Metrics for sintan (problem 3.4.5)

analyze366.0ms (1.9%)

Memory

39.9MiB live, 426.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.9%	50.1%	0%	0%	0%	0
0%	0%	49.9%	50.1%	0%	0%	0%	1
0%	0%	49.9%	50.1%	0%	0%	0%	2
0%	0%	49.9%	50.1%	0%	0%	0%	3
0%	0%	49.9%	50.1%	0%	0%	0%	4
0%	0%	49.9%	50.1%	0%	0%	0%	5
0%	0%	49.9%	50.1%	0%	0%	0%	6
0%	0%	49.9%	50.1%	0%	0%	0%	7
0%	0%	49.9%	50.1%	0%	0%	0%	8
0%	0%	49.9%	50.1%	0%	0%	0%	9
0%	0%	49.9%	50.1%	0%	0%	0%	10
0%	0%	49.9%	50.1%	0%	0%	0%	11
0%	0%	49.9%	50.1%	0%	0%	0%	12

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.3s (47%)

Memory

47.1MiB live, 10 546.6MiB allocated

Samples

6.6s	4 499×	2	valid
1.5s	1 175×	3	valid
738.0ms	2 472×	1	valid
10.0ms	110×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.3s

ival-tan: 4.5s (53.7% of total)

ival-sin: 2.6s (31.1% of total)

adjust: 359.0ms (4.3% of total)

const: 359.0ms (4.3% of total)

ival-sub: 349.0ms (4.2% of total)

ival-div: 113.0ms (1.4% of total)

ival-<=: 66.0ms (0.8% of total)

ival-and: 12.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

preprocess76.0ms (0.4%)

Memory

6.9MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Rules

320×	`lower-fma.f64`
320×	`lower-fma.f32`
192×	`lower-*.f64`
192×	`lower-*.f32`
144×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Symmetry

(abs eps)

explain682.0ms (3.4%)

Memory

-21.8MiB live, 670.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
160	0	-	-	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
95	0	-	-	`(-.f64 eps (tan.f64 eps))`
94	1	(6.382894325532866e-108)	-	`(-.f64 eps (sin.f64 eps))`
0	0	-	-	`(tan.f64 eps)`
0	0	-	-	`eps`
0	0	-	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	160	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	160
↳	`(-.f64 eps (tan.f64 eps))`	underflow	160
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	95	1
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	95	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	1	0

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
0	1
1	160
2	95

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

478.0ms	270×	2	valid
41.0ms	172×	1	valid
40.0ms	62×	3	valid
1.0ms	8×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

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

ival-tan: 316.0ms (60.7% of total)

ival-sin: 168.0ms (32.3% of total)

adjust: 16.0ms (3.1% of total)

ival-sub: 14.0ms (2.7% of total)

ival-div: 7.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify28.0ms (0.1%)

Memory

11.1MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 eps (tan.f64 eps))
✓	cost-diff	(sin.f64 eps)
✓	cost-diff	(-.f64 eps (sin.f64 eps))
✓	cost-diff	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Rules

320×	`lower-fma.f64`
320×	`lower-fma.f32`
192×	`lower-*.f64`
192×	`lower-*.f32`
144×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize263.0ms (1.3%)

Memory

25.5MiB live, 458.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	66.8%	(-.f64 eps (tan.f64 eps))
✓	accuracy	66.7%	(-.f64 eps (sin.f64 eps))
✓	accuracy	37.9%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

211.0ms	135×	2	valid
24.0ms	31×	3	valid
16.0ms	86×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-tan: 138.0ms (57.9% of total)

ival-sin: 80.0ms (33.6% of total)

adjust: 9.0ms (3.8% of total)

ival-sub: 8.0ms (3.4% of total)

ival-div: 3.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series5.0ms (0%)

Memory

-27.5MiB live, 10.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (-.f64 eps (tan.f64 eps))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(- eps (sin eps))
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms	eps	@	-inf	(- eps (tan eps))

simplify420.0ms (2.1%)

Memory

23.4MiB live, 813.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 288×	`lower-fma.f64`
12 288×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
1 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5650	444
0	8479	418

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 eps (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal -1/3 binary64))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))

rewrite348.0ms (1.8%)

Memory

31.3MiB live, 455.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 318×	`lower-*.f64`
4 318×	`lower-*.f32`
3 264×	`lower-/.f32`
3 262×	`lower-/.f64`
2 758×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	11	19
1	51	19
2	408	19
3	5947	19
0	8258	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 419

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps eps)) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps eps)))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 eps (tan.f64 eps))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps))
(+.f64 (.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) (.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(+.f64 (.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps))))
(-.f64 (/.f64 (/.f64 (.f64 eps eps) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))))
(-.f64 (/.f64 (.f64 eps eps) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))))
(-.f64 (/.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (+.f64 eps (sin.f64 eps))) (.f64 (.f64 eps eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (+.f64 eps (sin.f64 eps))) (.f64 (.f64 eps eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (+.f64 eps (sin.f64 eps)))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (+.f64 eps (sin.f64 eps)))))
(fma.f64 eps (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 eps (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(fma.f64 eps (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(fma.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(fma.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(fma.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(fma.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(fma.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(fma.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (/.f64 eps (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (/.f64 eps (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(fma.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (/.f64 eps (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(fma.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(fma.f64 (+.f64 eps (tan.f64 eps)) (/.f64 eps (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 (+.f64 eps (tan.f64 eps)) (/.f64 eps (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(fma.f64 (+.f64 eps (tan.f64 eps)) (/.f64 eps (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(fma.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(fma.f64 (/.f64 eps (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
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(/.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(/.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))
(/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))
(/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))))
(/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 eps eps) (neg.f64 (*.f64 eps (tan.f64 eps))))))
(/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))
(/.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (+.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (fma.f64 eps (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (+.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 eps (tan.f64 eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 eps (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (.f64 eps eps) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))) (+.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (+.f64 (fma.f64 eps (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 1 binary64)))
(.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))))
(*.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64)))
(*.f64 (+.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
(.f64 (+.f64 eps (tan.f64 eps)) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
(*.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
(.f64 (neg.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))
(.f64 (+.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (.f64 eps eps)))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (.f64 eps eps)) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))

eval55.0ms (0.3%)

Memory: -8.5MiB live, 82.4MiB allocated
Compiler: Compiled 12 477 to 1 225 computations (90.2% saved)

prune63.0ms (0.3%)

Memory

-17.9MiB live, 144.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	454	8	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	454	9	463

Accuracy

100.0%

Counts

463 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.0%	(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	0.5%	(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
	1.7%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	0.5%	(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 308 to 180 computations (41.6% saved)

simplify273.0ms (1.4%)

Memory

1.4MiB live, 352.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
✓	cost-diff	128	(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	7616	(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	cost-diff	128	(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

Rules

8 062×	`lower-fma.f32`
8 050×	`lower-fma.f64`
2 972×	`lower-*.f32`
2 958×	`lower-*.f64`
1 520×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	339
0	76	332
1	159	329
2	372	329
3	946	324
4	2046	324
5	4213	324
6	7317	324
0	8151	313

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
(*.f64 eps eps)
eps
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))
(*.f64 eps eps)
eps
(/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps)))
#s(literal 1 binary64)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps)))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64)))
(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 eps eps #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (+.f64 eps (sin.f64 eps)))
(*.f64 eps eps)
eps
(/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps)))
#s(literal 1 binary64)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (+.f64 eps (sin.f64 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps)))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize979.0ms (4.9%)

Memory

12.3MiB live, 979.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	58.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
✓	accuracy	49.7%	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps)))
✓	accuracy	37.9%	(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	7.0%	(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))
✓	accuracy	99.8%	(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
✓	accuracy	73.4%	(+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
✓	accuracy	66.8%	(-.f64 eps (tan.f64 eps))
✓	accuracy	29.6%	(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal -27/2800 binary64))
✓	accuracy	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
✓	accuracy	99.9%	(*.f64 eps #s(literal 27/112000 binary64))
✓	accuracy	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

713.0ms	133×	3	valid
86.0ms	67×	2	valid
53.0ms	49×	1	valid
35.0ms	6×	4	valid
0.0ms	1×	0	valid

Compiler

Compiled 322 to 45 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 828.0ms

ival-mult: 295.0ms (35.6% of total)

ival-tan: 125.0ms (15.1% of total)

ival-sin: 125.0ms (15.1% of total)

ival-cos: 117.0ms (14.1% of total)

adjust: 52.0ms (6.3% of total)

ival-add: 45.0ms (5.4% of total)

ival-div: 24.0ms (2.9% of total)

ival-sub: 22.0ms (2.7% of total)

const: 18.0ms (2.2% of total)

ival-neg: 4.0ms (0.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series25.0ms (0.1%)

Memory

4.3MiB live, 42.4MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))>
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))>
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))>
#<alt (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))>
#<alt (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))>
#<alt (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))>
#<alt (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))>
#<alt (/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))>
#<alt (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))>
#<alt (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))>
#<alt (*.f64 eps #s(literal 27/112000 binary64))>
#<alt (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))>
#<alt (*.f64 eps #s(literal -27/2800 binary64))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps)))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* 1/3 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (pow eps 2) 1/2)>
#<alt (- (pow eps 2) 1/2)>
#<alt (- (pow eps 2) 1/2)>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2)))) (/ (sin eps) eps)))>
#<alt (* eps (- (+ 1 (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 1/2 (/ (- 1 (cos (* 2 eps))) (pow eps 2))) (/ (sin eps) eps)))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (/ (pow (sin eps) 3) eps)) (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) eps)) (sin eps)) eps)) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps)))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (pow (sin eps) 3)) eps))) (/ (* (sin eps) (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps)))) eps))) eps)))>
#<alt (* -1/2 eps)>
#<alt (* eps (- (* 1/8 (pow eps 2)) 1/2))>
#<alt (* eps (- (* (pow eps 2) (+ 1/8 (* -7/720 (pow eps 2)))) 1/2))>
#<alt (* eps (- (* (pow eps 2) (+ 1/8 (* (pow eps 2) (- (* 5/24192 (pow eps 2)) 7/720)))) 1/2))>
#<alt (* -1/2 (/ (- 1 (cos (* 2 eps))) eps))>
#<alt (/ (- (* 1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)>
#<alt (/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps)))))) eps)>
#<alt (/ (- (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)>
#<alt (* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))>
#<alt (* -1 (/ (- (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/8 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))>
#<alt (* 1/2 (/ (- 1 (cos (* 2 eps))) eps))>
#<alt (/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)>
#<alt (/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))))) eps)>
#<alt (/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)>
#<alt (* 1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))>
#<alt (* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (* 1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt -27/2800>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -2/3 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 2 (* -2/3 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 2 (* (pow eps 2) (- (* 4/45 (pow eps 2)) 2/3))))>
#<alt (* (pow eps 2) (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 4/45 (* -2/315 (pow eps 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (neg (* -2 eps))))>
#<alt (- 1 (cos (neg (* -2 eps))))>
#<alt (- 1 (cos (neg (* -2 eps))))>
#<alt (- 1 (cos (neg (* -2 eps))))>

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (+ eps eps)))) (* (- eps (tan eps)) (+ eps (sin eps))))
2.0ms	eps	@	-inf	(* eps 27/112000)
1.0ms	eps	@	-inf	(/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (+ eps eps)))) (* (- eps (tan eps)) (+ eps (sin eps))))
1.0ms	eps	@	inf	(/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (+ eps eps)))) (* (- eps (tan eps)) (+ eps (sin eps))))
1.0ms	eps	@	inf	(+ (* (* eps eps) (/ 1 (+ eps (sin eps)))) (neg (/ (- 1 (cos (+ eps eps))) (* (+ eps (sin eps)) 2))))

simplify435.0ms (2.2%)

Memory

16.2MiB live, 659.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 848×	`lower-fma.f64`
9 848×	`lower-fma.f32`
5 338×	`lower-*.f64`
5 338×	`lower-*.f32`
3 186×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	4000
1	1630	3845
2	4952	3611
0	8420	3438

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
-1/2
(- (pow eps 2) 1/2)
(- (pow eps 2) 1/2)
(- (pow eps 2) 1/2)
(pow eps 2)
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2)))) (/ (sin eps) eps)))
(* eps (- (+ 1 (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 1/2 (/ (- 1 (cos (* 2 eps))) (pow eps 2))) (/ (sin eps) eps)))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (/ (pow (sin eps) 3) eps)) (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) eps)) (sin eps)) eps)) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps)))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (pow (sin eps) 3)) eps))) (/ (* (sin eps) (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps)))) eps))) eps)))
(* -1/2 eps)
(* eps (- (* 1/8 (pow eps 2)) 1/2))
(* eps (- (* (pow eps 2) (+ 1/8 (* -7/720 (pow eps 2)))) 1/2))
(* eps (- (* (pow eps 2) (+ 1/8 (* (pow eps 2) (- (* 5/24192 (pow eps 2)) 7/720)))) 1/2))
(* -1/2 (/ (- 1 (cos (* 2 eps))) eps))
(/ (- (* 1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)
(/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps)))))) eps)
(/ (- (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)
(* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))
(* -1 (/ (- (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/8 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))
(* 1/2 (/ (- 1 (cos (* 2 eps))) eps))
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))))) eps)
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)
(* 1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))
(* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (* 1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -2/3 (pow eps 4))
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(* 2 (pow eps 2))
(* (pow eps 2) (+ 2 (* -2/3 (pow eps 2))))
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* 4/45 (pow eps 2)) 2/3))))
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 4/45 (* -2/315 (pow eps 2)))) 2/3))))
(- 1 (cos (* 2 eps)))
(- 1 (cos (* 2 eps)))
(- 1 (cos (* 2 eps)))
(- 1 (cos (* 2 eps)))
(- 1 (cos (neg (* -2 eps))))
(- 1 (cos (neg (* -2 eps))))
(- 1 (cos (neg (* -2 eps))))
(- 1 (cos (neg (* -2 eps))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
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(* 1/6 (pow eps 3))
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(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
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eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2)))) (/ (sin eps) eps)))
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(* eps (- (+ 1 (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 1/2 (/ (- 1 (cos (* 2 eps))) (pow eps 2))) (/ (sin eps) eps)))))
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eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) eps) eps))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))
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-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
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(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(* eps (- (* 1/8 (pow eps 2)) 1/2))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/8 binary64) #s(literal -1/2 binary64)))
(* eps (- (* (pow eps 2) (+ 1/8 (* -7/720 (pow eps 2)))) 1/2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -7/720 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64)))
(* eps (- (* (pow eps 2) (+ 1/8 (* (pow eps 2) (- (* 5/24192 (pow eps 2)) 7/720)))) 1/2))
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(* -1/2 (/ (- 1 (cos (* 2 eps))) eps))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64)) eps)
(/ (- (* 1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) #s(literal -1 binary64)) (cos.f64 (*.f64 eps #s(literal -2 binary64)))) eps))
(/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps)))))) eps)
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))))) eps)
(/ (- (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 eps (*.f64 eps eps)))) eps)
(* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64)) eps)
(* -1 (/ (- (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) #s(literal -1 binary64)) (cos.f64 (*.f64 eps #s(literal -2 binary64)))) eps))
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))))) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
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(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/8 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 7/720 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -5/24192 binary64) #s(literal 7/720 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (/ (- 1 (cos (* 2 eps))) eps))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64)) eps)
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)
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(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))))) eps)
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(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)
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(* 1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64)) eps)
(* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (* 1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps))) eps))
(.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) #s(literal -1 binary64)) (cos.f64 (*.f64 eps #s(literal -2 binary64)))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64)) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64)))) eps)) eps)) (neg.f64 eps))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 eps))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 eps))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 eps))) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 eps))) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 eps))) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 eps))) eps)
(* -2/3 (pow eps 4))
(.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))))
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal -19/90 binary64) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -223/2520 binary64) #s(literal -19/90 binary64)) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -8117/226800 binary64) #s(literal -223/2520 binary64)) #s(literal -19/90 binary64)) #s(literal -2/3 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(.f64 eps (fma.f64 eps (neg.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps)) eps))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(.f64 eps (fma.f64 eps (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (sin.f64 eps) (.f64 eps eps))) (/.f64 (sin.f64 eps) eps)) eps))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(.f64 eps (fma.f64 eps (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (sin.f64 eps) (.f64 eps eps))) (/.f64 (sin.f64 eps) eps)) eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(.f64 eps (fma.f64 eps (neg.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps)) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(.f64 eps (fma.f64 eps (/.f64 (+.f64 (sin.f64 eps) (neg.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))))) eps) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(.f64 eps (fma.f64 eps (/.f64 (+.f64 (sin.f64 eps) (neg.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))))) eps) eps))
(* 2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 2 binary64)))
(* (pow eps 2) (+ 2 (* -2/3 (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2 binary64)))
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* 4/45 (pow eps 2)) 2/3))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps) eps)
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 4/45 (* -2/315 (pow eps 2)))) 2/3))))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64))) #s(literal 2 binary64)))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))

rewrite203.0ms (1%)

Memory

26.8MiB live, 298.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 792×	`lower-fma.f32`
1 780×	`lower-fma.f64`
1 622×	`lower-*.f32`
1 608×	`lower-*.f64`
1 316×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	263
0	76	246
1	338	241
0	2861	238

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 430

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(*.f64 eps #s(literal 27/112000 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
(-.f64 eps (tan.f64 eps))
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps)))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
(+.f64 (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/2 binary64))
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(/.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (.f64 eps (-.f64 eps (tan.f64 eps))) (-.f64 (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (.f64 eps (-.f64 eps (tan.f64 eps)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))) (-.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(/.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64)))) (-.f64 eps (sin.f64 eps)))
(/.f64 (.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))
(/.f64 (.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 eps (sin.f64 eps))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (sin.f64 eps))) (+.f64 eps (tan.f64 eps)))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(*.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps eps))))
(+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps)))))) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) (neg.f64 (cos.f64 (+.f64 eps eps)))) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps eps)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) (neg.f64 (cos.f64 (+.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps eps)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64))))

eval174.0ms (0.9%)

Memory: -34.7MiB live, 227.3MiB allocated
Compiler: Compiled 23 051 to 1 977 computations (91.4% saved)

prune135.0ms (0.7%)

Memory

0.1MiB live, 199.9MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	768	5	773
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	772	10	782

Accuracy

100.0%

Counts

782 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.0%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (.f64 eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal -2 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	0.5%	(/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
▶	1.0%	(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.7%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
✓	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 366 to 183 computations (50% saved)

simplify305.0ms (1.5%)

Memory

0.6MiB live, 420.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
✓	cost-diff	0	(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
✓	cost-diff	0	(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	cost-diff	128	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
✓	cost-diff	0	(+.f64 eps eps)
✓	cost-diff	0	(cos.f64 (+.f64 eps eps))
✓	cost-diff	0	(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
✓	cost-diff	0	(fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))

Rules

6 330×	`lower-fma.f32`
6 308×	`lower-fma.f64`
4 046×	`lower-*.f32`
4 028×	`lower-*.f64`
2 926×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	585
0	96	572
1	204	572
2	510	561
3	1542	561
4	4916	561
5	5287	561
6	5859	561
7	7306	561
0	8165	557

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64))
eps
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps eps)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
(.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
#s(literal -1/4 binary64)
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64)))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
eps
#s(literal 1/2 binary64)
(fma.f64 eps eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
eps
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64))
(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))
eps
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
(.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(*.f64 eps eps)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
(.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))
#s(literal -1/4 binary64)
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64)))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
eps
#s(literal 1/2 binary64)
(fma.f64 eps eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64)))
eps
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)

localize1.1s (5.3%)

Memory

-18.7MiB live, 1 285.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	66.8%	(-.f64 eps (tan.f64 eps))
✓	accuracy	51.6%	(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
✓	accuracy	49.8%	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
✓	accuracy	29.6%	(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	accuracy	99.8%	(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
✓	accuracy	73.4%	(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64)))
✓	accuracy	66.8%	(-.f64 eps (tan.f64 eps))
✓	accuracy	29.6%	(/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	66.8%	(-.f64 eps (tan.f64 eps))
✓	accuracy	37.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	100.0%	(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.2%	#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
✓	accuracy	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
✓	accuracy	99.6%	(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))

Samples

500.0ms	133×	3	valid
324.0ms	67×	2	valid
48.0ms	49×	1	valid
26.0ms	6×	4	valid
0.0ms	1×	0	valid

Compiler

Compiled 513 to 56 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 823.0ms

ival-sub: 201.0ms (24.4% of total)

ival-tan: 182.0ms (22.1% of total)

ival-cos: 108.0ms (13.1% of total)

ival-mult: 84.0ms (10.2% of total)

ival-sin: 74.0ms (9% of total)

adjust: 65.0ms (7.9% of total)

const: 52.0ms (6.3% of total)

ival-add: 40.0ms (4.9% of total)

ival-div: 16.0ms (1.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))>
#<alt (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))>
#<alt (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64))>
#<alt (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))>
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 eps eps)>
#<alt #s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))>
#<alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))>
#<alt #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))>
#<alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (.f64 eps (.f64 eps eps))>
#<alt (/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))>
#<alt (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64)))>
#<alt (cos.f64 (+.f64 eps eps))>
#<alt (+.f64 eps eps)>
#<alt (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))>
#<alt (/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))>
#<alt (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))>
#<alt (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))>
#<alt (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt -1/4>
#<alt (- (* 81/1600 (pow eps 4)) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 81/1600 (pow eps 3))>
#<alt (* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))>
#<alt (* 1/3 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2)))>
#<alt (cos (* 2 eps))>
#<alt (cos (* 2 eps))>
#<alt (cos (* 2 eps))>
#<alt (cos (* 2 eps))>
#<alt (cos (neg (* -2 eps)))>
#<alt (cos (neg (* -2 eps)))>
#<alt (cos (neg (* -2 eps)))>
#<alt (cos (neg (* -2 eps)))>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* 2 eps)>
#<alt (* -1 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1))>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))>
#<alt (* 1/3 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1)))>
#<alt (* 1/2 (cos (* 2 eps)))>
#<alt (* 1/2 (cos (* 2 eps)))>
#<alt (* 1/2 (cos (* 2 eps)))>
#<alt (* 1/2 (cos (* 2 eps)))>
#<alt (* 1/2 (cos (neg (* -2 eps))))>
#<alt (* 1/2 (cos (neg (* -2 eps))))>
#<alt (* 1/2 (cos (neg (* -2 eps))))>
#<alt (* 1/2 (cos (neg (* -2 eps))))>
#<alt (* 9/40 eps)>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -2/3 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))>

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(+ (* eps (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))))) -1/4)
0.0ms	eps	@	inf	(* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6))
0.0ms	eps	@	inf	(/ (+ (* eps (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))))) -1/4) (+ (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) 1/2))
0.0ms	eps	@	-inf	(* eps (* eps eps))
0.0ms	eps	@	0	(/ (+ (* eps (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))))) -1/4) (+ (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) 1/2))

simplify458.0ms (2.3%)

Memory

5.7MiB live, 667.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 278×	`lower-fma.f64`
11 278×	`lower-fma.f32`
6 060×	`lower-*.f64`
6 060×	`lower-*.f32`
4 782×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	4043
1	1179	3920
2	3586	3888
0	8175	3699

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 284

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 81/1600 (pow eps 3))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 11))
(* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
1
(+ 1 (* -2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2)))
(cos (* 2 eps))
(cos (* 2 eps))
(cos (* 2 eps))
(cos (* 2 eps))
(cos (neg (* -2 eps)))
(cos (neg (* -2 eps)))
(cos (neg (* -2 eps)))
(cos (neg (* -2 eps)))
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* -1 (pow eps 2))
(* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
1/2
(+ 1/2 (* -1 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1)))
(* 1/2 (cos (* 2 eps)))
(* 1/2 (cos (* 2 eps)))
(* 1/2 (cos (* 2 eps)))
(* 1/2 (cos (* 2 eps)))
(* 1/2 (cos (neg (* -2 eps))))
(* 1/2 (cos (neg (* -2 eps))))
(* 1/2 (cos (neg (* -2 eps))))
(* 1/2 (cos (neg (* -2 eps))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -2/3 (pow eps 4))
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 27/112000 (pow eps 6))
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(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
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(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -223/2520 binary64) #s(literal -19/90 binary64))) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -8117/226800 binary64) #s(literal -223/2520 binary64))) #s(literal -19/90 binary64)) #s(literal -2/3 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(*.f64 eps (fma.f64 eps (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) eps))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(.f64 eps (fma.f64 eps (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (*.f64 eps (cos.f64 eps))))) eps))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(.f64 eps (fma.f64 eps (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (*.f64 eps (cos.f64 eps))))) eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(*.f64 eps (fma.f64 eps (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(.f64 eps (fma.f64 eps (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (cos.f64 eps)))) eps)) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(.f64 eps (fma.f64 eps (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (cos.f64 eps)))) eps)) eps))

rewrite407.0ms (2.1%)

Memory

-17.6MiB live, 640.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 378×	`lower-/.f32`
4 372×	`lower-/.f64`
3 800×	`lower-*.f32`
3 782×	`lower-*.f64`
3 218×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	444
0	96	431
1	443	354
2	3326	342
0	8303	338

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 680

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 eps (.f64 eps eps))
(/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64)))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
(.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
(-.f64 eps (tan.f64 eps))
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/2 binary64))
(-.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 4 binary64)) (fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64))) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64))) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 4 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))))) (fma.f64 eps (.f64 eps (.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))))) (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 eps (.f64 eps (.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))))) (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) eps #s(literal -1/2 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))))
(/.f64 (neg.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) (neg.f64 (-.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(/.f64 (neg.f64 (.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 eps (sin.f64 eps)))) (neg.f64 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (sin.f64 eps)))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps)))) (neg.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 eps (tan.f64 eps)))) (neg.f64 (-.f64 eps (sin.f64 eps))))
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(*.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

eval367.0ms (1.9%)

Memory: 27.7MiB live, 319.9MiB allocated
Compiler: Compiled 57 967 to 2 951 computations (94.9% saved)

prune234.0ms (1.2%)

Memory

15.4MiB live, 299.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 385	4	1 389
Fresh	1	0	1
Picked	4	1	5
Done	0	4	4
Total	1 390	9	1 399

Accuracy

100.0%

Counts

1 399 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.0%	(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
▶	3.4%	(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.7%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
✓	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 175 to 100 computations (42.9% saved)

simplify371.0ms (1.9%)

Memory

21.4MiB live, 370.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (+.f64 eps eps))
✓	cost-diff	0	(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	cost-diff	0	(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
✓	cost-diff	0	(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))
✓	cost-diff	128	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
✓	cost-diff	6912	(fma.f64 (+.f64 eps (sin.f64 eps)) eps (*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps))))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps)
✓	cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
✓	cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
✓	cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	#s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
✓	cost-diff	0	(fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))

Rules

6 846×	`lower-fma.f32`
6 820×	`lower-fma.f64`
3 460×	`lower-*.f32`
3 434×	`lower-*.f64`
3 266×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	710
0	123	679
1	256	679
2	625	671
3	1874	671
4	6034	671
5	6612	671
6	7271	671
0	8037	671

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
eps
#s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))
(*.f64 eps #s(literal -729/156800000 binary64))
#s(literal -729/156800000 binary64)
#s(literal 3159/15680000 binary64)
#s(literal -243/56000 binary64)
#s(literal 81/1600 binary64)
#s(literal -1/4 binary64)
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))
(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
eps
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(fma.f64 (+.f64 eps (sin.f64 eps)) eps (*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps))))
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))
(neg.f64 (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
eps
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
(fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
eps
#s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
#s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))
(*.f64 eps #s(literal -729/156800000 binary64))
#s(literal -729/156800000 binary64)
#s(literal 3159/15680000 binary64)
#s(literal -243/56000 binary64)
#s(literal 81/1600 binary64)
#s(literal -1/4 binary64)
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
(fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64)))
eps
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(fma.f64 (+.f64 eps (sin.f64 eps)) eps (*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps))))
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))
(neg.f64 (*.f64 (tan.f64 eps) (+.f64 eps (sin.f64 eps))))
(neg.f64 (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) (fma.f64 eps eps #s(literal -1/2 binary64)))
eps
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal -1/2 binary64))
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)

localize1.0s (5.1%)

Memory

-47.9MiB live, 1 206.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	66.8%	(-.f64 eps (tan.f64 eps))
✓	accuracy	51.6%	(fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓	accuracy	49.8%	(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
✓	accuracy	29.6%	(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	accuracy	51.6%	(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
✓	accuracy	51.4%	(fma.f64 (+.f64 eps (sin.f64 eps)) eps (*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps))))
✓	accuracy	49.8%	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
✓	accuracy	29.6%	(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))
✓	accuracy	99.8%	(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
✓	accuracy	99.5%	(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps)
✓	accuracy	66.8%	(-.f64 eps (tan.f64 eps))
✓	accuracy	37.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	99.8%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
✓	accuracy	99.6%	(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
✓	accuracy	99.2%	(*.f64 eps #s(literal -729/156800000 binary64))

Samples

477.0ms	127×	2	valid
181.0ms	39×	3	valid
156.0ms	89×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 581 to 70 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 730.0ms

ival-tan: 181.0ms (24.8% of total)

ival-mult: 147.0ms (20.1% of total)

ival-add: 95.0ms (13% of total)

ival-cos: 86.0ms (11.8% of total)

ival-sin: 73.0ms (10% of total)

const: 66.0ms (9% of total)

adjust: 57.0ms (7.8% of total)

ival-div: 12.0ms (1.6% of total)

ival-sub: 10.0ms (1.4% of total)

ival-neg: 3.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

33.7MiB live, 33.7MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))>
#<alt (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))>
#<alt (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))>
#<alt #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))>
#<alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))>
#<alt #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))>
#<alt (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))>
#<alt (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps)>
#<alt (fma.f64 (+.f64 eps (sin.f64 eps)) eps (*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps))))>
#<alt (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))>
#<alt (/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))>
#<alt (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))>
#<alt (/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))>
#<alt (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))>
#<alt (cos.f64 (+.f64 eps eps))>
#<alt (*.f64 eps #s(literal -729/156800000 binary64))>
#<alt (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))>
#<alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))>
#<alt (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)))>
#<alt (-.f64 eps (tan.f64 eps))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt -1/4>
#<alt (- (* 81/1600 (pow eps 4)) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 81/1600 (pow eps 3))>
#<alt (* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (* 1/6 eps)>
#<alt (* eps (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (* -2/3 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))))>
#<alt (* -1 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1))>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2))))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (cos (neg (* -2 eps)))) (+ (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (- (* 1/2 (cos (neg (* -2 eps)))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)))))) eps) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (cos eps))))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2))))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))>
#<alt (* 1/3 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))>
#<alt (* 1/3 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* -1 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1))>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (* 2 eps))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2)))>
#<alt (cos (* 2 eps))>
#<alt (cos (* 2 eps))>
#<alt (cos (* 2 eps))>
#<alt (cos (* 2 eps))>
#<alt (cos (neg (* -2 eps)))>
#<alt (cos (neg (* -2 eps)))>
#<alt (cos (neg (* -2 eps)))>
#<alt (cos (neg (* -2 eps)))>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* 9/40 eps)>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* 81/1600 (pow eps 3))>
#<alt (* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* -729/156800000 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* (pow eps 9) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))>
#<alt (* -729/156800000 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 729/156800000 (/ 243/56000 (pow eps 4))) (* 3159/15680000 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 729/156800000 (/ 243/56000 (pow eps 4))) (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))))))>
#<alt (* 3159/15680000 eps)>
#<alt (* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))>
#<alt (* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))>
#<alt (* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))>
#<alt (* -729/156800000 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* -729/156800000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(/ (+ (* eps eps) (+ -1/2 (* 1/2 (cos (+ eps eps))))) (+ (* (+ eps (sin eps)) eps) (* (+ eps (sin eps)) (neg (tan eps)))))
0.0ms	eps	@	inf	(* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps -729/156800000)) 3159/15680000))) -243/56000)) 81/1600))
0.0ms	eps	@	-inf	(+ (* (+ eps (sin eps)) eps) (* (+ eps (sin eps)) (neg (tan eps))))
0.0ms	eps	@	0	(+ (* (+ eps (sin eps)) eps) (* (+ eps (sin eps)) (neg (tan eps))))
0.0ms	eps	@	inf	(+ (* (+ eps (sin eps)) eps) (* (+ eps (sin eps)) (neg (tan eps))))

simplify440.0ms (2.2%)

Memory

-7.2MiB live, 759.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 236×	`lower-fma.f64`
13 236×	`lower-fma.f32`
5 572×	`lower-*.f64`
5 572×	`lower-*.f32`
4 460×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	3768
1	1418	3637
2	4392	3480
0	8610	3305

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 81/1600 (pow eps 3))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 11))
(* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -2/3 (pow eps 4))
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))))
(* -1 (pow eps 2))
(* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2))))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (cos (neg (* -2 eps)))) (+ (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (- (* 1/2 (cos (neg (* -2 eps)))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)))))) eps) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (cos eps))))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2))))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (neg (* -2 eps)))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (neg (* -2 eps)))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* -1 (pow eps 2))
(* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
1
(+ 1 (* -2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2)))
(cos (* 2 eps))
(cos (* 2 eps))
(cos (* 2 eps))
(cos (* 2 eps))
(cos (neg (* -2 eps)))
(cos (neg (* -2 eps)))
(cos (neg (* -2 eps)))
(cos (neg (* -2 eps)))
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 81/1600 (pow eps 3))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* -729/156800000 (pow eps 9))
(* (pow eps 9) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* (pow eps 9) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(* -729/156800000 (pow eps 9))
(* -1 (* (pow eps 9) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 729/156800000 (/ 243/56000 (pow eps 4))) (* 3159/15680000 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 729/156800000 (/ 243/56000 (pow eps 4))) (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))))))
(* 3159/15680000 eps)
(* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))
(* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))
(* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))
(* -729/156800000 (pow eps 3))
(* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* -729/156800000 (pow eps 3))
(* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
-1/4
#s(literal -1/4 binary64)
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -243/56000 binary64) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 3159/15680000 binary64) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
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(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/14175 binary64) #s(literal 1/315 binary64))) #s(literal -2/45 binary64)) #s(literal 1/3 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (neg (* -2 eps))) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (pow eps 2))
(*.f64 eps (neg.f64 eps))
(* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))
(.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* -2/45 (pow eps 2)))) 1))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) 1))
(.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/315 binary64) #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/2 (cos (neg (* -2 eps)))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 2/3 (pow eps 2)) 2)))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/3 (* -4/45 (pow eps 2)))) 2)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* 2 eps))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(cos (* 2 eps))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(cos (* 2 eps))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(cos (* 2 eps))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(cos (neg (* -2 eps)))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(cos (neg (* -2 eps)))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(cos (neg (* -2 eps)))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(cos (neg (* -2 eps)))
(cos.f64 (*.f64 eps #s(literal -2 binary64)))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* -729/156800000 eps)
(*.f64 eps #s(literal -729/156800000 binary64))
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))
(* 27/112000 (pow eps 5))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))
(* 27/112000 (pow eps 5))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (neg.f64 (/.f64 #s(literal -9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (neg.f64 (/.f64 #s(literal -9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* 81/1600 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -243/56000 binary64) #s(literal 81/1600 binary64))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 3159/15680000 binary64) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64)))
(* -729/156800000 (pow eps 9))
(*.f64 #s(literal -729/156800000 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -729/156800000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps))))
(* (pow eps 9) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -729/156800000 binary64) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps)) (/.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* (pow eps 9) (- (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 #s(literal -729/156800000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps)))) (/.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* -729/156800000 (pow eps 9))
(*.f64 #s(literal -729/156800000 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 729/156800000 binary64) (/.f64 #s(literal -3159/15680000 binary64) (.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (+ 729/156800000 (/ 243/56000 (pow eps 4))) (* 3159/15680000 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal -729/156800000 binary64) (/.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (neg.f64 (/.f64 #s(literal -3159/15680000 binary64) (*.f64 eps eps)))))
(* -1 (* (pow eps 9) (- (+ 729/156800000 (/ 243/56000 (pow eps 4))) (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 243/56000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 729/156800000 binary64) (/.f64 #s(literal -3159/15680000 binary64) (*.f64 eps eps))) (/.f64 #s(literal -81/1600 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 3159/15680000 eps)
(*.f64 eps #s(literal 3159/15680000 binary64))
(* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)))
(* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)))
(* eps (+ 3159/15680000 (* -729/156800000 (pow eps 2))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)))
(* -729/156800000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -729/156800000 binary64)))
(* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -729/156800000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -729/156800000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -729/156800000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps)))))
(* -729/156800000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -729/156800000 binary64)))
(* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(.f64 (.f64 eps eps) (neg.f64 (.f64 eps (+.f64 #s(literal 729/156800000 binary64) (/.f64 #s(literal -3159/15680000 binary64) (.f64 eps eps))))))
(* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(.f64 (.f64 eps eps) (neg.f64 (.f64 eps (+.f64 #s(literal 729/156800000 binary64) (/.f64 #s(literal -3159/15680000 binary64) (.f64 eps eps))))))
(* -1 (* (pow eps 3) (- 729/156800000 (* 3159/15680000 (/ 1 (pow eps 2))))))
(.f64 (.f64 eps eps) (neg.f64 (.f64 eps (+.f64 #s(literal 729/156800000 binary64) (/.f64 #s(literal -3159/15680000 binary64) (.f64 eps eps))))))
(* -1/3 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 eps (neg.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 eps (neg.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 eps (neg.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 eps (neg.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 eps (neg.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 eps (neg.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)

rewrite434.0ms (2.2%)

Memory

-25.8MiB live, 848.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 856×	`lower-*.f32`
4 830×	`lower-*.f64`
4 264×	`lower-/.f32`
4 258×	`lower-/.f64`
3 858×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	510
0	123	481
1	532	481
2	3916	433
0	9420	433

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 664

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
#s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
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#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
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(fma.f64 (+.f64 eps (sin.f64 eps)) eps (*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps))))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))
(fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))
(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(cos.f64 (+.f64 eps eps))
(*.f64 eps #s(literal -729/156800000 binary64))
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(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)))
(-.f64 eps (tan.f64 eps))

Outputs
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(.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)) (.f64 eps (.f64 eps eps)))
(.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))) eps)
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)) eps) (.f64 eps eps))
(+.f64 (.f64 eps #s(literal 3159/15680000 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)))
(+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (.f64 eps #s(literal 3159/15680000 binary64)))
(fma.f64 eps #s(literal 3159/15680000 binary64) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -729/156800000 binary64)))
(fma.f64 eps (.f64 eps (.f64 eps #s(literal -729/156800000 binary64))) (*.f64 eps #s(literal 3159/15680000 binary64)))
(fma.f64 (.f64 eps eps) (.f64 eps #s(literal -729/156800000 binary64)) (*.f64 eps #s(literal 3159/15680000 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64) (*.f64 eps #s(literal 3159/15680000 binary64)))
(fma.f64 (.f64 eps #s(literal -729/156800000 binary64)) (.f64 eps eps) (*.f64 eps #s(literal 3159/15680000 binary64)))
(fma.f64 #s(literal 3159/15680000 binary64) eps (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -729/156800000 binary64)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -729/156800000 binary64))) eps (*.f64 eps #s(literal 3159/15680000 binary64)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -387420489/3855122432000000000000000 binary64))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 31524548679/3855122432000000000000 binary64))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (-.f64 (.f64 (.f64 eps #s(literal 3159/15680000 binary64)) (.f64 eps #s(literal 3159/15680000 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (*.f64 eps #s(literal 3159/15680000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64))) (.f64 (.f64 eps #s(literal 3159/15680000 binary64)) (.f64 eps #s(literal 3159/15680000 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (.f64 eps #s(literal 3159/15680000 binary64))))
(/.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -387420489/3855122432000000000000000 binary64)) #s(literal 31524548679/3855122432000000000000 binary64))) (-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal 9979281/245862400000000 binary64)) (.f64 (*.f64 eps eps) #s(literal -2302911/2458624000000000 binary64))))
(/.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal -9979281/245862400000000 binary64))) (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal -3159/15680000 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -387420489/3855122432000000000000000 binary64)) #s(literal 31524548679/3855122432000000000000 binary64)) eps) (-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal 9979281/245862400000000 binary64)) (.f64 (*.f64 eps eps) #s(literal -2302911/2458624000000000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal -9979281/245862400000000 binary64)) eps) (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal -3159/15680000 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -387420489/3855122432000000000000000 binary64))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 31524548679/3855122432000000000000 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (-.f64 (.f64 (.f64 eps #s(literal 3159/15680000 binary64)) (.f64 eps #s(literal 3159/15680000 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (*.f64 eps #s(literal 3159/15680000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64))) (.f64 (.f64 eps #s(literal 3159/15680000 binary64)) (.f64 eps #s(literal 3159/15680000 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -729/156800000 binary64)) (.f64 eps #s(literal 3159/15680000 binary64)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -387420489/3855122432000000000000000 binary64)) #s(literal 31524548679/3855122432000000000000 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal 9979281/245862400000000 binary64)) (.f64 (*.f64 eps eps) #s(literal -2302911/2458624000000000 binary64)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal -9979281/245862400000000 binary64)))) (neg.f64 (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal -3159/15680000 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -387420489/3855122432000000000000000 binary64)) #s(literal 31524548679/3855122432000000000000 binary64)) eps)) (neg.f64 (-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal 9979281/245862400000000 binary64)) (.f64 (*.f64 eps eps) #s(literal -2302911/2458624000000000 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 531441/24586240000000000 binary64) #s(literal -9979281/245862400000000 binary64)) eps)) (neg.f64 (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal -3159/15680000 binary64))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) eps)
(+.f64 eps (neg.f64 (tan.f64 eps)))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(-.f64 eps (tan.f64 eps))
(-.f64 (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))
(-.f64 (+.f64 eps #s(literal 0 binary64)) (tan.f64 eps))
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps)
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (neg.f64 (tan.f64 eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))

eval126.0ms (0.6%)

Memory: 39.4MiB live, 267.2MiB allocated
Compiler: Compiled 43 884 to 2 805 computations (93.6% saved)

prune315.0ms (1.6%)

Memory

-37.0MiB live, 182.9MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	975	2	977
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	976	10	986

Accuracy

100.0%

Counts

986 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.0%	(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.7%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
	1.0%	(/.f64 #s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
	1.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
✓	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 662 to 235 computations (64.5% saved)

regimes12.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)) (* eps (* eps (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (fma.f64 eps eps (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (fma.f64 eps eps #s(literal -1/2 binary64))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(/.f64 #s(approx (+ (* eps eps) (+ (* (cos (+ eps eps)) 1/2) -1/2)) (.f64 (.f64 eps eps) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 eps eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 (+.f64 eps (sin.f64 eps)) eps (.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 (tan.f64 eps)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (.f64 eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal -2 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))

Outputs

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

Calls

2 calls:

6.0ms	eps
5.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0%)

Memory

-30.0MiB live, 8.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

Calls

2 calls:

4.0ms	eps
2.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.8%	1	`eps`
99.8%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))

Calls

2 calls:

2.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.7%	1	`eps`
99.7%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Calls

2 calls:

1.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.0%	1	`eps`
99.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify6.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	74
1	27	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

soundness342.0ms (1.7%)

Memory

-13.5MiB live, 183.5MiB allocated

Rules

12 288×	`lower-fma.f64`
12 288×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
1 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5650	444
0	8479	418

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 41 computations (46.8% saved)

preprocess53.0ms (0.3%)

Memory: 18.1MiB live, 97.7MiB allocated
Remove: (abs eps)
Compiler: Compiled 226 to 120 computations (46.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22

analyze366.0ms (1.9%)

sample9.3s (47%)

preprocess76.0ms (0.4%)

explain682.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.1%)

localize263.0ms (1.3%)

series5.0ms (0%)

simplify420.0ms (2.1%)

rewrite348.0ms (1.8%)

eval55.0ms (0.3%)

prune63.0ms (0.3%)

simplify273.0ms (1.4%)

localize979.0ms (4.9%)

series25.0ms (0.1%)

simplify435.0ms (2.2%)

rewrite203.0ms (1%)

eval174.0ms (0.9%)

prune135.0ms (0.7%)

simplify305.0ms (1.5%)

localize1.1s (5.3%)

series12.0ms (0.1%)

simplify458.0ms (2.3%)

rewrite407.0ms (2.1%)

eval367.0ms (1.9%)

prune234.0ms (1.2%)

simplify371.0ms (1.9%)

localize1.0s (5.1%)

series11.0ms (0.1%)

simplify440.0ms (2.2%)

rewrite434.0ms (2.2%)

eval126.0ms (0.6%)

prune315.0ms (1.6%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0%)

soundness342.0ms (1.7%)

preprocess53.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22