Metrics for sintan (problem 3.4.5)

analyze373.0ms (1.7%)

Memory

11.2MiB live, 436.3MiB 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)

sample12.0s (54%)

Memory

73.7MiB live, 10 448.2MiB allocated

Samples

8.5s	4 586×	2	valid
2.4s	1 114×	3	valid
632.0ms	2 438×	1	valid
11.0ms	118×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.1s

ival-tan: 6.3s (57.4% of total)

ival-sin: 2.8s (25.6% of total)

ival-sub: 1.1s (9.7% of total)

adjust: 301.0ms (2.7% of total)

const: 270.0ms (2.4% of total)

ival-div: 120.0ms (1.1% of total)

ival-<=: 91.0ms (0.8% of total)

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

ival-assert: 4.0ms (0% of total)

Bogosity

preprocess57.0ms (0.3%)

Memory

8.4MiB live, 59.4MiB 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)

explain649.0ms (2.9%)

Memory

-5.6MiB live, 884.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
175	-	1	(7.367972625128375e-104)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
81	-	0	-	`(-.f64 eps (tan.f64 eps))`
81	-	0	-	`(-.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	174	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	174
↳	`(-.f64 eps (tan.f64 eps))`	underflow	174
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	81	1
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	81	1

Confusion

	Predicted +	Predicted -
+	255	1
-	0	0

Precision

1.0

Recall

0.99609375

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	174
2	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

473.0ms	294×	2	valid
77.0ms	72×	3	valid
29.0ms	142×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

ival-tan: 304.0ms (55.4% of total)

ival-sin: 189.0ms (34.4% of total)

ival-sub: 34.0ms (6.2% of total)

adjust: 15.0ms (2.7% of total)

ival-div: 6.0ms (1.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0%)

Memory

-36.5MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify31.0ms (0.1%)

Memory

13.0MiB live, 53.9MiB 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)

localize282.0ms (1.3%)

Memory

-6.4MiB live, 466.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	71.4%	(-.f64 eps (sin.f64 eps))
✓	accuracy	71.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	32.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

212.0ms	147×	2	valid
41.0ms	36×	3	valid
12.0ms	71×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 252.0ms

ival-tan: 145.0ms (57.5% of total)

ival-sin: 60.0ms (23.8% of total)

ival-div: 31.0ms (12.3% of total)

adjust: 9.0ms (3.6% of total)

ival-sub: 8.0ms (3.2% of total)

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

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

series4.0ms (0%)

Memory

12.9MiB live, 12.8MiB 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)) (- 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))
0.0ms	eps	@	inf	(- eps (tan eps))

simplify448.0ms (2%)

Memory

10.5MiB live, 676.3MiB 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 (1.6%)

Memory

-8.5MiB live, 513.6MiB 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)))
(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 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
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(/.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)))))

eval46.0ms (0.2%)

Memory: 4.9MiB live, 79.3MiB allocated
Compiler: Compiled 12 434 to 1 225 computations (90.1% saved)

prune55.0ms (0.2%)

Memory

3.0MiB live, 120.5MiB 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
	2.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
▶	1.1%	(/.f64 (-.f64 eps (sin.f64 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))))))))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.2%	(/.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)))
▶	1.7%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 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)))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 360 to 166 computations (53.9% saved)

simplify319.0ms (1.4%)

Memory

44.4MiB live, 352.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.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))))))
✓	cost-diff	384	(.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))))
✓	cost-diff	384	(/.f64 (-.f64 eps (sin.f64 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))))))))
✓	cost-diff	13888	(+.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)))))
✓	cost-diff	0	(tan.f64 eps)
✓	cost-diff	0	(-.f64 eps (tan.f64 eps))
✓	cost-diff	0	(/.f64 eps (-.f64 eps (tan.f64 eps)))
✓	cost-diff	21184	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
✓	cost-diff	0	(*.f64 eps #s(literal -27/2800 binary64))
✓	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	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 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))

Rules

8 062×	`lower-fma.f32`
8 052×	`lower-fma.f64`
6 628×	`lower-*.f32`
6 618×	`lower-*.f64`
1 556×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	468
0	80	463
1	155	455
2	389	455
3	1217	435
4	4668	435
0	8081	428

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 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 eps (-.f64 eps (tan.f64 eps)))
eps
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))
(sin.f64 eps)
(/.f64 (-.f64 eps (sin.f64 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 eps (sin.f64 eps))
eps
(sin.f64 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 (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)))
(pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))
(/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))
(*.f64 eps eps)
(+.f64 eps (tan.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 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 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))))))
(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)))))
(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))))

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))) #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 (.f64 eps 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))) #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 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
(/.f64 eps (-.f64 eps (tan.f64 eps)))
eps
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))
(sin.f64 eps)
(/.f64 (-.f64 eps (sin.f64 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 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (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)))) (-.f64 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 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 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 eps eps) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (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))))
(-.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 3 binary64)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))
(/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))
(*.f64 eps eps)
(+.f64 eps (tan.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 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 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))))))
(fma.f64 (/.f64 (.f64 eps eps) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (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)))
(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 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (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))
(.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 (.f64 eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))

localize611.0ms (2.7%)

Memory

7.4MiB live, 924.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	52.9%	(/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))
✓	accuracy	52.9%	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
✓	accuracy	36.7%	(/.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)))))))
✓	accuracy	32.4%	(/.f64 (-.f64 eps (sin.f64 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))))))))
✓	accuracy	85.2%	(/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))
✓	accuracy	85.2%	(/.f64 eps (-.f64 eps (tan.f64 eps)))
✓	accuracy	71.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	3.4%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
✓	accuracy	100.0%	(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))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
✓	accuracy	99.4%	(*.f64 eps #s(literal -27/2800 binary64))
✓	accuracy	100.0%	(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))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
✓	accuracy	100.0%	(*.f64 eps #s(literal 27/112000 binary64))
✓	accuracy	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

340.0ms	146×	2	valid
97.0ms	35×	3	valid
71.0ms	73×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 480 to 45 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-tan: 172.0ms (37.3% of total)

ival-sin: 71.0ms (15.4% of total)

ival-mult: 47.0ms (10.2% of total)

adjust: 43.0ms (9.3% of total)

ival-div: 27.0ms (5.9% of total)

ival-pow: 24.0ms (5.2% of total)

ival-add: 22.0ms (4.8% of total)

ival-pow2: 20.0ms (4.3% of total)

const: 19.0ms (4.1% of total)

ival-sub: 14.0ms (3% of total)

exact: 1.0ms (0.2% of total)

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

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

series51.0ms (0.2%)

Memory

-24.8MiB live, 93.2MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<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 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 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 eps #s(literal -27/2800 binary64))>
#<alt (-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))>
#<alt (/.f64 eps (-.f64 eps (tan.f64 eps)))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (tan.f64 eps)>
#<alt (+.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)))))>
#<alt (/.f64 (-.f64 eps (sin.f64 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))))))))>
#<alt (.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))))>
#<alt (+.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))))))>
#<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 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))>
#<alt (/.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)))))))>
#<alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))>
#<alt (/.f64 (*.f64 eps eps) (+.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 (* 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 (* -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 -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 (* -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 -1/2>
#<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 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) eps))))>
#<alt (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) eps)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))>
#<alt (/ -3 (pow eps 2))>
#<alt (/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))>
#<alt 1>
#<alt (+ 1 (/ (sin eps) (* eps (cos eps))))>
#<alt (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (+ 1 (/ (sin eps) (* eps (cos eps))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) 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 eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/2 (* 1/3 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* 73/360 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 73/360 (* 863/7560 (pow eps 2))))))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (- (+ (* 4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 5) (pow (cos eps) 5))) (* 2 (/ (pow (sin eps) 5) (pow (cos eps) 5))))) (pow eps 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (+ (* -1 (/ (- (* -4 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))))) (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos 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 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (sin eps) eps)))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))) (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (+ (sin eps) (* 2 (/ (sin eps) (cos eps)))) eps))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) eps)) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (* -1 (/ (+ (* -1 (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* 4 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) eps)))) eps))) eps)))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/4 (* 1/12 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 1/12 (* 19/720 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 19/720 (* 1/126 (pow eps 2))))))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (- (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) (pow eps 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (cos eps))) (* -2 (/ (pow (sin eps) 5) (pow (cos eps) 5)))) (pow eps 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (+ (* -1 (/ (- (+ (* -4 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))))) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (* 3/4 (pow eps 2))>
#<alt (* (pow eps 2) (+ 3/4 (* 1/4 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* 137/720 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 137/720 (* 71/630 (pow eps 2))))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (- (+ 1 (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* 2 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* -2 (/ (sin eps) (cos eps)))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -2 (/ (sin eps) (cos eps)))) 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 (* 27/112000 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 (/ -3 (pow eps 2))>
#<alt (/ (- (* 17/10 (pow eps 2)) 3) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 17/10 (* -307/1400 (pow eps 2)))) 3) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 17/10 (* (pow eps 2) (- (* 1247/126000 (pow eps 2)) 307/1400)))) 3) (pow eps 2))>
#<alt (/ (sin eps) eps)>
#<alt (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)>
#<alt (/ (- (+ (sin eps) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ (sin eps) eps)>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) 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 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (+ (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* 1/4 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))>
#<alt (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)>
#<alt (/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)>
#<alt (/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)>
#<alt (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))>
#<alt (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/12 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* -7/360 (pow eps 2)) 1/12))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (- (* -71/15120 (pow eps 2)) 7/360)) 1/12))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))>

Calls

63 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	inf	(/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps))))))))
5.0ms	eps	@	-inf	(/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps))))))))
3.0ms	eps	@	inf	(+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) -1/2)
3.0ms	eps	@	0	(/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps))))))))
2.0ms	eps	@	inf	(/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps)))))))

simplify672.0ms (3%)

Memory

32.6MiB live, 668.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 554×	`lower-fma.f64`
10 554×	`lower-fma.f32`
5 932×	`lower-*.f64`
5 932×	`lower-*.f32`
4 416×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	5238
1	2385	4976
0	8403	4790

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 245

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)
(* 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)))))
(* -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)))
-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))
(* -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)
-1/2
(- (* 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 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) eps)))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(/ -3 (pow eps 2))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) 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)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(* 1/2 (pow eps 2))
(* (pow eps 2) (+ 1/2 (* 1/3 (pow eps 2))))
(* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* 73/360 (pow eps 2))))))
(* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 73/360 (* 863/7560 (pow eps 2))))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(- (+ (* 4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))
(- (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 5) (pow (cos eps) 5))) (* 2 (/ (pow (sin eps) 5) (pow (cos eps) 5))))) (pow eps 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* -1 (/ (- (* -4 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))))) (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos 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 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (sin eps) eps)))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))
(- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(- (+ 1 (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))) (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))))))
1
(- (+ 1 (* -1 (/ (+ (sin eps) (* 2 (/ (sin eps) (cos eps)))) eps))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) eps)) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (* -1 (/ (+ (* -1 (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* 4 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) eps)))) eps))) eps)))
(* 1/4 (pow eps 2))
(* (pow eps 2) (+ 1/4 (* 1/12 (pow eps 2))))
(* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 1/12 (* 19/720 (pow eps 2))))))
(* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 19/720 (* 1/126 (pow eps 2))))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(- (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) (pow eps 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))
(- (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (cos eps))) (* -2 (/ (pow (sin eps) 5) (pow (cos eps) 5)))) (pow eps 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* -1 (/ (- (+ (* -4 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))))) (+ (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(* 3/4 (pow eps 2))
(* (pow eps 2) (+ 3/4 (* 1/4 (pow eps 2))))
(* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* 137/720 (pow eps 2))))))
(* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 137/720 (* 71/630 (pow eps 2))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (* 2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* 2 (/ (sin eps) (* eps (cos eps)))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* -2 (/ (sin eps) (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -2 (/ (sin eps) (cos eps)))) 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)
(* 27/112000 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)))))
(/ -3 (pow eps 2))
(/ (- (* 17/10 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 17/10 (* -307/1400 (pow eps 2)))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 17/10 (* (pow eps 2) (- (* 1247/126000 (pow eps 2)) 307/1400)))) 3) (pow eps 2))
(/ (sin eps) eps)
(/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/ (- (+ (sin eps) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (sin eps) eps)
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) 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 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (+ (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/12 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* -7/360 (pow eps 2)) 1/12))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (- (* -71/15120 (pow eps 2)) 7/360)) 1/12))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (/ (sin eps) (cos eps))) 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 eps (.f64 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) (pow.f64 eps #s(literal 4 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))) (* 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) (pow.f64 eps #s(literal 4 binary64)))) (-.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))
(*.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)))))
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(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
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(* (pow eps 2) (+ 3/4 (* 1/4 (pow eps 2))))
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(pow eps 2)
(*.f64 eps eps)
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(- (* 27/112000 (pow eps 2)) 27/2800)
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(- (* 27/112000 (pow eps 2)) 27/2800)
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(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
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(* 27/112000 (pow eps 2))
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(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
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eps
(* eps (- (+ 1 (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))
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eps
(* -1 (* eps (- (* -1 (/ (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
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(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (neg.f64 eps)) (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (+ (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)))))) eps)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (neg.f64 eps)) (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 eps)) eps (neg.f64 eps)))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 41/360 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 149/3024 binary64) #s(literal 41/360 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 5 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))))) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps)
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) (.f64 eps eps)) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (neg.f64 eps))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/12 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* -7/360 (pow eps 2)) 1/12))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -7/360 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (- (* -71/15120 (pow eps 2)) 7/360)) 1/12))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -71/15120 binary64) #s(literal -7/360 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))))
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (-.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps (neg.f64 eps)))
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (/ (sin eps) (cos eps))) eps)) 1)))
(.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))) #s(literal -1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (.f64 eps eps)) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps (neg.f64 eps)))

rewrite444.0ms (2%)

Memory

-30.4MiB live, 618.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 660×	`lower-fma.f32`
4 650×	`lower-fma.f64`
4 372×	`lower-*.f32`
4 362×	`lower-*.f64`
3 044×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	339
0	72	214
1	359	199
2	3360	199
0	8427	196

Stop Event

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

Counts

21 → 880

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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 (.f64 eps (.f64 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))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (exp.f64 (log.f64 (neg.f64 (+.f64 eps (tan.f64 eps))))))
(pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(.f64 (tan.f64 eps) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
(*.f64 (tan.f64 eps) (/.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))
(.f64 (tan.f64 eps) (pow.f64 (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) #s(literal 1 binary64)))
(*.f64 (tan.f64 eps) (pow.f64 (/.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log.f64 (+.f64 eps (tan.f64 eps))))))
(*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (tan.f64 eps) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1/2 binary64))) (*.f64 (tan.f64 eps) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (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 (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 (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (tan.f64 eps) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 eps (tan.f64 eps)))
(exp.f64 (log.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 eps eps) (neg.f64 (+.f64 eps (tan.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 eps eps)) (+.f64 eps (tan.f64 eps))))
(/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 eps eps) (exp.f64 (log.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 eps eps)))) (exp.f64 (log.f64 (neg.f64 (+.f64 eps (tan.f64 eps))))))
(pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))) #s(literal 2 binary64))
(*.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))))
(.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(.f64 (.f64 eps eps) (exp.f64 (neg.f64 (log.f64 (+.f64 eps (tan.f64 eps))))))
(.f64 (neg.f64 (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (.f64 eps eps))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps)
(.f64 (sqrt.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))))
(.f64 (/.f64 (.f64 eps eps) (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 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
(.f64 (pow.f64 (neg.f64 (.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (.f64 eps eps)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 eps (tan.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))))))

eval281.0ms (1.3%)

Memory: 1.8MiB live, 324.5MiB allocated
Compiler: Compiled 89 024 to 4 920 computations (94.5% saved)

prune225.0ms (1%)

Memory

1.2MiB live, 389.8MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 488	3	1 491
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	1 491	9	1 500

Accuracy

100.0%

Counts

1 500 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
▶	1.1%	(/.f64 (-.f64 eps (sin.f64 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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)))))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.2%	(/.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)))
✓	1.7%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps)))))))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 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)))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 181 to 87 computations (51.9% saved)

simplify304.0ms (1.4%)

Memory

11.5MiB live, 465.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	cost-diff	3520	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	384	(/.f64 (-.f64 eps (sin.f64 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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)))))
✓	cost-diff	3520	(-.f64 eps (sin.f64 eps))
✓	cost-diff	7680	(fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 eps 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	(/.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	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))

Rules

7 086×	`lower-fma.f32`
7 072×	`lower-fma.f64`
6 034×	`lower-*.f32`
6 028×	`lower-*.f64`
1 918×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	538
0	103	531
1	217	531
2	569	518
3	2001	518
4	6768	518
0	8503	510

Stop Event

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

Calls

Call 1

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

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

localize847.0ms (3.8%)

Memory

43.3MiB live, 1 344.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	71.4%	(fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
✓	accuracy	71.4%	(-.f64 eps (sin.f64 eps))
✓	accuracy	52.9%	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
✓	accuracy	32.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	accuracy	52.9%	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
✓	accuracy	52.8%	(/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))
✓	accuracy	36.7%	(/.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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64))))
✓	accuracy	32.4%	(/.f64 (-.f64 eps (sin.f64 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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)))))
✓	accuracy	99.9%	(.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	71.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	32.4%	(/.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 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)

Samples

360.0ms	146×	2	valid
212.0ms	37×	3	valid
97.0ms	71×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 559 to 55 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 606.0ms

ival-mult: 138.0ms (22.8% of total)

ival-tan: 138.0ms (22.8% of total)

ival-sin: 80.0ms (13.2% of total)

ival-add: 71.0ms (11.7% of total)

adjust: 49.0ms (8.1% of total)

ival-div: 42.0ms (6.9% of total)

const: 27.0ms (4.5% of total)

ival-pow2: 22.0ms (3.6% of total)

ival-pow: 22.0ms (3.6% of total)

ival-sub: 13.0ms (2.1% of total)

ival-neg: 3.0ms (0.5% of total)

exact: 1.0ms (0.2% of total)

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

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

series43.0ms (0.2%)

Memory

17.3MiB live, 50.9MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (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 (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 (* -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 (* 3/4 (pow eps 2))>
#<alt (* (pow eps 2) (+ 3/4 (* 1/4 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* 137/720 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 137/720 (* 71/630 (pow eps 2))))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (- (+ 1 (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (- (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (+ (* -4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* -2 (/ (sin eps) (cos eps)))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps)) (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -2 (/ (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 -1/2>
#<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 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (sin eps) eps)))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))>
#<alt (- (+ 1 (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))) (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (+ (sin eps) (* 2 (/ (sin eps) (cos eps)))) eps))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) eps)) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (* -1 (/ (- (+ (* 4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps))) (+ (* -1 (/ (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) eps)))) eps))) eps)))>
#<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 -1/2>
#<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 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps))) (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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))>
#<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 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) 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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<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 (* -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 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* eps (- (+ 1 (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -1 (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (/ 2 eps)>
#<alt (/ (+ 2 (* 1/3 (pow eps 2))) eps)>
#<alt (/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)>
#<alt (/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) eps)>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* 1/4 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))>
#<alt (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)>
#<alt (/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)>
#<alt (/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)>
#<alt (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))>
#<alt (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))>

Calls

45 calls:

Time	Variable		Point	Expression
20.0ms	eps	@	-inf	(/ (- eps (sin eps)) (+ (* (/ eps (+ eps (tan eps))) eps) (neg (/ (pow (tan eps) 2) (+ eps (tan eps))))))
5.0ms	eps	@	inf	(+ (* (/ eps (+ eps (tan eps))) eps) (neg (/ (pow (tan eps) 2) (+ eps (tan eps)))))
2.0ms	eps	@	inf	(/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (* (/ (pow (tan eps) 2) (+ eps (tan eps))) (+ (* eps (/ eps (+ eps (tan eps)))) (/ (pow (tan eps) 2) (+ eps (tan eps))))) (pow (/ (+ eps (tan eps)) (* eps eps)) -2))))
2.0ms	eps	@	-inf	(/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (* (/ (pow (tan eps) 2) (+ eps (tan eps))) (+ (* eps (/ eps (+ eps (tan eps)))) (/ (pow (tan eps) 2) (+ eps (tan eps))))) (pow (/ (+ eps (tan eps)) (* eps eps)) -2))))
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (+ (* (/ eps (+ eps (tan eps))) eps) (neg (/ (pow (tan eps) 2) (+ eps (tan eps))))))

simplify432.0ms (1.9%)

Memory

-23.1MiB live, 683.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 304×	`lower-fma.f64`
9 304×	`lower-fma.f32`
5 092×	`lower-*.f64`
5 092×	`lower-*.f32`
3 942×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	597	4256
1	1981	3895
2	7646	3783
0	8284	3622

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 171

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (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)
(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))))
(* -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)
(* 3/4 (pow eps 2))
(* (pow eps 2) (+ 3/4 (* 1/4 (pow eps 2))))
(* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* 137/720 (pow eps 2))))))
(* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 137/720 (* 71/630 (pow eps 2))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (* 2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (- (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (+ (* -4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* -2 (/ (sin eps) (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps)) (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -2 (/ (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)))
-1/2
(- (* 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 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (sin eps) eps)))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))
(- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(- (+ 1 (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))) (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))))))))
1
(- (+ 1 (* -1 (/ (+ (sin eps) (* 2 (/ (sin eps) (cos eps)))) eps))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) eps)) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (* -1 (/ (- (+ (* 4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps))) (+ (* -1 (/ (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (* 2 (/ (pow (sin eps) 2) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) eps)))) eps))) eps)))
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)
-1/2
(- (* 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 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps))) (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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))
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 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) 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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -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)))
(* -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 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* eps (- (+ 1 (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -1 (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(/ 2 eps)
(/ (+ 2 (* 1/3 (pow eps 2))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) eps)
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 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))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #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))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.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)
(pow eps 2)
(*.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 (.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)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
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(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(neg.f64 (fma.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps))) (neg.f64 eps)) (neg.f64 eps)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -1 (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (* 4 (/ (* (pow (sin eps) 2) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(neg.f64 (fma.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal -3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))))))) eps)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps))) (neg.f64 eps)) (neg.f64 eps)))
(/ 2 eps)
(/.f64 #s(literal 2 binary64) eps)
(/ (+ 2 (* 1/3 (pow eps 2))) eps)
(/.f64 (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal 2 binary64)) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) eps)
(/.f64 (fma.f64 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))) #s(literal 2 binary64)) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 41/360 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 149/3024 binary64) #s(literal 41/360 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps)) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))))) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps)) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) eps)) (neg.f64 eps))

rewrite705.0ms (3.2%)

Memory

16.2MiB live, 607.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 184×	`lower-/.f32`
4 172×	`lower-/.f64`
4 072×	`lower-fma.f32`
4 058×	`lower-fma.f64`
3 934×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	275
0	80	173
1	387	128
2	3425	126
0	9459	125

Stop Event

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

Counts

15 → 1 015

Calls

Call 1

Inputs
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps 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 (.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 (.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))
(fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal -2 binary64)))
(-.f64 eps (sin.f64 eps))
(/.f64 (-.f64 eps (sin.f64 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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)))))
(sin.f64 eps)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
(fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
(-.f64 eps (tan.f64 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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64))))
(/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 #s(literal 9/40 binary64) eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 81/1600 binary64)) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)))))
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(/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 eps eps))))
(.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (.f64 eps eps))))
(.f64 (pow.f64 (/.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 (exp.f64 (log.f64 (+.f64 eps (tan.f64 eps)))) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 eps))) (log.f64 (+.f64 eps (tan.f64 eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (exp.f64 (log.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (exp.f64 (log.f64 (neg.f64 (+.f64 eps (tan.f64 eps))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps))))))
(pow.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (tan.f64 eps) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
(*.f64 (tan.f64 eps) (/.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log.f64 (+.f64 eps (tan.f64 eps))))))
(*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (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 (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)))

eval245.0ms (1.1%)

Memory: 5.8MiB live, 370.3MiB allocated
Compiler: Compiled 74 690 to 2 898 computations (96.1% saved)

prune115.0ms (0.5%)

Memory

14.0MiB live, 334.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 269	1	1 270
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	1 270	9	1 279

Accuracy

100.0%

Counts

1 279 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
▶	1.1%	(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.2%	(/.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)))
✓	1.7%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps)))))))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 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)))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 176 to 92 computations (47.7% saved)

simplify627.0ms (2.8%)

Memory

-109.1MiB live, 445.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	128	(+.f64 (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
✓	cost-diff	256	(-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))

Rules

6 154×	`lower-fma.f64`
6 154×	`lower-fma.f32`
4 076×	`lower-*.f32`
4 072×	`lower-*.f64`
2 426×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	307
0	49	302
1	99	302
2	263	302
3	1197	302
4	5034	302
0	8206	294

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))
(-.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)))
(pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))
(/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps)))
(*.f64 eps eps)
(+.f64 eps (tan.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 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal -2 binary64))
(/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))
#s(literal -2 binary64)
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(pow.f64 (tan.f64 eps) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(neg.f64 (*.f64 eps eps))
(pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))

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

localize504.0ms (2.3%)

Memory

32.6MiB live, 891.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	52.8%	(/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))
✓	accuracy	36.7%	(/.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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))
✓	accuracy	32.4%	(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
✓	accuracy	26.8%	(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))

Samples

362.0ms	212×	2	valid
67.0ms	37×	4	valid
3.0ms	5×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 309 to 29 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 392.0ms

ival-tan: 154.0ms (39.3% of total)

ival-sin: 92.0ms (23.5% of total)

adjust: 41.0ms (10.5% of total)

ival-div: 31.0ms (7.9% of total)

ival-pow: 27.0ms (6.9% of total)

ival-pow2: 15.0ms (3.8% of total)

ival-sub: 11.0ms (2.8% of total)

ival-mult: 9.0ms (2.3% of total)

ival-add: 7.0ms (1.8% of total)

ival-neg: 4.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series22.0ms (0.1%)

Memory

-20.9MiB live, 57.2MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))>
#<alt (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))>
#<alt (+.f64 (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))>
#<alt (/.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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 eps (tan.f64 eps)) (*.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 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (sin eps) eps)))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))>
#<alt (- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 3)))))))) (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (+ (sin eps) (* 2 (/ (sin eps) (cos eps)))) eps))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) eps)) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) eps))) (+ (* -1 (/ (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) eps)))) eps))) eps)))>
#<alt (* 2 (pow eps 4))>
#<alt (* (pow eps 4) (+ 2 (* 2 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 2 (* (pow eps 2) (+ 2 (* 71/45 (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 2 (* (pow eps 2) (+ 2 (* (pow eps 2) (+ 71/45 (* 1034/945 (pow eps 2))))))))>
#<alt (/ (* (pow eps 2) (pow (sin eps) 2)) (pow (cos eps) 2))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))>
#<alt (/ (* (pow eps 2) (pow (sin eps) 2)) (pow (cos eps) 2))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))>
#<alt (* 3/4 (pow eps 2))>
#<alt (* (pow eps 2) (+ 3/4 (* 1/4 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* 137/720 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 137/720 (* 71/630 (pow eps 2))))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2)))) (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -2 (/ (sin eps) (cos eps)))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (* -2 (/ (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 (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/2 (* 1/3 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* 73/360 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 73/360 (* 863/7560 (pow eps 2))))))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (- (+ (* 4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 5) (pow (cos eps) 5))) (* 8 (/ (pow (sin eps) 5) (pow (cos eps) 5)))) (pow eps 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (+ (* -1 (/ (- (* -4 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (* 2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))))) (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos 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 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2)))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow eps 3))) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))))))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -1 (* (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (/ 2 eps)>
#<alt (/ (+ 2 (* 1/3 (pow eps 2))) eps)>
#<alt (/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)>
#<alt (/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) eps)>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (+ eps (tan eps)) (* eps eps)) -2) (/ (- (pow (tan eps) 4) (* (neg (* eps eps)) (pow (tan eps) 2))) (pow (+ eps (tan eps)) 2)))))
5.0ms	eps	@	inf	(/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (+ eps (tan eps)) (* eps eps)) -2) (/ (- (pow (tan eps) 4) (* (neg (* eps eps)) (pow (tan eps) 2))) (pow (+ eps (tan eps)) 2)))))
3.0ms	eps	@	-inf	(/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (+ eps (tan eps)) (* eps eps)) -2) (/ (- (pow (tan eps) 4) (* (neg (* eps eps)) (pow (tan eps) 2))) (pow (+ eps (tan eps)) 2))))
2.0ms	eps	@	inf	(/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (+ eps (tan eps)) (* eps eps)) -2) (/ (- (pow (tan eps) 4) (* (neg (* eps eps)) (pow (tan eps) 2))) (pow (+ eps (tan eps)) 2))))
1.0ms	eps	@	inf	(- (pow (tan eps) 4) (* (neg (* eps eps)) (pow (tan eps) 2)))

simplify554.0ms (2.5%)

Memory

-14.2MiB live, 552.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 182×	`lower-fma.f64`
9 182×	`lower-fma.f32`
4 422×	`lower-*.f64`
4 422×	`lower-*.f32`
3 682×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	3347
1	1588	2833
2	6516	2717
0	8289	2578

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

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 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (sin eps) eps)))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))
(- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 3)))))))) (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))))))
1
(- (+ 1 (* -1 (/ (+ (sin eps) (* 2 (/ (sin eps) (cos eps)))) eps))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) eps)) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) eps))) (+ (* -1 (/ (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps))))) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ (sin eps) (* 2 (/ (sin eps) (cos eps))))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) eps)))) eps))) eps)))
(* 2 (pow eps 4))
(* (pow eps 4) (+ 2 (* 2 (pow eps 2))))
(* (pow eps 4) (+ 2 (* (pow eps 2) (+ 2 (* 71/45 (pow eps 2))))))
(* (pow eps 4) (+ 2 (* (pow eps 2) (+ 2 (* (pow eps 2) (+ 71/45 (* 1034/945 (pow eps 2))))))))
(/ (* (pow eps 2) (pow (sin eps) 2)) (pow (cos eps) 2))
(* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
(* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
(* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
(/ (* (pow eps 2) (pow (sin eps) 2)) (pow (cos eps) 2))
(* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
(* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
(* (pow eps 2) (- (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
(* 3/4 (pow eps 2))
(* (pow eps 2) (+ 3/4 (* 1/4 (pow eps 2))))
(* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* 137/720 (pow eps 2))))))
(* (pow eps 2) (+ 3/4 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 137/720 (* 71/630 (pow eps 2))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2)))) (* 2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -2 (/ (sin eps) (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (* -2 (/ (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)))
(* 1/2 (pow eps 2))
(* (pow eps 2) (+ 1/2 (* 1/3 (pow eps 2))))
(* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* 73/360 (pow eps 2))))))
(* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 73/360 (* 863/7560 (pow eps 2))))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(- (+ (* 4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))
(- (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 5) (pow (cos eps) 5))) (* 8 (/ (pow (sin eps) 5) (pow (cos eps) 5)))) (pow eps 3))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -4 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* -1 (/ (- (* -4 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (* 2 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))))) (* -4 (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos 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 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2)))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* (pow eps 3) (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow eps 3))) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (* -1 (/ (- (* -1 (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -1 (* (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps)))))) (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))))) eps))) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (* -2 (/ (sin eps) (cos eps)))) eps)) 1)))
(/ 2 eps)
(/ (+ 2 (* 1/3 (pow eps 2))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) eps)
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) 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 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (sin eps) eps)))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(+.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) (.f64 eps eps)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64))) (.f64 eps eps)))) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(- (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 3)))))))) (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -1 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (sin eps))) (* -1 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3))) (+ (* -1 (/ (+ (* -1 (pow (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) 2)) (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps))))))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 eps (.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal -3 binary64))) (.f64 eps (.f64 eps eps)))))) (+.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) (.f64 eps (.f64 eps eps))) (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) (.f64 eps eps)) (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 #s(literal -3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64)))))) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))) (.f64 eps eps)))) (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 2 binary64))) (.f64 eps eps)) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sin.f64 eps)) (cos.f64 eps)) #s(literal 3 binary64))))) (.f64 eps (.f64 eps eps))))))
1
#s(literal 1 binary64)
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(/ (+ 2 (* 1/3 (pow eps 2))) eps)
(/.f64 (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal 2 binary64)) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)
(/.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) eps)
(/.f64 (fma.f64 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))) #s(literal 2 binary64)) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) (neg.f64 eps))

rewrite362.0ms (1.6%)

Memory

28.5MiB live, 653.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 420×	`lower-fma.f64`
5 420×	`lower-fma.f32`
3 858×	`lower-/.f32`
3 846×	`lower-/.f64`
3 464×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	194
0	49	189
1	232	165
2	2073	165
0	8390	162

Stop Event

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

Counts

7 → 405

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
(-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(+.f64 (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(-.f64 eps (sin.f64 eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(/.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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 eps (sin.f64 eps)) (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(+.f64 (.f64 eps (/.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 eps (/.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (sin.f64 eps) (/.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (.f64 eps (.f64 eps eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 eps eps) (+.f64 eps (sin.f64 eps))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 eps (sin.f64 eps))) (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))) (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))))
(-.f64 (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
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eval85.0ms (0.4%)

Memory: -1.1MiB live, 169.8MiB allocated
Compiler: Compiled 40 722 to 2 322 computations (94.3% saved)

prune107.0ms (0.5%)

Memory

-16.7MiB live, 183.4MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	483	2	485
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	484	10	494

Accuracy

100.0%

Counts

494 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
	1.1%	(/.f64 (-.f64 eps (sin.f64 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))) (fma.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))))
	1.1%	(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.2%	(/.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)))
✓	1.7%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps)))))))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 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)))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 674 to 201 computations (70.2% saved)

regimes11.0ms (0%)

Memory

-7.7MiB live, 31.5MiB allocated

Counts

15 → 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)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ 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) (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)))
(/.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 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 eps (tan.f64 eps))) eps (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
(/.f64 (-.f64 eps (sin.f64 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))) (fma.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))))
(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
(/.f64 (-.f64 eps (sin.f64 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 (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
(/.f64 (-.f64 eps (sin.f64 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))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (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)))) (pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps)) #s(literal -2 binary64)))))
(/.f64 (-.f64 eps (sin.f64 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))))))))

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
4.0ms	(/.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)

regimes4.0ms (0%)

Memory

12.8MiB live, 12.8MiB 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)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ 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) (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:

2.0ms	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

10.2MiB live, 10.2MiB 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)) (/ (- (pow (/ (* eps eps) (+ eps (tan eps))) 3) (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 3)) (+ (pow (/ (* eps eps) (+ eps (tan eps))) 2) (+ (pow (/ (pow (tan eps) 2) (+ eps (tan eps))) 2) (* (/ (* eps eps) (+ eps (tan eps))) (/ (pow (tan eps) 2) (+ eps (tan eps)))))))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #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
99.8%	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)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB 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
99.4%	1	`eps`
99.4%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify7.0ms (0%)

Memory

-21.4MiB live, 17.9MiB 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))

soundness319.0ms (1.4%)

Memory

-2.5MiB live, 237.1MiB 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 73 to 41 computations (43.8% saved)

preprocess72.0ms (0.3%)

Memory: 11.4MiB live, 151.1MiB allocated
Remove: (abs eps)
Compiler: Compiled 216 to 120 computations (44.4% 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

analyze373.0ms (1.7%)

sample12.0s (54%)

preprocess57.0ms (0.3%)

explain649.0ms (2.9%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify31.0ms (0.1%)

localize282.0ms (1.3%)

series4.0ms (0%)

simplify448.0ms (2%)

rewrite348.0ms (1.6%)

eval46.0ms (0.2%)

prune55.0ms (0.2%)

simplify319.0ms (1.4%)

localize611.0ms (2.7%)

series51.0ms (0.2%)

simplify672.0ms (3%)

rewrite444.0ms (2%)

eval281.0ms (1.3%)

prune225.0ms (1%)

simplify304.0ms (1.4%)

localize847.0ms (3.8%)

series43.0ms (0.2%)

simplify432.0ms (1.9%)

rewrite705.0ms (3.2%)

eval245.0ms (1.1%)

prune115.0ms (0.5%)

simplify627.0ms (2.8%)

localize504.0ms (2.3%)

series22.0ms (0.1%)

simplify554.0ms (2.5%)

rewrite362.0ms (1.6%)

eval85.0ms (0.4%)

prune107.0ms (0.5%)

regimes11.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0%)

soundness319.0ms (1.4%)

preprocess72.0ms (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