766×	`fma-define`
418×	`fma-neg`
395×	`distribute-lft-neg-in`
361×	`sub-neg`
338×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	703
1	104	687
2	303	687
3	758	672
4	1674	672
5	2373	672
6	2578	672
7	2754	672
8	3010	672
9	3218	672
10	4714	672
11	6112	672
12	6712	672
13	7710	672

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(sin.f64 x)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
(*.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
eps
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
#s(literal 1 binary64)
(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
x
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
#s(literal -1/2 binary64)
(+.f64 eps x)
(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
eps
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
x
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
eps
(+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))))
(cos.f64 x)
x
(.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
#s(literal -1/6 binary64)
(.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)

Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(sin.f64 x)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
(*.f64 eps #s(literal 1 binary64))
eps
eps
#s(literal 1 binary64)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
(.f64 (+.f64 eps x) (.f64 x #s(literal -1/2 binary64)))
x
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
#s(literal -1/2 binary64)
(+.f64 eps x)
(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
eps
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))))
(.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))) (cos.f64 x))
(cos.f64 x)
x
(.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64)))
(fma.f64 eps #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)

localize252.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/12 binary64))
	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) eps)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) eps)
✓	accuracy	100.0%	(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
	accuracy	99.9%	(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓	accuracy	100.0%	(*.f64 eps #s(literal 1 binary64))
	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
✓	accuracy	99.9%	(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
✓	accuracy	54.2%	(+.f64 #s(literal -1 binary64) (cos.f64 eps))

Results

189.0ms	251×	1	valid
3.0ms	2×	3	valid
1.0ms	3×	0	valid

Compiler

Compiled 206 to 35 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 37.0ms (33.3% of total)

backward-pass: 18.0ms (16.2% of total)

ival-cos: 17.0ms (15.3% of total)

ival-add: 14.0ms (12.6% of total)

ival-sin: 9.0ms (8.1% of total)

...c/correct-round.rkt:121:19: 8.0ms (7.2% of total)

ival-fma: 5.0ms (4.5% of total)

ival-sub: 3.0ms (2.7% of total)

const: 1.0ms (0.9% of total)

series85.0ms (0.6%)

Counts

14 → 282

Calls

Call 1

Inputs
#<alt (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))>
#<alt (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))>
#<alt (*.f64 eps #s(literal 1 binary64))>
#<alt (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))>
#<alt (+.f64 eps x)>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))>
#<alt (.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)>
#<alt (.f64 x (.f64 x #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (+.f64 #s(literal -1 binary64) (cos.f64 eps))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))>

Outputs
#<alt (*.f64 eps (cos.f64 x))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/6 binary64) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/120 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))))) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (sin.f64 x)) (.f64 #s(literal 1/40320 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<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 (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
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#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/12 binary64) eps))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/12 binary64) eps))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) eps) (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) eps) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) eps) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>

Calls

72 calls:

Time	Variable		Point	Expression
53.0ms	eps	@	0	(* eps (+ 1 (* x (* -1/2 (+ eps x)))))
1.0ms	eps	@	0	(* eps (+ (* -1/6 eps) (* x (- (* x (* x 1/12)) 1/2))))
1.0ms	eps	@	-inf	(* eps (cos (+ (* 1/2 eps) x)))
1.0ms	x	@	-inf	(* eps (+ (* -1/6 eps) (* x (- (* x (* x 1/12)) 1/2))))
1.0ms	x	@	inf	(* eps (+ (* -1/6 eps) (* x (- (* x (* x 1/12)) 1/2))))

rewrite132.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

311×	`associate-r`
288×	`log1p-expm1-u`
288×	`expm1-log1p-u`
284×	`add-cube-cbrt`
281×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	353
1	631	339

Stop Event

1×	node limit

Counts

14 → 340

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(*.f64 eps #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
(+.f64 eps x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))

Outputs
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal -1 binary64))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) #s(literal -1 binary64)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (sin.f64 x) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (sin.f64 x) #s(literal -1 binary64))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 x (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 eps (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) eps) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(+.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x) (.f64 (.f64 x #s(literal -1/2 binary64)) eps))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(+.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(-.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (+.f64 eps x)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64))
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(exp.f64 (log.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 eps #s(literal -1/6 binary64)) eps (.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps))

simplify688.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-neg`
705×	`fma-define`
426×	`*-commutative`
338×	`distribute-rgt-in`
326×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1064	22568
1	2917	21715
2	7753	21691

Stop Event

1×	node limit

Counts

622 → 633

Calls

Call 1

Inputs
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/6 binary64) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/120 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (sin.f64 x)) (.f64 #s(literal 1/40320 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 #s(literal -1/2 binary64) eps)
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
x
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
eps
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
eps
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))
(.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))))
(.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))))
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(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) (sqrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))
(+.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps))
(+.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps)) (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps))) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps)))
(pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 eps #s(literal -1/6 binary64)) eps (.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps))

Outputs
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 eps #s(literal -1/6 binary64)) (cos.f64 x))))))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (sin.f64 x) (.f64 eps #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)) #s(literal -1 binary64))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/6 binary64) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 (.f64 #s(literal -1/6 binary64) x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (sin.f64 eps))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 x (+.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(.f64 x (+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(.f64 x (+.f64 (cos.f64 eps) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64)))) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/120 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))))) #s(literal 1 binary64)))
(.f64 x (+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 #s(literal 1/120 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))))) #s(literal 1 binary64))))
(.f64 x (+.f64 (cos.f64 eps) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps)))) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
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(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (pow.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (-.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (.f64 (.f64 eps x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 eps x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 (.f64 eps x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (.f64 eps (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/36 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 eps x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps))) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)) (.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/36 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 eps x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64)))))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) (.f64 eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))
(fma.f64 (.f64 eps #s(literal -1/6 binary64)) eps (.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps))
(.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))

eval111.0ms (0.8%)

Compiler: Compiled 15042 to 3366 computations (77.6% saved)

prune118.0ms (0.8%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	821	4	825
Fresh	0	7	7
Picked	2	3	5
Done	0	7	7
Total	823	21	844

Accuracy

100.0%

Counts

844 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.3%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	63.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.1%	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	99.7%	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
	99.4%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
✓	99.1%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
	99.2%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) #s(literal 1/2 binary64)))))))
✓	99.7%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
	99.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/6 binary64) eps)))))
✓	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
	98.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
	5.7%	(.f64 eps (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
	99.2%	(.f64 eps (.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
✓	99.4%	(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
	98.3%	(.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
	99.0%	(*.f64 eps (cos.f64 x))
✓	98.3%	(sin.f64 eps)
	98.3%	eps

Compiler

Compiled 620 to 326 computations (47.4% saved)

regimes26.0ms (0.2%)

Counts

29 → 1

Calls

Call 1

Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(.f64 eps (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/6 binary64) eps)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

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

Calls

3 calls:

9.0ms	eps
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(.f64 eps (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/6 binary64) eps)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(.f64 eps (.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))

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

Calls

3 calls:

7.0ms	eps
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(.f64 eps (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64))))

Outputs
(*.f64 eps (cos.f64 x))

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(.f64 eps (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)

Outputs
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes103.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

101.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -59.2b remaining (-5366.1%)

Threshold costs -59.2b (-5366.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
8×	`+-commutative`
3×	`1-exp`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	251
1	70	251
2	74	251
3	76	251
4	77	251

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
eps

Outputs
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(.f64 eps (cos.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
eps

soundness971.0ms (6.8%)

Rules

978×	`log1p-expm1-u`
978×	`expm1-log1p-u`
826×	`fma-neg`
705×	`fma-define`
654×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1064	22568
1	2917	21715
2	7753	21691
0	1467	31460
1	3806	30457
0	39	555
1	629	495
0	542	10705
1	1219	10322
2	3576	9977
0	12	68
1	160	68
2	2460	68

Stop Event

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

Compiler

Compiled 694 to 234 computations (66.3% saved)

preprocess65.0ms (0.5%)

Compiler: Compiled 182 to 98 computations (46.2% saved)

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210

Iter	Nodes	Cost
0	12	76
1	15	76
2	20	76
3	28	76
4	37	76
5	54	76
6	92	76
7	132	76
8	180	76
9	215	76
10	241	76
11	243	76

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210

Iter	Nodes	Cost
0	12	76
1	15	76
2	20	76
3	28	76
4	37	76
5	54	76
6	92	76
7	132	76
8	180	76
9	215	76
10	241	76
11	243	76

analyze55.0ms (0.4%)

sample7.8s (54.3%)

preprocess113.0ms (0.8%)

explain120.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.1%)

localize41.0ms (0.3%)

series11.0ms (0.1%)

rewrite257.0ms (1.8%)

simplify151.0ms (1.1%)

eval44.0ms (0.3%)

prune77.0ms (0.5%)

simplify422.0ms (3%)

localize239.0ms (1.7%)

series78.0ms (0.5%)

rewrite189.0ms (1.3%)

simplify321.0ms (2.3%)

eval148.0ms (1%)

prune150.0ms (1.1%)

simplify135.0ms (0.9%)

localize205.0ms (1.4%)

series63.0ms (0.4%)

rewrite185.0ms (1.3%)

simplify399.0ms (2.8%)

eval130.0ms (0.9%)

prune193.0ms (1.4%)

simplify187.0ms (1.3%)

localize252.0ms (1.8%)

series85.0ms (0.6%)

rewrite132.0ms (0.9%)

simplify688.0ms (4.8%)

eval111.0ms (0.8%)

prune118.0ms (0.8%)

regimes26.0ms (0.2%)

regimes19.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes103.0ms (0.7%)

regimes4.0ms (0%)

simplify5.0ms (0%)

soundness971.0ms (6.8%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	226
1	49	210
2	101	210
3	201	210
4	378	210
5	481	210
6	638	210
7	720	210
8	762	210
9	768	210

Iter	Nodes	Cost
0	12	76
1	15	76
2	20	76
3	28	76
4	37	76
5	54	76
6	92	76
7	132	76
8	180	76
9	215	76
10	241	76
11	243	76