Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze384.0ms (1.9%)

Memory

23.9MiB live, 447.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.4s (46.2%)

Memory

75.0MiB live, 10 683.1MiB allocated

Samples

7.2s	4 495×	2	valid
982.0ms	1 158×	3	valid
633.0ms	2 472×	1	valid
12.0ms	131×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.5s

ival-tan: 4.8s (57% of total)

ival-sin: 2.2s (26.5% of total)

adjust: 461.0ms (5.4% of total)

ival-sub: 292.0ms (3.4% of total)

ival-<=: 276.0ms (3.3% of total)

const: 241.0ms (2.8% of total)

ival-div: 111.0ms (1.3% of total)

ival-and: 13.0ms (0.2% of total)

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

Bogosity

preprocess64.0ms (0.3%)

Memory

-1.3MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

explain724.0ms (3.6%)

Memory

-24.0MiB live, 705.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
165	-	3	(2.479279029809922e-105)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
93	-	0	-	`(-.f64 eps (tan.f64 eps))`
93	-	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	162	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	162
↳	`(-.f64 eps (tan.f64 eps))`	underflow	162
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	93	1
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	93	1

Confusion

	Predicted +	Predicted -
+	254	0
-	1	1

Precision

0.996078431372549

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	1	1	0

Precision?

0.9921875

Recall?

1.0

Freqs

test

number	freq
0	1
1	162
2	93

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

501.0ms	270×	2	valid
128.0ms	70×	3	valid
27.0ms	152×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 620.0ms

ival-tan: 387.0ms (62.4% of total)

ival-sin: 180.0ms (29% of total)

ival-sub: 30.0ms (4.8% of total)

adjust: 16.0ms (2.6% of total)

ival-div: 7.0ms (1.1% of total)

ival-true: 1.0ms (0.2% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify32.0ms (0.2%)

Memory

12.4MiB live, 50.6MiB 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)

localize395.0ms (1.9%)

Memory

-16.3MiB live, 511.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	69.0%	(-.f64 eps (tan.f64 eps))
✓	accuracy	69.0%	(-.f64 eps (sin.f64 eps))
✓	accuracy	36.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

299.0ms	135×	2	valid
70.0ms	35×	3	valid
14.0ms	76×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

ival-tan: 219.0ms (59.1% of total)

ival-sin: 103.0ms (27.8% of total)

ival-sub: 37.0ms (10% of total)

adjust: 8.0ms (2.2% of total)

ival-div: 3.0ms (0.8% of total)

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

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

series7.0ms (0%)

Memory

18.0MiB live, 18.0MiB 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
2.0ms	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)))
1.0ms	eps	@	0	(- eps (tan eps))
0.0ms	eps	@	-inf	(- eps (tan eps))

simplify407.0ms (2%)

Memory

-12.3MiB live, 625.8MiB 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)))

rewrite254.0ms (1.3%)

Memory

14.2MiB live, 398.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

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

eval75.0ms (0.4%)

Memory: -0.1MiB live, 52.8MiB allocated
Compiler: Compiled 12 477 to 1 225 computations (90.2% saved)

prune78.0ms (0.4%)

Memory

9.4MiB live, 120.8MiB 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
▶	3.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	3.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	3.5%	(/.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)))
	3.8%	(*.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
▶	3.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	99.8%	#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)))
▶	99.5%	#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)))
	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	97.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 284 to 144 computations (49.3% saved)

simplify268.0ms (1.3%)

Memory

-16.0MiB live, 520.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
✓	cost-diff	384	(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
✓	cost-diff	6272	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	cost-diff	22656	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	cost-diff	0	(tan.f64 eps)
✓	cost-diff	0	(-.f64 (tan.f64 eps) eps)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

Rules

7 614×	`lower-fma.f32`
7 604×	`lower-fma.f64`
3 932×	`lower-*.f32`
3 916×	`lower-*.f64`
3 164×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	274
0	65	240
1	149	240
2	382	240
3	1319	239
4	5385	239
0	8498	239

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 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(-.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
#s(literal 1 binary64)
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(sin.f64 eps)
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 eps (tan.f64 eps)) eps)
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))

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

localize655.0ms (3.2%)

Memory

11.1MiB live, 818.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	84.7%	(/.f64 (-.f64 eps (tan.f64 eps)) eps)
✓	accuracy	76.2%	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	accuracy	69.0%	(-.f64 eps (tan.f64 eps))
✓	accuracy	28.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
✓	accuracy	69.0%	(-.f64 (tan.f64 eps) eps)
✓	accuracy	69.0%	(-.f64 (sin.f64 eps) eps)
✓	accuracy	35.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
✓	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	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal -27/2800 binary64))
✓	accuracy	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
✓	accuracy	100.0%	(*.f64 eps #s(literal 27/112000 binary64))
✓	accuracy	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

410.0ms	108×	3	valid
129.0ms	74×	2	valid
42.0ms	66×	1	valid
2.0ms	8×	0	valid

Compiler

Compiled 255 to 38 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 506.0ms

ival-tan: 236.0ms (46.7% of total)

ival-sin: 118.0ms (23.3% of total)

adjust: 40.0ms (7.9% of total)

ival-mult: 39.0ms (7.7% of total)

ival-div: 22.0ms (4.4% of total)

ival-sub: 19.0ms (3.8% of total)

const: 16.0ms (3.2% of total)

ival-add: 15.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (0.3%)

Memory

6.3MiB live, 116.7MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt -1/2>
#<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 (/ 3 (pow eps 3))>
#<alt (/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))>
#<alt (/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))>
#<alt (/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))>
#<alt (/ -1 eps)>
#<alt (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)>
#<alt (/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)>
#<alt (/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ -1 eps)>
#<alt (* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))>
#<alt (* -1 (/ (+ 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))) eps))>
#<alt (* 1/3 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))>
#<alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1))>
#<alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1))>
#<alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<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>
#<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 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<alt (* -1/18 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))>
#<alt (/ eps (sin eps))>
#<alt (* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* 1/9 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/9 (* 29/270 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* 8021/113400 (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* (pow eps 2) (+ 8021/113400 (* 3877/97200 (pow eps 2))))))))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (* 2 (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (* 2 (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt -27/2800>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin 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 (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>

Calls

69 calls:

Time	Variable		Point	Expression
13.0ms	eps	@	-inf	(/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps))))
4.0ms	eps	@	inf	(/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps))))
3.0ms	eps	@	-inf	(tan eps)
3.0ms	eps	@	0	(/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps))))
1.0ms	eps	@	inf	(+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) -1/2)

simplify351.0ms (1.7%)

Memory

17.3MiB live, 623.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 742×	`lower-fma.f64`
9 742×	`lower-fma.f32`
5 550×	`lower-*.f64`
5 550×	`lower-*.f32`
4 162×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	441	3763
1	1250	3622
2	3985	3443
0	8143	3292

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
-1/2
(- (* 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)))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 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))) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 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)))))))
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
(- (* 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 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))
(* -1/18 (pow eps 4))
(* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))
(/ eps (sin eps))
(* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(/ eps (sin eps))
(* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* 1/9 (pow eps 4))
(* (pow eps 4) (+ 1/9 (* 29/270 (pow eps 2))))
(* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* 8021/113400 (pow eps 2))))))
(* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* (pow eps 2) (+ 8021/113400 (* 3877/97200 (pow eps 2))))))))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (* 2 (/ 1 (* eps (cos eps))))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (* 2 (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin 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)))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
1
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
1
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (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)))) 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 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 eps))))) eps) (*.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 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))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 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)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 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)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (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)))) 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 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 eps))))) eps) (*.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 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)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (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)))) 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 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 eps))))) eps) (*.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #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))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
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(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) 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 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/3 binary64))
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))

rewrite528.0ms (2.6%)

Memory

5.8MiB live, 594.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 720×	`lower-/.f32`
4 712×	`lower-/.f64`
3 924×	`lower-fma.f32`
3 914×	`lower-fma.f64`
3 570×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	236
0	65	206
1	298	200
2	2702	200
0	8781	200

Stop Event

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

Counts

23 → 800

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(*.f64 eps #s(literal 27/112000 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
(-.f64 (sin.f64 eps) eps)
(-.f64 eps (tan.f64 eps))
(/.f64 (-.f64 eps (tan.f64 eps)) 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)))
(+.f64 #s(literal -1/2 binary64) (.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))))
(+.f64 (.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 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(-.f64 (/.f64 (.f64 eps (.f64 (.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 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 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.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))))) (/.f64 (.f64 eps (.f64 (.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 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 #s(literal -1/2 binary64) (.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))))))
(fma.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))
(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (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 eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.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))) eps #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) eps) eps (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) eps (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.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))) (.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 1/4 binary64)) (.f64 (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 eps) #s(literal -1/2 binary64)))) (fma.f64 (.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))) (.f64 eps (.f64 (.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 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 -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 eps (.f64 (.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 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 -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.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))) (.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 1/4 binary64)) (.f64 (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 eps) #s(literal -1/2 binary64)))) (fma.f64 (.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))) (.f64 eps (.f64 (.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 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 -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 eps (.f64 (.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 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 -1/4 binary64)))))
(/.f64 (fma.f64 (.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))) (.f64 eps (.f64 (.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 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 -1/8 binary64)) (-.f64 (fma.f64 (.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))) (.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 1/4 binary64)) (.f64 (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 eps) #s(literal -1/2 binary64)))))
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(pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))))))
(/.f64 (-.f64 eps (tan.f64 eps)) eps)
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(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 eps (+.f64 eps (tan.f64 eps))))
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(/.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps (tan.f64 eps)))
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(.f64 (pow.f64 (/.f64 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))))

eval213.0ms (1%)

Memory: 12.3MiB live, 277.9MiB allocated
Compiler: Compiled 48 530 to 3 841 computations (92.1% saved)

prune166.0ms (0.8%)

Memory

-41.4MiB live, 323.8MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 389	7	1 396
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	1 391	14	1 405

Accuracy

100.0%

Counts

1 405 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))))
	3.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (sin.f64 eps))))
▶	3.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	3.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	3.5%	(/.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)))
▶	3.8%	(*.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	3.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
	4.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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)))))
▶	99.0%	#s(approx (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #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 (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)))
✓	99.5%	#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))) (.f64 (fma.f64 eps (.f64 (.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 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 -1/4 binary64)) (/.f64 #s(literal 1 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)))))
✓	97.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 568 to 273 computations (51.9% saved)

simplify292.0ms (1.4%)

Memory

36.0MiB live, 417.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
✓	cost-diff	1088	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	cost-diff	6272	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(+.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	384	(*.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 (.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 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))))
✓	cost-diff	0	(fma.f64 eps (.f64 (.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 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 -1/4 binary64))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps (.f64 (.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 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 -1/4 binary64)) (/.f64 #s(literal 1 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)))))
✓	cost-diff	320	(.f64 (fma.f64 eps (.f64 (.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 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 -1/4 binary64)) (/.f64 #s(literal 1 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))))

Rules

7 334×	`lower-fma.f32`
7 318×	`lower-fma.f64`
4 292×	`lower-*.f32`
4 264×	`lower-*.f64`
3 216×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	637
0	114	613
1	256	599
2	750	585
3	2882	573
0	8154	570

Stop Event

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

Calls

Call 1

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

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

localize891.0ms (4.4%)

Memory

10.7MiB live, 1 474.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	76.2%	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	accuracy	69.0%	(-.f64 eps (tan.f64 eps))
✓	accuracy	54.2%	(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
✓	accuracy	28.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	accuracy	84.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps)))
✓	accuracy	69.0%	(-.f64 eps (tan.f64 eps))
✓	accuracy	69.0%	(-.f64 eps (sin.f64 eps))
✓	accuracy	51.7%	(*.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 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	99.7%	#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))))
✓	accuracy	69.0%	(-.f64 eps (tan.f64 eps))
✓	accuracy	36.6%	(/.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%	(*.f64 eps eps)
✓	accuracy	100.0%	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
✓	accuracy	99.0%	#s(approx (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps (.f64 (.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 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 -1/4 binary64)) (/.f64 #s(literal 1 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)))))
✓	accuracy	99.7%	(.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)))
✓	accuracy	99.7%	(.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)))
✓	accuracy	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

489.0ms	108×	3	valid
158.0ms	74×	2	valid
108.0ms	66×	1	valid
4.0ms	8×	0	valid

Compiler

Compiled 575 to 61 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

ival-tan: 238.0ms (34.6% of total)

ival-sin: 128.0ms (18.6% of total)

ival-mult: 117.0ms (17% of total)

adjust: 51.0ms (7.4% of total)

const: 50.0ms (7.3% of total)

ival-div: 49.0ms (7.1% of total)

ival-add: 21.0ms (3.1% of total)

ival-pow: 20.0ms (2.9% of total)

ival-sub: 12.0ms (1.7% of total)

exact: 1.0ms (0.1% of total)

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

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

series87.0ms (0.4%)

Memory

-29.2MiB live, 128.8MiB allocated

Counts

26 → 312

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt -1/2>
#<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 -1/4>
#<alt (- (* 81/1600 (pow eps 4)) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 81/1600 (pow eps 3))>
#<alt (* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<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 eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) 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 (/ -6 (pow eps 2))>
#<alt (/ (- (* 29/10 (pow eps 2)) 6) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 29/10 (* -299/1400 (pow eps 2)))) 6) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 29/10 (* (pow eps 2) (- (* 1279/126000 (pow eps 2)) 299/1400)))) 6) (pow eps 2))>
#<alt 1>
#<alt (- (+ 1 (/ (sin eps) eps)) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (/ (sin eps) eps) (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (/ (sin eps) eps) (/ (* (pow (sin eps) 2) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (/ (sin eps) eps)) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (* 2 eps)>
#<alt (* eps (+ 2 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt eps>
#<alt (* eps (+ 1 (/ (sin eps) eps)))>
#<alt (* eps (+ 1 (/ (sin eps) eps)))>
#<alt (* eps (+ 1 (/ (sin eps) eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (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 (* -1/18 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))>
#<alt (/ eps (sin eps))>
#<alt (* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (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) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* 9/40 eps)>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* 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 (* 1/12 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/12 (* 1/360 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 1/360 (* -1/60480 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 1/360 (* (pow eps 2) (- (* -11/1814400 (pow eps 2)) 1/60480))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) eps))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (sin eps))) (pow eps 2))))) (/ (sin eps) eps))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (sin eps))) (pow eps 3)))) (+ (/ (sin eps) eps) (/ (* (sin eps) (- (* -1 (sin eps)) (sin eps))) (pow eps 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) eps))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (sin eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (sin eps))) eps)) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (sin eps))) (* -1 (/ (+ (* -1 (* (sin eps) (- (* -1 (sin eps)) (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (sin eps))) eps)) eps))) eps)))>
#<alt (/ 9 (pow eps 4))>
#<alt (/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))>
#<alt (/ (sin eps) eps)>
#<alt (/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ (sin eps) eps)>
#<alt (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>

Calls

78 calls:

Time	Variable		Point	Expression
22.0ms	eps	@	-inf	(* (+ (* eps (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)))) -1/4) (/ 1 (+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) 1/2)))
6.0ms	eps	@	inf	(* eps (* eps eps))
5.0ms	eps	@	0	(* (pow (- eps (tan eps)) -2) (* eps (sin eps)))
3.0ms	eps	@	inf	(+ (* eps (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)))) -1/4)
2.0ms	eps	@	inf	(* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6))

simplify375.0ms (1.9%)

Memory

12.5MiB live, 476.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 364×	`lower-fma.f64`
7 364×	`lower-fma.f32`
5 598×	`lower-*.f64`
5 598×	`lower-*.f32`
3 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	611	4940
1	1759	4719
2	5558	4601
0	8213	4403

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 303

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))))))
-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)))
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 81/1600 (pow eps 3))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 11))
(* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))
-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))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) 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)))
(/ -6 (pow eps 2))
(/ (- (* 29/10 (pow eps 2)) 6) (pow eps 2))
(/ (- (* (pow eps 2) (+ 29/10 (* -299/1400 (pow eps 2)))) 6) (pow eps 2))
(/ (- (* (pow eps 2) (+ 29/10 (* (pow eps 2) (- (* 1279/126000 (pow eps 2)) 299/1400)))) 6) (pow eps 2))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (/ (sin eps) eps) (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (/ (sin eps) eps) (/ (* (pow (sin eps) 2) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 2 eps)
(* eps (+ 2 (* -1/6 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
eps
(* eps (+ 1 (/ (sin eps) eps)))
(* eps (+ 1 (/ (sin eps) eps)))
(* eps (+ 1 (/ (sin eps) eps)))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (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)
(* -1/18 (pow eps 4))
(* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))
(/ eps (sin eps))
(* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(/ eps (sin eps))
(* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (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) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
1
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
1
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* 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)))
(* 1/12 (pow eps 2))
(* (pow eps 2) (+ 1/12 (* 1/360 (pow eps 2))))
(* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 1/360 (* -1/60480 (pow eps 2))))))
(* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 1/360 (* (pow eps 2) (- (* -11/1814400 (pow eps 2)) 1/60480))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (sin eps))) (pow eps 2))))) (/ (sin eps) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (sin eps))) (pow eps 3)))) (+ (/ (sin eps) eps) (/ (* (sin eps) (- (* -1 (sin eps)) (sin eps))) (pow eps 2))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (sin eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (sin eps))) eps)) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (sin eps))) (* -1 (/ (+ (* -1 (* (sin eps) (- (* -1 (sin eps)) (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (sin eps))) eps)) eps))) eps)))
(/ 9 (pow eps 4))
(/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))
(/ (sin eps) eps)
(/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (sin eps) eps)
(* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))

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

rewrite402.0ms (2%)

Memory

0.5MiB live, 560.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 124×	`lower-*.f32`
4 096×	`lower-*.f64`
4 090×	`lower-/.f32`
4 074×	`lower-/.f64`
2 894×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	473
0	114	416
1	478	332
2	3957	306
0	8548	303

Stop Event

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

Counts

26 → 1 114

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (-.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (*.f64 eps eps)))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps)))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))) (.f64 (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)))) #s(literal 1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps eps)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) eps #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps)) (.f64 eps eps) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps eps)) eps (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 eps (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps eps)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps)))
(/.f64 (neg.f64 (.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (neg.f64 (sin.f64 eps)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal -1 binary64))
(pow.f64 (.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 (sin.f64 eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))
(.f64 eps (pow.f64 (.f64 (sin.f64 eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))))
(.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (/.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (sin.f64 eps))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 eps (sin.f64 eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(.f64 (.f64 eps (sin.f64 eps)) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (neg.f64 (sin.f64 eps))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (.f64 eps (sin.f64 eps)))))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (neg.f64 (sin.f64 eps))) #s(literal 1 binary64)))
(*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (*.f64 eps (sin.f64 eps))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (.f64 eps (sin.f64 eps))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) eps) #s(literal -1 binary64)))
(.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (sin.f64 eps))
(.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (/.f64 (sin.f64 eps) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (sin.f64 eps)) eps)
(.f64 (.f64 (*.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) eps)) (sin.f64 eps))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps))) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (sin.f64 eps))) #s(literal -1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (sin.f64 eps) #s(literal 1 binary64)) (pow.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (*.f64 eps (sin.f64 eps))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (sin.f64 eps)) #s(literal 1 binary64)) eps)
(.f64 (pow.f64 (.f64 (*.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) eps)) #s(literal 1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps))) #s(literal 1 binary64)) eps)

eval268.0ms (1.3%)

Memory: 19.3MiB live, 466.1MiB allocated
Compiler: Compiled 72 784 to 4 735 computations (93.5% saved)

prune260.0ms (1.3%)

Memory

16.2MiB live, 496.0MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1 887	5	1 892
Fresh	1	3	4
Picked	3	2	5
Done	0	5	5
Total	1 891	15	1 906

Accuracy

100.0%

Counts

1 906 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.3%	(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
	3.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (sin.f64 eps))))
▶	3.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))))
✓	3.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	3.5%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.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)) (-.f64 eps (tan.f64 eps)))
✓	3.8%	(*.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
	3.8%	(.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))))
✓	3.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	4.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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)))))
✓	99.0%	#s(approx (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #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 (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)))
✓	99.5%	#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))) (.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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)))))
✓	97.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 580 to 303 computations (47.8% saved)

simplify322.0ms (1.6%)

Memory

14.7MiB live, 557.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
✓	cost-diff	1920	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))))
✓	cost-diff	6272	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	cost-diff	12800	(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 eps (tan.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
✓	cost-diff	1920	(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	cost-diff	6272	(-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps))
✓	cost-diff	0	(tan.f64 eps)
✓	cost-diff	0	(-.f64 (tan.f64 eps) eps)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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)))))
✓	cost-diff	0	(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
✓	cost-diff	0	(.f64 (.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) eps)
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	640	(fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	#s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
✓	cost-diff	0	(fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
✓	cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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)))))
✓	cost-diff	320	(.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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))))

Rules

8 230×	`lower-fma.f32`
8 206×	`lower-fma.f64`
3 686×	`lower-*.f32`
3 644×	`lower-*.f64`
1 708×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	905
0	151	859
1	340	835
2	881	833
3	2528	825
4	5438	825
0	8288	821

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
eps
#s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64))
(fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))
(*.f64 eps #s(literal -729/156800000 binary64))
#s(literal -729/156800000 binary64)
#s(literal 3159/15680000 binary64)
#s(literal -243/56000 binary64)
#s(literal 81/1600 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 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)))
#s(literal 1 binary64)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 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))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) eps)
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
eps
(*.f64 eps #s(literal -27/2800 binary64))
#s(literal -27/2800 binary64)
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
#s(approx (- (sin eps) 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 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))
(*.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 (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) (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 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
(-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps))
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(sin.f64 eps)
(/.f64 (-.f64 eps (tan.f64 eps)) eps)
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))))
#s(literal 1 binary64)
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 eps (sin.f64 eps))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
#s(literal 1 binary64)
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(sin.f64 eps)
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 eps (tan.f64 eps)) eps)
(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(log.f64 (.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))))
(.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))
(*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))
(.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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 (fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
(fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
eps
#s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
#s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64)))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64))
(fma.f64 eps (*.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))
(*.f64 eps #s(literal -729/156800000 binary64))
#s(literal -729/156800000 binary64)
#s(literal 3159/15680000 binary64)
#s(literal -243/56000 binary64)
#s(literal 81/1600 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 eps (.f64 eps (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(.f64 eps (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #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 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) eps)
(.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps eps)))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(.f64 #s(literal -27/2800 binary64) (.f64 eps eps))
eps
(*.f64 eps #s(literal -27/2800 binary64))
#s(literal -27/2800 binary64)
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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 #s(approx (- (sin eps) 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 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
#s(approx (- (sin eps) 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))))
#s(approx (- (sin eps) 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 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 eps (.f64 eps 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))
(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 (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) (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 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
(.f64 eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (+.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (/.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))))
(-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps))
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 #s(literal 1 binary64) (sin.f64 eps))))
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(sin.f64 eps)
(/.f64 (-.f64 eps (tan.f64 eps)) eps)
(-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))))
#s(literal 1 binary64)
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 eps (sin.f64 eps))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))))
(.f64 eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (+.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (/.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 #s(literal 1 binary64) (sin.f64 eps))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
#s(literal 1 binary64)
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(sin.f64 eps)
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 eps (tan.f64 eps)) eps)
(-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
(.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(log.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))))
(log.f64 (.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))))
(log.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))))
(.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
(*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))
#s(literal -2 binary64)

localize1.3s (6.6%)

Memory

-46.1MiB live, 1 569.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	79.8%	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	accuracy	74.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	36.8%	(log.f64 (.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))))
✓	accuracy	35.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))))
✓	accuracy	79.8%	(-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps))
✓	accuracy	74.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	59.1%	(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
✓	accuracy	35.5%	(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
✓	accuracy	99.7%	#s(approx (- (sin eps) 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))))
✓	accuracy	74.2%	(-.f64 (tan.f64 eps) eps)
✓	accuracy	40.9%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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)))))
✓	accuracy	99.9%	(*.f64 eps #s(literal 9/40 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
✓	accuracy	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	99.5%	(*.f64 eps #s(literal -27/2800 binary64))
✓	accuracy	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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)))))
✓	accuracy	99.7%	#s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal -729/156800000 binary64))

Samples

479.0ms	93×	3	valid
321.0ms	72×	2	valid
187.0ms	27×	5	exit
107.0ms	54×	1	valid
6.0ms	10×	0	valid

Compiler

Compiled 751 to 86 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 957.0ms

ival-tan: 279.0ms (29.2% of total)

ival-sin: 165.0ms (17.2% of total)

ival-mult: 126.0ms (13.2% of total)

adjust: 100.0ms (10.5% of total)

const: 83.0ms (8.7% of total)

ival-div: 64.0ms (6.7% of total)

ival-add: 42.0ms (4.4% of total)

ival-log: 41.0ms (4.3% of total)

ival-pow: 24.0ms (2.5% of total)

ival-sub: 22.0ms (2.3% of total)

ival-exp: 9.0ms (0.9% of total)

exact: 1.0ms (0.1% of total)

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

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

series92.0ms (0.5%)

Memory

6.8MiB live, 56.4MiB allocated

Counts

27 → 324

Calls

Call 1

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

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 -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 -1/4>
#<alt (- (* 81/1600 (pow eps 4)) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)>
#<alt (- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 81/1600 (pow eps 3))>
#<alt (* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 11))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))>
#<alt (* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -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 -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 (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (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 (/ 3 (pow eps 3))>
#<alt (/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))>
#<alt (/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))>
#<alt (/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))>
#<alt (/ -1 eps)>
#<alt (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)>
#<alt (/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)>
#<alt (/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ -1 eps)>
#<alt (* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))>
#<alt (* -1 (/ (+ 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))) eps))>
#<alt (* 1/3 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))>
#<alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1))>
#<alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1))>
#<alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<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 (* -1/18 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))>
#<alt (/ eps (sin eps))>
#<alt (* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (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) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (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)))>
#<alt (/ 9 (pow eps 4))>
#<alt (/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))>
#<alt (/ (sin eps) eps)>
#<alt (/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ (sin eps) eps)>
#<alt (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>
#<alt (* -1/18 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))>
#<alt (/ eps (sin eps))>
#<alt (* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (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) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -729/156800000 eps)>
#<alt (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -27/2800 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 (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (/ 9 (pow eps 4))>
#<alt (/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))>
#<alt (/ (sin eps) eps)>
#<alt (/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ (sin eps) eps)>
#<alt (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>
#<alt (+ (log 9) (* -4 (log eps)))>
#<alt (+ (log 9) (+ (* -4 (log eps)) (* -29/30 (pow eps 2))))>
#<alt (+ (log 9) (+ (* -4 (log eps)) (* (pow eps 2) (- (* -1067/6300 (pow eps 2)) 29/30))))>
#<alt (+ (log 9) (+ (* -4 (log eps)) (* (pow eps 2) (- (* (pow eps 2) (- (* -3169/70875 (pow eps 2)) 1067/6300)) 29/30))))>
#<alt (+ (log (sin eps)) (log (/ 1 eps)))>
#<alt (+ (log (sin eps)) (+ (log (/ 1 eps)) (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (+ (log (sin eps)) (+ (log (/ 1 eps)) (+ (* 1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) (pow eps 2))) (* 2 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (+ (log (sin eps)) (+ (log (/ 1 eps)) (+ (* 1/6 (/ (+ (* -6 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (sin eps))) (+ (* 12 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (cos eps))) (* 16 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) (pow eps 2))) (* 2 (/ (sin eps) (* eps (cos eps))))))))>
#<alt (+ (log (* -1 (sin eps))) (log (/ -1 eps)))>
#<alt (+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) eps))) eps))))>
#<alt (+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -12 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (cos eps))) (* -6 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (sin eps))))) eps)) (* 1/2 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))))) eps))) eps))))>

Calls

81 calls:

Time	Variable		Point	Expression
41.0ms	eps	@	0	(/ (- (/ (- eps (tan eps)) (sin eps)) (/ (- eps (tan eps)) eps)) (/ 1 (* (pow (- eps (tan eps)) -2) (* eps (sin eps)))))
7.0ms	eps	@	-inf	(log (* (sin eps) (* eps (pow (- eps (tan eps)) -2))))
5.0ms	eps	@	inf	(log (* (sin eps) (* eps (pow (- eps (tan eps)) -2))))
1.0ms	eps	@	-inf	(* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)))
1.0ms	eps	@	inf	(* (+ (* eps (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)))) -1/4) (/ 1 (+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) 1/2)))

simplify431.0ms (2.1%)

Memory

21.5MiB live, 525.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 194×	`lower-fma.f64`
7 194×	`lower-fma.f32`
5 448×	`lower-*.f64`
5 448×	`lower-*.f32`
3 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	5345
1	1696	5128
2	5376	4986
0	8183	4768

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 321

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))))))
-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)))
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 81/1600 (pow eps 3))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 11))
(* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -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)))))
-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)))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (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
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(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
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(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
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(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
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eps
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(/ (sin eps) (cos eps))
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(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
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(/ eps (sin eps))
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(/ eps (sin eps))
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-1/2
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(- (* (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
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1
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(* -1/3 (pow eps 2))
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(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(/ eps (sin eps))
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(* -1/3 (pow eps 3))
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(* (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)))
(/ 9 (pow eps 4))
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(/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))
(/ (sin eps) eps)
(/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (sin eps) eps)
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(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(* -1/18 (pow eps 4))
(* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))
(/ eps (sin eps))
(* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))
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(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(/ eps (sin eps))
(* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (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) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
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(* -1/3 (pow eps 2))
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(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(/ eps (sin eps))
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(/ eps (sin eps))
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(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -729/156800000 eps)
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(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
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(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -729/156800000 eps)
(* -27/2800 eps)
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(* 27/112000 (pow eps 3))
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(* -27/2800 eps)
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(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
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(* -27/2800 eps)
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(* -27/2800 eps)
(* 9/40 eps)
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(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
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(* 9/40 eps)
(* 9/40 eps)
(* -1/6 (pow eps 3))
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(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
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(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
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(/ 9 (pow eps 4))
(/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))
(/ (sin eps) eps)
(/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
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(/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (sin eps) eps)
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(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(+ (log 9) (* -4 (log eps)))
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(+ (log 9) (+ (* -4 (log eps)) (* (pow eps 2) (- (* (pow eps 2) (- (* -3169/70875 (pow eps 2)) 1067/6300)) 29/30))))
(+ (log (sin eps)) (log (/ 1 eps)))
(+ (log (sin eps)) (+ (log (/ 1 eps)) (* 2 (/ (sin eps) (* eps (cos eps))))))
(+ (log (sin eps)) (+ (log (/ 1 eps)) (+ (* 1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) (pow eps 2))) (* 2 (/ (sin eps) (* eps (cos eps)))))))
(+ (log (sin eps)) (+ (log (/ 1 eps)) (+ (* 1/6 (/ (+ (* -6 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (sin eps))) (+ (* 12 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (cos eps))) (* 16 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) (pow eps 2))) (* 2 (/ (sin eps) (* eps (cos eps))))))))
(+ (log (* -1 (sin eps))) (log (/ -1 eps)))
(+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* 2 (/ (sin eps) (* eps (cos eps))))))
(+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) eps))) eps))))
(+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -12 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (cos eps))) (* -6 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (sin eps))))) eps)) (* 1/2 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))))) eps))) eps))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.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))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 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)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
-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 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)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.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) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
-1/4
#s(literal -1/4 binary64)
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -243/56000 binary64) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 3159/15680000 binary64) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -243/56000 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -243/56000 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 81/1600 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 81/1600 binary64))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -243/56000 binary64) #s(literal 81/1600 binary64))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 3159/15680000 binary64) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64))) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(* 729/12544000000 (pow eps 11))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 11 binary64)))
(* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 11 binary64)))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 11 binary64)))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(.f64 (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -243/56000 binary64) (pow.f64 eps #s(literal 6 binary64))))) (pow.f64 eps #s(literal 11 binary64)))
(* 729/12544000000 (pow eps 11))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 11 binary64)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))
(.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 11 binary64)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 11 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 729/156800000 binary64) (.f64 eps eps)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))))
(* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(neg.f64 (.f64 (pow.f64 eps #s(literal 11 binary64)) (+.f64 (/.f64 #s(literal 243/56000 binary64) (pow.f64 eps #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 729/156800000 binary64) (.f64 eps eps)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (*.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 (* -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))
(* -27/2800 (pow eps 4))
(.f64 eps (.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* -27/2800 (pow eps 4))
(.f64 eps (.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.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 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)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
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(/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) (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)) (*.f64 eps (cos.f64 eps))) (sin.f64 eps))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (sin.f64 eps) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (.f64 eps (.f64 eps eps))) (-.f64 (sin.f64 eps) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) (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)) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) eps)
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(/.f64 (+.f64 (sin.f64 eps) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 eps (cos.f64 eps))) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) eps)
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 eps) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps)) eps)) eps)) eps)
(+ (log 9) (* -4 (log eps)))
(fma.f64 #s(literal -4 binary64) (log.f64 eps) (log.f64 #s(literal 9 binary64)))
(+ (log 9) (+ (* -4 (log eps)) (* -29/30 (pow eps 2))))
(fma.f64 eps (*.f64 eps #s(literal -29/30 binary64)) (fma.f64 #s(literal -4 binary64) (log.f64 eps) (log.f64 #s(literal 9 binary64))))
(+ (log 9) (+ (* -4 (log eps)) (* (pow eps 2) (- (* -1067/6300 (pow eps 2)) 29/30))))
(fma.f64 #s(literal -4 binary64) (log.f64 eps) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1067/6300 binary64) #s(literal -29/30 binary64)) eps) eps (log.f64 #s(literal 9 binary64))))
(+ (log 9) (+ (* -4 (log eps)) (* (pow eps 2) (- (* (pow eps 2) (- (* -3169/70875 (pow eps 2)) 1067/6300)) 29/30))))
(fma.f64 #s(literal -4 binary64) (log.f64 eps) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -3169/70875 binary64) #s(literal -1067/6300 binary64)) #s(literal -29/30 binary64)) eps) eps (log.f64 #s(literal 9 binary64))))
(+ (log (sin eps)) (log (/ 1 eps)))
(-.f64 (log.f64 (sin.f64 eps)) (log.f64 eps))
(+ (log (sin eps)) (+ (log (/ 1 eps)) (* 2 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (-.f64 (log.f64 (sin.f64 eps)) (log.f64 eps)))
(+ (log (sin eps)) (+ (log (/ 1 eps)) (+ (* 1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) (pow eps 2))) (* 2 (/ (sin eps) (* eps (cos eps)))))))
(+.f64 (-.f64 (log.f64 (sin.f64 eps)) (log.f64 eps)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 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 -2 binary64) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)))) (*.f64 eps eps))))
(+ (log (sin eps)) (+ (log (/ 1 eps)) (+ (* 1/6 (/ (+ (* -6 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (sin eps))) (+ (* 12 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (cos eps))) (* 16 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (pow eps 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) (pow eps 2))) (* 2 (/ (sin eps) (* eps (cos eps))))))))
(+.f64 (log.f64 (sin.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 12 binary64) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal -12 binary64) (fma.f64 (sin.f64 eps) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (sin.f64 eps)))) (.f64 eps (.f64 eps eps))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 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 -2 binary64) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)))) (.f64 eps eps))) (log.f64 eps))))
(+ (log (* -1 (sin eps))) (log (/ -1 eps)))
(+.f64 (log.f64 (neg.f64 (sin.f64 eps))) (log.f64 (/.f64 #s(literal -1 binary64) eps)))
(+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* 2 (/ (sin eps) (* eps (cos eps))))))
(+.f64 (log.f64 (neg.f64 (sin.f64 eps))) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (log.f64 (/.f64 #s(literal -1 binary64) eps))))
(+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1/2 (/ (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))) eps))) eps))))
(-.f64 (+.f64 (log.f64 (neg.f64 (sin.f64 eps))) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps))) eps) (/.f64 (.f64 (sin.f64 eps) #s(literal -2 binary64)) (cos.f64 eps))) eps))
(+ (log (* -1 (sin eps))) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -12 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (cos eps))) (* -6 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (sin eps))))) eps)) (* 1/2 (+ (* -4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -2 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (sin eps)))))) eps))) eps))))
(-.f64 (+.f64 (log.f64 (neg.f64 (sin.f64 eps))) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal -2 binary64)) (cos.f64 eps)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal -16 binary64) (fma.f64 (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) #s(literal -12 binary64) (/.f64 (.f64 #s(literal 12 binary64) (fma.f64 (sin.f64 eps) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (sin.f64 eps)))) eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps))))) eps)) eps))

rewrite349.0ms (1.7%)

Memory

1.0MiB live, 710.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 790×	`lower-*.f32`
4 748×	`lower-*.f64`
3 878×	`lower-fma.f32`
3 854×	`lower-fma.f64`
2 728×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	561
0	151	531
1	641	503
2	4684	463
0	8408	459

Stop Event

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

Counts

27 → 670

Calls

Call 1

Inputs
(.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64))
#s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))
(fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) eps)
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps))
(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
(*.f64 eps #s(literal -729/156800000 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(*.f64 eps #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 9/40 binary64))
#s(approx (- (sin eps) 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 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
(log.f64 (.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))))

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

eval257.0ms (1.3%)

Memory: 13.1MiB live, 461.0MiB allocated
Compiler: Compiled 53 697 to 3 598 computations (93.3% saved)

prune150.0ms (0.7%)

Memory

-12.3MiB live, 400.8MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1 340	4	1 344
Fresh	0	3	3
Picked	2	3	5
Done	0	7	7
Total	1 342	17	1 359

Accuracy

100.0%

Counts

1 359 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.3%	(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
	3.3%	(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))))
	3.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (sin.f64 eps))))
✓	3.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	3.5%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.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)) (-.f64 eps (tan.f64 eps)))
✓	3.8%	(*.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
	3.8%	(.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))))
✓	3.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
✓	4.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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)))))
	35.1%	(.f64 #s(approx (/ 1 (- (tan eps) eps)) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) #s(approx (- (sin eps) 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)))))
✓	99.0%	#s(approx (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #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 (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)))
✓	99.5%	#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)))
	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -27/2800 binary64) (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
✓	97.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 1 022 to 338 computations (66.9% saved)

regimes16.0ms (0.1%)

Memory

-1.3MiB live, 37.0MiB allocated

Counts

25 → 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 (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin 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 eps (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -27/2800 binary64) (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 eps #s(approx (* (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -729/156800000 binary64) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64))))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps #s(approx ( (* eps (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -729/156800000 binary64)) #s(literal 3159/15680000 binary64)) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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 #s(approx (/ 1 (- (tan eps) eps)) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) #s(approx (- (sin eps) 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (.f64 (fma.f64 eps (.f64 (.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 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 -1/4 binary64)) (/.f64 #s(literal 1 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 #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 (.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)) (-.f64 eps (tan.f64 eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) 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 (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(*.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
(.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (sin.f64 eps))))
(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) #s(literal 1 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)))

Calls

2 calls:

7.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
7.0ms	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)

regimes6.0ms (0%)

Memory

-28.6MiB live, 10.1MiB allocated

Counts

6 → 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 (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin 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 eps (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -27/2800 binary64) (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`eps`
99.5%	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

9.4MiB live, 9.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin 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
99.5%	1	`eps`
99.5%	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

9.9MiB live, 9.9MiB 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 (/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin 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
99.0%	1	`eps`
99.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`eps`
97.7%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify8.0ms (0%)

Memory

-22.6MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	97
1	34	97

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 eps (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -27/2800 binary64) (*.f64 eps #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 eps (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -27/2800 binary64) (*.f64 eps #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))

soundness630.0ms (3.1%)

Memory

11.9MiB live, 483.4MiB allocated

Rules

12 288×	`lower-fma.f64`
12 288×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
4 790×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	561
0	151	531
1	641	503
2	4684	463
0	8408	459
0	37	236
0	65	206
1	298	200
2	2702	200
0	8781	200
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
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 133 to 71 computations (46.6% saved)

preprocess59.0ms (0.3%)

Memory: 27.6MiB live, 108.7MiB allocated
Remove: (abs eps)
Compiler: Compiled 254 to 128 computations (49.6% 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

start0.0ms (0%)

analyze384.0ms (1.9%)

sample9.4s (46.2%)

preprocess64.0ms (0.3%)

explain724.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.2%)

localize395.0ms (1.9%)

series7.0ms (0%)

simplify407.0ms (2%)

rewrite254.0ms (1.3%)

eval75.0ms (0.4%)

prune78.0ms (0.4%)

simplify268.0ms (1.3%)

localize655.0ms (3.2%)

series63.0ms (0.3%)

simplify351.0ms (1.7%)

rewrite528.0ms (2.6%)

eval213.0ms (1%)

prune166.0ms (0.8%)

simplify292.0ms (1.4%)

localize891.0ms (4.4%)

series87.0ms (0.4%)

simplify375.0ms (1.9%)

rewrite402.0ms (2%)

eval268.0ms (1.3%)

prune260.0ms (1.3%)

simplify322.0ms (1.6%)

localize1.3s (6.6%)

series92.0ms (0.5%)

simplify431.0ms (2.1%)

rewrite349.0ms (1.7%)

eval257.0ms (1.3%)

prune150.0ms (0.7%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0%)

soundness630.0ms (3.1%)

preprocess59.0ms (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