Metrics for 2cos (problem 3.3.5)

analyze57.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions

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

ival-cos: 8.0ms (23.1% of total)

...c/correct-round.rkt:129:19: 7.0ms (20.2% of total)

ival-add: 3.0ms (8.7% of total)

ival-mult: 3.0ms (8.7% of total)

ival-<=: 3.0ms (8.7% of total)

ival-<: 3.0ms (8.7% of total)

ival-fabs: 2.0ms (5.8% of total)

ival-sub: 2.0ms (5.8% of total)

ival-and: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

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

sample8.3s (56.9%)

Results

5.2s	26535×	0	precondition
1.5s	8241×	0	valid
6.0ms	13×	1	valid
2.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 5.6s

ival-cos: 2.0s (36.2% of total)

...c/correct-round.rkt:129:19: 721.0ms (12.9% of total)

ival-add: 660.0ms (11.9% of total)

ival-<: 541.0ms (9.7% of total)

ival-sub: 527.0ms (9.5% of total)

ival-<=: 377.0ms (6.8% of total)

ival-mult: 291.0ms (5.2% of total)

ival-fabs: 255.0ms (4.6% of total)

ival-and: 120.0ms (2.2% of total)

const: 50.0ms (0.9% of total)

backward-pass: 14.0ms (0.3% of total)

Bogosity

preprocess73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

explain189.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

144.0ms	488×	0	valid
9.0ms	20×	1	valid
3.0ms	4×	2	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-cos: 31.0ms (78.4% of total)

ival-add: 3.0ms (7.6% of total)

ival-sub: 3.0ms (7.6% of total)

backward-pass: 1.0ms (2.5% of total)

const: 1.0ms (2.5% 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
▶	50.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize73.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	50.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

60.0ms	244×	0	valid
5.0ms	10×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 17.0ms (79% of total)

ival-add: 2.0ms (9.3% of total)

ival-sub: 2.0ms (9.3% of total)

backward-pass: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

4 → 76

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(- (cos (+ x eps)) (cos x))
1.0ms	eps	@	inf	(- (cos (+ x eps)) (cos x))
1.0ms	x	@	0	(- (cos (+ x eps)) (cos x))
0.0ms	x	@	-inf	(- (cos (+ x eps)) (cos x))
0.0ms	eps	@	-inf	(- (cos (+ x eps)) (cos x))

rewrite337.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	161	68
2	2458	68

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

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

simplify217.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-lft-in`
524×	`fma-neg`
518×	`distribute-rgt-in`
481×	`times-frac`
314×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	11647
1	1197	11110
2	3328	10801

Stop Event

1×	node limit

Counts

306 → 346

Calls

Call 1

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

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

eval126.0ms (0.9%)

Compiler: Compiled 5791 to 1041 computations (82% saved)

prune51.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	341	5	346
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	341	6	347

Accuracy

99.7%

Counts

347 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	50.2%	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶	80.3%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.7%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
▶	79.4%	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	99.5%	(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))

Compiler

Compiled 139 to 100 computations (28.1% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

644×	`sub-neg`
465×	`distribute-lft-neg-in`
370×	`associate-r`
367×	`neg-sub0`
350×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	622
1	91	622
2	164	604
3	290	562
4	512	562
5	1456	562
6	5079	562
7	7864	562

Stop Event

1×	node limit

Calls

Call 1

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

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

localize202.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓	accuracy	61.0%	(+.f64 x (-.f64 eps x))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
✓	accuracy	99.8%	(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(*.f64 (neg.f64 eps) (sin.f64 x))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	51.6%	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
✓	accuracy	100.0%	(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
✓	accuracy	100.0%	(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))

Results

144.0ms	241×	0	valid
12.0ms	14×	1	valid
3.0ms	1×	3	valid

Compiler

Compiled 205 to 37 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-sub: 26.0ms (24.5% of total)

ival-mult: 24.0ms (22.6% of total)

ival-sin: 22.0ms (20.7% of total)

ival-cos: 20.0ms (18.8% of total)

ival-add: 5.0ms (4.7% of total)

ival-fma: 4.0ms (3.8% of total)

backward-pass: 2.0ms (1.9% of total)

const: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

series62.0ms (0.4%)

Counts

21 → 381

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(* (sin (* 1/2 (+ (* 2 x) eps))) (* -2 (sin (+ (* 1/2 eps) 0))))
3.0ms	eps	@	0	(* -1/2 eps)
3.0ms	x	@	-inf	(* (neg eps) (sin x))
3.0ms	eps	@	inf	(* eps (- (* (* -1/2 eps) (cos x)) (sin x)))
2.0ms	eps	@	-inf	(* (sin (* 1/2 (+ (* 2 x) eps))) (* -2 (sin (+ (* 1/2 eps) 0))))

rewrite143.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`log1p-expm1-u`
302×	`expm1-log1p-u`
297×	`add-cube-cbrt`
295×	`add-exp-log`
295×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	571
1	718	391

Stop Event

1×	node limit

Counts

21 → 509

Calls

Call 1

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

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

simplify263.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-define`
443×	`distribute-lft-in`
426×	`distribute-rgt-in`
383×	`*-commutative`
294×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1043	22390
1	2675	20981

Stop Event

1×	node limit

Counts

890 → 624

Calls

Call 1

Inputs
(.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
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(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #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))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(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)))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))

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

eval92.0ms (0.6%)

Compiler: Compiled 12004 to 2648 computations (77.9% saved)

prune109.0ms (0.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	649	17	666
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	653	19	672

Accuracy

100.0%

Counts

672 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
✓	50.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	99.2%	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	98.8%	(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
	98.9%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
▶	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.6%	(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
	98.7%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
▶	99.6%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
	99.7%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x)))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
✓	79.4%	(*.f64 (neg.f64 eps) (sin.f64 x))
	78.9%	(*.f64 (neg.f64 eps) x)
	99.4%	(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
	98.8%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	99.2%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
▶	98.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
	99.5%	(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
	51.3%	(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
▶	50.2%	#s(literal 0 binary64)

Compiler

Compiled 518 to 371 computations (28.4% saved)

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(*.f64 #s(literal -1 binary64) eps)
✓	cost-diff	192	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))
✓	cost-diff	192	(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))
✓	cost-diff	512	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x eps)
	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
	cost-diff	128	(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓	cost-diff	128	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 eps x))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) eps)
✓	cost-diff	-6144	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(*.f64 eps #s(literal 1/2 binary64))
✓	cost-diff	0	(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))

Rules

773×	`fma-neg`
702×	`fma-define`
649×	`sub-neg`
475×	`distribute-lft-neg-in`
452×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	891
1	118	885
2	276	875
3	610	813
4	1306	798
5	3266	786
6	7711	786

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
x
#s(literal -2 binary64)
#s(literal 0 binary64)
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
eps
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
x
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
#s(literal 1/4 binary64)
(*.f64 eps x)
#s(literal 1 binary64)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(sin.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
(neg.f64 eps)
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
x
(+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 eps x))
#s(literal 1/6 binary64)
(*.f64 eps x)
(*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/4 binary64)

Outputs
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal -2 binary64)
#s(literal 0 binary64)
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))
eps
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))
(fma.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(*.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 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))
(.f64 x (fma.f64 eps (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
x
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
(.f64 eps (.f64 x #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 eps x)
#s(literal 1 binary64)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (neg.f64 eps))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (neg.f64 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
x
eps
(neg.f64 eps)
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps)))
(.f64 x (fma.f64 x (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps)))
(.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps)))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (.f64 (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) x))
x
(+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps))
(fma.f64 x (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps))
(fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (neg.f64 eps))
(.f64 eps (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) eps)
(neg.f64 eps)
#s(literal -1 binary64)
(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))))
(.f64 eps (.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) x))
(.f64 (.f64 eps x) (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 1/6 binary64))))
(.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 eps x)
(*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/4 binary64)

localize181.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))
✓	accuracy	99.8%	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 eps x))
✓	accuracy	99.7%	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
	accuracy	100.0%	(neg.f64 eps)
	accuracy	100.0%	(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) eps)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))

Results

123.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 275 to 42 computations (84.7% saved)

Precisions

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

ival-mult: 33.0ms (43% of total)

ival-add: 20.0ms (26% of total)

...c/correct-round.rkt:129:19: 7.0ms (9.1% of total)

ival-sin: 6.0ms (7.8% of total)

ival-pow: 5.0ms (6.5% of total)

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

const: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

series58.0ms (0.4%)

Counts

20 → 306

Calls

Call 1

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

Outputs
#<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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (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 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))>
#<alt (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))>
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#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) eps))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (.f64 #s(literal 1/4 binary64) eps)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (.f64 #s(literal 1/4 binary64) eps)))>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps x))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps x))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>

Calls

105 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
4.0ms	eps	@	inf	(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
3.0ms	eps	@	-inf	(* eps x)
2.0ms	eps	@	0	(* 1/6 (* eps x))
2.0ms	eps	@	-inf	(+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))

rewrite163.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

330×	`log1p-expm1-u`
330×	`expm1-log1p-u`
321×	`add-cube-cbrt`
319×	`add-exp-log`
319×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	580
1	778	566

Stop Event

1×	node limit

Counts

20 → 394

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
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(-.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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)) x (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 eps x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 eps x))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (*.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))

simplify385.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-define`
730×	`fma-neg`
338×	`distribute-rgt-in`
332×	`distribute-lft-in`
273×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1192	28432
1	3111	27547
2	7848	27493

Stop Event

1×	node limit

Counts

700 → 785

Calls

Call 1

Inputs
(*.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)))))
(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 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))
(.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
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(-.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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 eps #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)) x (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 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 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 eps x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 eps x))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (*.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))

Outputs
(*.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 (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 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)) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64))) #s(literal -1/48 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 -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(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 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(.f64 eps (-.f64 (.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (sin.f64 x) #s(literal -1/12 binary64)))) (neg.f64 (sin.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))))))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -2 binary64) (sin.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)) (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(expm1.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 eps x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 eps x))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(pow.f64 (cbrt.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(pow.f64 (sqrt.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(sqrt.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 eps (.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(fabs.f64 (.f64 eps (.f64 x #s(literal 1/6 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (*.f64 eps x)))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)))))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(cbrt.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 x #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))

eval144.0ms (1%)

Compiler: Compiled 20325 to 3972 computations (80.5% saved)

prune144.0ms (1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	959	11	970
Fresh	8	4	12
Picked	2	3	5
Done	0	2	2
Total	969	20	989

Accuracy

100.0%

Counts

989 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 eps x))
✓	50.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	99.1%	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (.f64 eps (.f64 x #s(literal 1/6 binary64)))))))
	98.2%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	98.8%	(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.6%	(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
▶	99.5%	(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
	99.5%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (neg.f64 eps))
✓	79.4%	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	78.9%	(*.f64 (neg.f64 eps) x)
	98.8%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
▶	99.2%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
✓	98.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
	98.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
	98.7%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
▶	51.6%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
	98.7%	(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/4 binary64) eps))))
	51.3%	(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
✓	50.2%	#s(literal 0 binary64)

Compiler

Compiled 511 to 364 computations (28.8% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6016	(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	(/.f64 eps x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
✓	cost-diff	-6272	(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) eps)
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
	cost-diff	0	(*.f64 #s(literal -1/2 binary64) eps)
	cost-diff	0	(*.f64 eps x)
	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 eps x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))
	cost-diff	0	(*.f64 #s(literal -1/2 binary64) eps)
	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	(*.f64 (neg.f64 eps) x)
✓	cost-diff	-6272	(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓	cost-diff	-6272	(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) eps)

Rules

872×	`fma-define`
461×	`distribute-rgt-neg-in`
447×	`distribute-lft-neg-in`
366×	`times-frac`
281×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	713
1	107	709
2	243	699
3	593	691
4	1287	691
5	2700	691
6	5297	691

Stop Event

1×	node limit

Calls

Call 1

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

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

localize162.0ms (1.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
✓	accuracy	99.6%	(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))
✓	accuracy	99.5%	(*.f64 #s(literal 1/6 binary64) x)
	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (.f64 eps x))
	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) eps)
✓	accuracy	100.0%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))
✓	accuracy	100.0%	(*.f64 (neg.f64 eps) x)
	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) eps)
	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓	accuracy	99.8%	(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))

Results

103.0ms	253×	0	valid
4.0ms	3×	3	exit

Compiler

Compiled 229 to 34 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 35.0ms (54.4% of total)

ival-add: 12.0ms (18.6% of total)

...c/correct-round.rkt:129:19: 7.0ms (10.9% of total)

ival-sin: 4.0ms (6.2% of total)

ival-div: 2.0ms (3.1% of total)

const: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

backward-pass: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

series47.0ms (0.3%)

Counts

16 → 240

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/8 binary64) (.f64 eps (sin.f64 x)))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps x))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/8 binary64) (.f64 eps (sin.f64 x)))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 eps x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 eps x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 eps x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/4 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/4 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/4 binary64))))>
#<alt (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))>
#<alt (.f64 #s(literal 1/6 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 -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (.f64 #s(literal -1/6 binary64) eps))))>
#<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 eps x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (.f64 #s(literal -1/6 binary64) eps))))>
#<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 eps (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/6 binary64) eps))))>
#<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 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))))>
#<alt (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))>
#<alt (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))>
#<alt (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))>
#<alt (sin.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))>

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* 1/6 x) (* 1/4 eps))
1.0ms	x	@	-inf	(* (sin (* x (+ 1 (* 1/2 (/ eps x))))) (neg eps))
1.0ms	eps	@	0	(* x (* 1/4 (* eps x)))
1.0ms	eps	@	inf	(* (sin (* x (+ 1 (* 1/2 (/ eps x))))) (neg eps))
1.0ms	eps	@	-inf	(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))

rewrite142.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	441
1	683	417

Stop Event

1×	node limit

Counts

16 → 296

Calls

Call 1

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

Outputs
(-.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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 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 #s(literal 1/2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 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 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))
(neg.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))))
(pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(cbrt.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log1p.f64 (expm1.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(exp.f64 (log.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(neg.f64 (*.f64 eps x))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x))))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (.f64 (log.f64 (.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x))))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 1/4 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 eps x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 eps #s(literal 1/4 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) (.f64 #s(literal 1/4 binary64) (.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 x (.f64 eps #s(literal 1/4 binary64))) (.f64 x (.f64 eps #s(literal 1/4 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (*.f64 eps #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) (.f64 #s(literal 1/4 binary64) (.f64 eps x))))))
(pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))))))
(exp.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)))
(*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)))
(pow.f64 (/.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps x))))
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 eps x)))
(log1p.f64 (expm1.f64 (/.f64 eps x)))
(exp.f64 (log.f64 (/.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(pow.f64 (.f64 eps (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x)) (.f64 x (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))) (.f64 (cos.f64 x) (sin.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))))
(+.f64 (.f64 (sin.f64 (.f64 x #s(literal 1 binary64))) (cos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))) (.f64 (cos.f64 (.f64 x #s(literal 1 binary64))) (sin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64)))

simplify259.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

514×	`fma-define`
479×	`fma-neg`
404×	`cancel-sign-sub-inv`
381×	`*-commutative`
214×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	905	18369
1	2314	17685
2	5585	17341

Stop Event

1×	node limit

Counts

536 → 521

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/8 binary64) (.f64 eps (sin.f64 x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x))))))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
(.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/4 binary64) x)))
(.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/4 binary64) x)))
(.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/4 binary64) x)))
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
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(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))) (.f64 (cos.f64 x) (sin.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))))
(+.f64 (.f64 (sin.f64 (.f64 x #s(literal 1 binary64))) (cos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))) (.f64 (cos.f64 (.f64 x #s(literal 1 binary64))) (sin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/8 binary64) (.f64 eps (sin.f64 x)))))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (.f64 eps (sin.f64 x)) #s(literal 1/8 binary64))))))
(.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal 1/8 binary64))))) (sin.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 eps (sin.f64 x)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))
(.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/48 binary64) (.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/8 binary64))))))))
(.f64 eps (-.f64 (.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/8 binary64) (.f64 (cos.f64 x) (.f64 eps #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/8 binary64) (.f64 (cos.f64 x) (.f64 eps #s(literal 1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (neg.f64 eps) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 eps (neg.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(fma.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (neg.f64 eps) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(.f64 (neg.f64 eps) (fma.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 eps x))) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 eps (neg.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(fma.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))))))
(-.f64 (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps #s(literal 1/6 binary64))))) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps #s(literal 1/6 binary64)))) (.f64 eps (neg.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 eps (neg.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x)))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 eps (fma.f64 (.f64 eps (sin.f64 x)) #s(literal -1/8 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/8 binary64)))) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (sin.f64 x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x))))))))
(+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 (.f64 eps (cos.f64 x)) #s(literal -1/48 binary64)))))))
(fma.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/8 binary64) (.f64 (cos.f64 x) (.f64 eps #s(literal -1/48 binary64)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))))
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(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) eps (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) eps))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
(+.f64 x (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 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 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x)) (.f64 x (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 x x (.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) x) x) (-.f64 (/.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) x) x) x))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))))) (fma.f64 (/.f64 (.f64 x (.f64 eps #s(literal 1/2 binary64))) x) (.f64 x (-.f64 (.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (*.f64 eps #s(literal 1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 x x (.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) x) x) (-.f64 (/.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) x) x) x))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))))) (fma.f64 (/.f64 (.f64 x (.f64 eps #s(literal 1/2 binary64))) x) (.f64 x (-.f64 (.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (*.f64 eps #s(literal 1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1 binary64) (.f64 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)
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))) (.f64 (cos.f64 x) (sin.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) eps) x) x))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 x #s(literal 1 binary64))) (cos.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))) (.f64 (cos.f64 (.f64 x #s(literal 1 binary64))) (sin.f64 (.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) eps) x)))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(.f64 (sqrt.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))

eval102.0ms (0.7%)

Compiler: Compiled 13332 to 2891 computations (78.3% saved)

prune196.0ms (1.3%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	767	2	769
Fresh	0	10	10
Picked	0	5	5
Done	1	4	5
Total	768	21	789

Accuracy

100.0%

Counts

789 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 eps x))
✓	50.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	99.1%	(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (.f64 eps (.f64 x #s(literal 1/6 binary64)))))))
	98.2%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	98.8%	(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	99.6%	(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
✓	99.5%	(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
	99.5%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (neg.f64 eps))
✓	79.4%	(*.f64 (neg.f64 eps) (sin.f64 x))
✓	78.9%	(*.f64 (neg.f64 eps) x)
	98.8%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
✓	99.2%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
	99.2%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
	98.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
	98.7%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
✓	51.6%	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
	98.7%	(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/4 binary64) eps))))
	51.3%	(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
	49.4%	(*.f64 eps x)
✓	50.2%	#s(literal 0 binary64)

Compiler

Compiled 750 to 365 computations (51.3% saved)

regimes33.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (neg.f64 eps))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (.f64 eps (.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/4 binary64) eps))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x)))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))

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

Calls

3 calls:

13.0ms	eps
10.0ms	x
8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (neg.f64 eps))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (.f64 eps (.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/4 binary64) eps))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x)))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))

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

Calls

3 calls:

10.0ms	x
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
9.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (neg.f64 eps))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(.f64 (sin.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) eps) (.f64 x (.f64 eps (.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/4 binary64) eps))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))

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

Calls

2 calls:

7.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(.f64 eps (.f64 eps #s(literal 1/2 binary64)))

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

Calls

2 calls:

5.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
78.9%	1	`x`
78.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.5b remaining (-1.7%)

Threshold costs -0.5b (-1.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps x)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
50.2%	1	`x`
50.2%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
17×	`+-commutative`
16×	`neg-mul-1`
15×	`unsub-neg`
10×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	378
1	111	378
2	131	378
3	150	378
4	176	378
5	213	378
6	215	378

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) x)
#s(literal 0 binary64)

Outputs
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(.f64 (sin.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 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 x x))))))
(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps))
(.f64 eps (neg.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x eps)) #s(literal 1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x eps)) #s(literal -1 binary64)))))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
#s(literal 0 binary64)

soundness1.8s (12.3%)

Rules

974×	`log1p-expm1-u`
974×	`expm1-log1p-u`
856×	`fma-define`
601×	`distribute-lft-in`
524×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	571
1	718	391
0	1043	22390
1	2675	20981
0	552	11647
1	1197	11110
2	3328	10801
0	12	68
1	161	68
2	2458	68
0	905	18369
1	2314	17685
2	5585	17341

Stop Event

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

Compiler

Compiled 893 to 321 computations (64.1% saved)

preprocess67.0ms (0.5%)

Compiler: Compiled 250 to 134 computations (46.4% saved)

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

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

Iter	Nodes	Cost
0	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

analyze57.0ms (0.4%)

sample8.3s (56.9%)

preprocess73.0ms (0.5%)

explain189.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize73.0ms (0.5%)

series9.0ms (0.1%)

rewrite337.0ms (2.3%)

simplify217.0ms (1.5%)

eval126.0ms (0.9%)

prune51.0ms (0.3%)

simplify100.0ms (0.7%)

localize202.0ms (1.4%)

series62.0ms (0.4%)

rewrite143.0ms (1%)

simplify263.0ms (1.8%)

eval92.0ms (0.6%)

prune109.0ms (0.7%)

simplify101.0ms (0.7%)

localize181.0ms (1.2%)

series58.0ms (0.4%)

rewrite163.0ms (1.1%)

simplify385.0ms (2.6%)

eval144.0ms (1%)

prune144.0ms (1%)

simplify82.0ms (0.6%)

localize162.0ms (1.1%)

series47.0ms (0.3%)

rewrite142.0ms (1%)

simplify259.0ms (1.8%)

eval102.0ms (0.7%)

prune196.0ms (1.3%)

regimes33.0ms (0.2%)

regimes31.0ms (0.2%)

regimes21.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes7.0ms (0%)

regimes3.0ms (0%)

simplify10.0ms (0.1%)

soundness1.8s (12.3%)

preprocess67.0ms (0.5%)

end0.0ms (0%)

Profiling

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

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