Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze357.0ms (1.7%)

Memory

41.9MiB live, 430.0MiB 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)

sample9.7s (46.2%)

Memory

46.5MiB live, 9 544.3MiB allocated

Samples

7.2s	4 471×	2	valid
1.3s	1 150×	3	valid
627.0ms	2 498×	1	valid
25.0ms	137×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.7s

ival-tan: 4.9s (56.6% of total)

ival-sin: 2.7s (30.5% of total)

const: 370.0ms (4.2% of total)

adjust: 336.0ms (3.8% of total)

ival-sub: 227.0ms (2.6% of total)

ival-div: 131.0ms (1.5% of total)

ival-<=: 47.0ms (0.5% of total)

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

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

Bogosity

explain617.0ms (2.9%)

Memory

12.5MiB live, 797.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
178	0	-	2	(3.0494748804749776e-105)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
79	0	-	0	-	`(-.f64 eps (tan.f64 eps))`
79	1	(0.21151471349396292)	0	-	`(-.f64 eps (sin.f64 eps))`
0	0	-	0	-	`(tan.f64 eps)`
0	0	-	0	-	`eps`
0	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	176	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	176
↳	`(-.f64 eps (tan.f64 eps))`	underflow	176
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	80	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	79	1

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	177
2	79

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

404.0ms	294×	2	valid
74.0ms	76×	3	valid
51.0ms	130×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

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

ival-tan: 322.0ms (63.6% of total)

ival-sin: 130.0ms (25.7% of total)

adjust: 25.0ms (4.9% of total)

ival-sub: 22.0ms (4.3% of total)

ival-div: 6.0ms (1.2% of total)

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

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

preprocess95.0ms (0.5%)

Memory

25.8MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.2%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify33.0ms (0.2%)

Memory

-5.3MiB live, 33.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 eps (tan.f64 eps))
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)))

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)

localize264.0ms (1.3%)

Memory

11.0MiB live, 330.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	17.002615776126074	(-.f64 eps (tan.f64 eps))
accuracy	17.026709130983406	(-.f64 eps (sin.f64 eps))
accuracy	43.92583414815365	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

205.0ms	147×	2	valid
35.0ms	38×	3	valid
13.0ms	65×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-tan: 131.0ms (55.7% of total)

ival-sin: 82.0ms (34.9% of total)

ival-sub: 10.0ms (4.3% of total)

adjust: 8.0ms (3.4% of total)

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

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

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

series5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())
#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1/6 (pow eps 2)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify319.0ms (1.5%)

Memory

-13.3MiB live, 385.7MiB 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)))

rewrite258.0ms (1.2%)

Memory

-3.4MiB live, 380.5MiB allocated

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

eval46.0ms (0.2%)

Memory: 25.4MiB live, 101.9MiB allocated
Compiler: Compiled 12 477 to 1 225 computations (90.2% saved)

prune81.0ms (0.4%)

Memory

-16.7MiB live, 130.9MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	452	10	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	452	11	463

Accuracy

99.9%

Counts

463 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.7%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
	2.7%	(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps)))
	2.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
✓	3.2%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	2.6%	(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
	2.8%	(/.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)))
▶	3.2%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 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)))
▶	99.6%	#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)))
	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	98.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 570 to 258 computations (54.7% saved)

simplify348.0ms (1.7%)

Memory

7.5MiB live, 463.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (.f64 eps eps))
cost-diff	0	(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))
cost-diff	0	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
cost-diff	448	(+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(/.f64 eps (-.f64 eps (tan.f64 eps)))
cost-diff	7296	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 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

20 602×	`lower-fma.f32`
20 586×	`lower-fma.f64`
5 306×	`lower-+.f32`
5 302×	`lower-+.f64`
4 882×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	431
0	87	382
1	188	360
2	519	358
3	2383	354
4	5611	354
0	8204	354

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 eps (-.f64 eps (tan.f64 eps)))
eps
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))
(sin.f64 eps)
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps)))
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))
(pow.f64 (sin.f64 eps) #s(literal 9 binary64))
(sin.f64 eps)
#s(literal 9 binary64)
(.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (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 eps (tan.f64 eps))
(tan.f64 eps)
(fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))
(*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))
(+.f64 eps (sin.f64 eps))
(+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))
(fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))
(.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps))
(pow.f64 (sin.f64 eps) #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))
(*.f64 eps (sin.f64 eps))
#s(literal 3 binary64)

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

localize1.2s (5.6%)

Memory

21.5MiB live, 982.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.11298754884221007	(pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))
accuracy	4.906389485028899	(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))
accuracy	17.002615776126085	(-.f64 eps (tan.f64 eps))
accuracy	56.912841568675645	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
accuracy	9.454689745596397	(/.f64 eps (-.f64 eps (tan.f64 eps)))
accuracy	9.470314745596397	(/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))
accuracy	17.002615776126085	(-.f64 eps (tan.f64 eps))
accuracy	60.49325598283786	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
accuracy	0	(*.f64 eps eps)
accuracy	0.0078125	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
accuracy	0.27809894635683063	#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	0.3828125	(*.f64 eps #s(literal -27/2800 binary64))
accuracy	1.1179645464298311	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0.01171875	(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
accuracy	0.01953125	(*.f64 eps #s(literal 27/112000 binary64))
accuracy	0.12342673474111528	#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	0.37109375	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

549.0ms	37×	3	valid
381.0ms	146×	2	valid
134.0ms	69×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 422 to 51 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 479.0ms (47.2% of total)

ival-tan: 256.0ms (25.2% of total)

ival-sin: 103.0ms (10.2% of total)

adjust: 73.0ms (7.2% of total)

ival-pow: 35.0ms (3.4% of total)

ival-add: 24.0ms (2.4% of total)

const: 16.0ms (1.6% of total)

ival-div: 14.0ms (1.4% of total)

ival-sub: 10.0ms (1% of total)

ival-neg: 3.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.2%)

Memory

-4.1MiB live, 30.8MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(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))) (patch #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))) #<representation binary64>) () ())
#s(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)) (patch (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)) #<representation binary64>) () ())
#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())
#s(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)) (patch (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)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(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))) (patch #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))) #<representation binary64>) () ())
#s(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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (patch (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (patch (-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) #<representation binary64>) () ())
#s(alt (/.f64 eps (-.f64 eps (tan.f64 eps))) (patch (/.f64 eps (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64))) (patch (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))) (patch (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (patch (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 eps (.f64 eps eps)) (patch (.f64 eps (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())
#s(alt (.f64 eps #s(literal 27/112000 binary64)) (patch (.f64 eps #s(literal 27/112000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (patch (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #<representation binary64>) () ())
#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(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))) (patch #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))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 6) (+ 1 (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2)))) (taylor 0 eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)))) (taylor 0 eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(/ (+ (* (* eps (* eps eps)) (* (* eps (* eps eps)) (* eps (* eps eps)))) (neg (pow (sin eps) 9))) (* (* (- eps (tan eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (+ (+ (* eps (* (* eps (* eps eps)) (* eps eps))) (pow (sin eps) 6)) (pow (* eps (sin eps)) 3))))
2.0ms	eps	@	-inf	(- (/ eps (- eps (tan eps))) (/ (sin eps) (- eps (tan eps))))
1.0ms	eps	@	inf	(/ (+ (* (* eps (* eps eps)) (* (* eps (* eps eps)) (* eps (* eps eps)))) (neg (pow (sin eps) 9))) (* (* (- eps (tan eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (+ (+ (* eps (* (* eps (* eps eps)) (* eps eps))) (pow (sin eps) 6)) (pow (* eps (sin eps)) 3))))
1.0ms	eps	@	-inf	(/ (+ (* (* eps (* eps eps)) (* (* eps (* eps eps)) (* eps (* eps eps)))) (neg (pow (sin eps) 9))) (* (* (- eps (tan eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (+ (+ (* eps (* (* eps (* eps eps)) (* eps eps))) (pow (sin eps) 6)) (pow (* eps (sin eps)) 3))))
1.0ms	eps	@	inf	(- (/ eps (- eps (tan eps))) (/ (sin eps) (- eps (tan eps))))

simplify395.0ms (1.9%)

Memory

-16.3MiB live, 511.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 284×	`lower-fma.f64`
13 284×	`lower-fma.f32`
5 238×	`lower-*.f64`
5 238×	`lower-*.f32`
4 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	3439
1	1372	3256
2	4511	3174
0	9063	3059

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

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) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) eps)))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(/ -3 (pow eps 2))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(* 3 (pow eps 6))
(* (pow eps 6) (+ 3 (* -3/2 (pow eps 2))))
(* (pow eps 6) (+ 3 (* (pow eps 2) (- (* 23/40 (pow eps 2)) 3/2))))
(* (pow eps 6) (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 23/40 (* -751/5040 (pow eps 2)))) 3/2))))
(pow eps 6)
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (+ (/ (pow (sin eps) 3) (pow eps 3)) (/ (pow (sin eps) 6) (pow eps 6)))))
(* (pow eps 6) (+ 1 (+ (/ (pow (sin eps) 3) (pow eps 3)) (/ (pow (sin eps) 6) (pow eps 6)))))
(pow eps 6)
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 6) (pow eps 3))) (* -1 (pow (sin eps) 3))) (pow eps 3)))))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 6) (pow eps 3))) (* -1 (pow (sin eps) 3))) (pow eps 3)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))))) (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (cos eps))) (pow (sin eps) 3)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) eps)) (/ (pow (sin eps) 2) eps))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2)))) eps)) (+ (* -1 (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) eps)) (+ (* -1 (/ (pow (sin eps) 3) eps)) (/ (pow (sin eps) 3) (* eps (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(* 3/2 (pow eps 11))
(* (pow eps 11) (+ 3/2 (* -43/40 (pow eps 2))))
(* (pow eps 11) (+ 3/2 (* (pow eps 2) (- (* 2473/5040 (pow eps 2)) 43/40))))
(* (pow eps 11) (+ 3/2 (* (pow eps 2) (- (* (pow eps 2) (+ 2473/5040 (* -10783/67200 (pow eps 2)))) 43/40))))
(pow eps 9)
(pow eps 9)
(* (pow eps 9) (+ 1 (* -1 (/ (pow (sin eps) 9) (pow eps 9)))))
(* (pow eps 9) (+ 1 (* -1 (/ (pow (sin eps) 9) (pow eps 9)))))
(pow eps 9)
(pow eps 9)
(* -1 (* (pow eps 9) (- (/ (pow (sin eps) 9) (pow eps 9)) 1)))
(* -1 (* (pow eps 9) (- (/ (pow (sin eps) 9) (pow eps 9)) 1)))
(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)
(* -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)
(/ -3 (pow eps 2))
(/ (- (* 17/10 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 17/10 (* -307/1400 (pow eps 2)))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 17/10 (* (pow eps 2) (- (* 1247/126000 (pow eps 2)) 307/1400)))) 3) (pow eps 2))
(/ (sin eps) eps)
(/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/ (- (+ (sin eps) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (sin eps) eps)
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(pow eps 6)
(* (pow eps 6) (+ 1 (* -1/2 (pow eps 2))))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2))))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))

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))
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) (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.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 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps))) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (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 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 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)))))
(.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))))))
(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 eps (.f64 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 eps (.f64 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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))) (.f64 (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))) (.f64 (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))) (.f64 (.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)))))
(+.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) (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.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 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps))) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (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 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) (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
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1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) eps)) eps))
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(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (cos.f64 eps))) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps))) (fma.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps) (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(* 3/2 (pow eps 11))
(*.f64 #s(literal 3/2 binary64) (pow.f64 eps #s(literal 11 binary64)))
(* (pow eps 11) (+ 3/2 (* -43/40 (pow eps 2))))
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(* (pow eps 11) (+ 3/2 (* (pow eps 2) (- (* 2473/5040 (pow eps 2)) 43/40))))
(.f64 (pow.f64 eps #s(literal 11 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2473/5040 binary64) #s(literal -43/40 binary64)) #s(literal 3/2 binary64)))
(* (pow eps 11) (+ 3/2 (* (pow eps 2) (- (* (pow eps 2) (+ 2473/5040 (* -10783/67200 (pow eps 2)))) 43/40))))
(.f64 (pow.f64 eps #s(literal 11 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -10783/67200 binary64) #s(literal 2473/5040 binary64))) #s(literal -43/40 binary64)) #s(literal 3/2 binary64)))
(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(* (pow eps 9) (+ 1 (* -1 (/ (pow (sin eps) 9) (pow eps 9)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)) (pow.f64 eps #s(literal 9 binary64)))))
(* (pow eps 9) (+ 1 (* -1 (/ (pow (sin eps) 9) (pow eps 9)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)) (pow.f64 eps #s(literal 9 binary64)))))
(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(* -1 (* (pow eps 9) (- (/ (pow (sin eps) 9) (pow eps 9)) 1)))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)) (pow.f64 eps #s(literal 9 binary64)))))
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(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(/ -3 (pow eps 2))
(/.f64 #s(literal -3 binary64) (*.f64 eps eps))
(/ (- (* 17/10 (pow eps 2)) 3) (pow eps 2))
(+.f64 #s(literal 17/10 binary64) (/.f64 #s(literal -3 binary64) (*.f64 eps eps)))
(/ (- (* (pow eps 2) (+ 17/10 (* -307/1400 (pow eps 2)))) 3) (pow eps 2))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -307/1400 binary64) #s(literal 17/10 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (.f64 eps eps)))
(/ (- (* (pow eps 2) (+ 17/10 (* (pow eps 2) (- (* 1247/126000 (pow eps 2)) 307/1400)))) 3) (pow eps 2))
(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1247/126000 binary64) #s(literal -307/1400 binary64))) #s(literal 17/10 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 eps eps)))
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (cos.f64 eps)))) eps)
(/ (- (+ (sin eps) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/.f64 (+.f64 (sin.f64 eps) (+.f64 (/.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) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (+.f64 (sin.f64 eps) (/.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 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (cos.f64 eps)))) eps)
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) eps))) eps))
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps)) eps)
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps)) eps)) eps)
(pow eps 6)
(pow.f64 eps #s(literal 6 binary64))
(* (pow eps 6) (+ 1 (* -1/2 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 13/120 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -41/3024 binary64) #s(literal 13/120 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))

rewrite324.0ms (1.5%)

Memory

4.4MiB live, 612.2MiB allocated

Rules

6 072×	`lower-*.f32`
6 050×	`lower-*.f64`
4 016×	`lower-fma.f32`
4 000×	`lower-fma.f64`
3 122×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	274
0	87	198
1	384	194
2	3266	194
0	8872	194

Stop Event

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

Counts

22 → 638

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 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 eps (-.f64 eps (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))
(.f64 eps (.f64 eps 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) (-.f64 eps (tan.f64 eps)))
(pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))

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

eval181.0ms (0.9%)

Memory: 23.9MiB live, 316.2MiB allocated
Compiler: Compiled 50 178 to 2 444 computations (95.1% saved)

prune214.0ms (1%)

Memory

-22.7MiB live, 351.2MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 176	9	1 185
Fresh	2	3	5
Picked	1	4	5
Done	0	1	1
Total	1 179	17	1 196

Accuracy

100.0%

Counts

1 196 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
	2.6%	(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (+.f64 eps (sin.f64 eps)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (+.f64 eps (sin.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (.f64 (.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))) (+.f64 eps (sin.f64 eps)))))
▶	2.7%	(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
✓	3.2%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.6%	(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
	2.8%	(/.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)))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))))
✓	3.2%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 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)))
✓	99.6%	#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)))
▶	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.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))))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
✓	98.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 1 247 to 458 computations (63.3% saved)

simplify615.0ms (2.9%)

Memory

19.2MiB live, 468.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
cost-diff	128	(+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))
cost-diff	320	(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 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	13376	(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
cost-diff	0	(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))
cost-diff	0	(/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
cost-diff	0	#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
cost-diff	2368	(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Rules

21 422×	`lower-fma.f32`
21 404×	`lower-fma.f64`
6 080×	`lower-*.f32`
6 042×	`lower-*.f64`
5 288×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1195
0	131	1024
1	286	953
2	928	901
3	4959	886
0	8703	875

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 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
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(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
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#s(literal -1/8 binary64)
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
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(.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)))
(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(literal 1/4 binary64)
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
#s(literal 1 binary64)
(/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))
(fma.f64 (.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 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
#s(literal -1/4 binary64)
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.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 eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 eps eps)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
(-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))
(.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))))
eps
(.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (*.f64 eps eps))))
(.f64 eps (.f64 eps (*.f64 eps eps)))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(pow.f64 (sin.f64 eps) #s(literal 9 binary64))
(sin.f64 eps)
#s(literal 9 binary64)
(.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps))))
(+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))
(pow.f64 (sin.f64 eps) #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))
(.f64 eps (.f64 eps (.f64 eps (.f64 eps eps))))
(pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))
(*.f64 eps (sin.f64 eps))
#s(literal 3 binary64)
(.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))
(+.f64 eps (sin.f64 eps))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (.f64 (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)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (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)) (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 -1/8 binary64)) (fma.f64 (.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))) (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)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 eps eps) (.f64 (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)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (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)) (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 -1/8 binary64)) (fma.f64 (.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))) (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)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64))
(fma.f64 (.f64 eps eps) (.f64 (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)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (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)) (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 -1/8 binary64))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))
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(.f64 (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)) (.f64 (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)) (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))))
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(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
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(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))
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#s(literal -1/8 binary64)
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(fma.f64 (.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))) (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)) #s(literal 1/4 binary64))
(.f64 (.f64 eps eps) (.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))))
(.f64 (.f64 eps eps) (.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))))
(.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)))
(.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)))
(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (.f64 eps eps) (.f64 (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)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
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(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (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)) (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 -1/4 binary64)) (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (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)) (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 -1/4 binary64)) (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)))
#s(literal 1 binary64)
(/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))
(/.f64 (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)) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (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)) (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 -1/4 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))
(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))
(*.f64 eps 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))
(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))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
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(fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (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)) (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 -1/4 binary64))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
(.f64 (.f64 eps eps) (.f64 (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)) (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))))
(.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)))
(.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 -1/4 binary64)
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64))
(*.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 eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 eps eps)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
(-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))
(-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))
(.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))))
(.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))
eps
(.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (*.f64 eps eps))))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 eps (*.f64 eps eps)))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(pow.f64 (sin.f64 eps) #s(literal 9 binary64))
(sin.f64 eps)
#s(literal 9 binary64)
(.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps))))
(.f64 (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps))))
(+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))
(fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))
(pow.f64 (sin.f64 eps) #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))
(.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))))
(.f64 eps (.f64 eps (.f64 eps (.f64 eps eps))))
(pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))
(*.f64 eps (sin.f64 eps))
#s(literal 3 binary64)
(.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))
(+.f64 eps (sin.f64 eps))

localize1.1s (5.4%)

Memory

-34.3MiB live, 1 274.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11298754884221007	(pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))
accuracy	4.478364091969651	(-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))
accuracy	17.002615776126074	(-.f64 eps (tan.f64 eps))
accuracy	56.912841568675645	(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
accuracy	0.07421875	(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps)))
accuracy	12.257471067227959	(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
accuracy	17.026709130983406	(-.f64 eps (sin.f64 eps))
accuracy	48.547208811685245	(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
accuracy	0.12342673474111528	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
accuracy	0.12890625	(.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)))
accuracy	0.139003759768442	(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
accuracy	0	(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.12342673474111528	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
accuracy	0.9531655255493066	#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
accuracy	0.12342673474111528	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
accuracy	0.125	(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.12890625	(.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)))
accuracy	0.9765625	(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))

Samples

760.0ms	146×	2	valid
101.0ms	66×	1	valid
92.0ms	37×	3	valid
6.0ms	7×	0	valid

Compiler

Compiled 1 120 to 75 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 888.0ms

ival-tan: 437.0ms (49.2% of total)

ival-mult: 144.0ms (16.2% of total)

adjust: 80.0ms (9% of total)

const: 67.0ms (7.5% of total)

ival-sin: 66.0ms (7.4% of total)

ival-add: 31.0ms (3.5% of total)

ival-pow: 20.0ms (2.3% of total)

ival-sub: 18.0ms (2% of total)

ival-div: 17.0ms (1.9% of total)

ival-pow2: 7.0ms (0.8% of total)

exact: 1.0ms (0.1% of total)

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

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

series41.0ms (0.2%)

Memory

4.1MiB live, 74.7MiB allocated

Counts

27 → 324

Calls

Call 1

Inputs
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#s(alt (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))) (patch (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
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#s(alt (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2))))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 729/12544000000 (pow eps 12)) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 729/12544000000 (pow eps 12)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) (taylor 0 eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (taylor inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (taylor inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (taylor inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 6) (taylor 0 eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (+ 1 (* -1/2 (pow eps 2)))) (taylor 0 eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (+ 1 (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2)))) (taylor 0 eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)))) (taylor 0 eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (pow (sin eps) 3)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))
1.0ms	eps	@	inf	(/ (+ (* (* eps (* eps eps)) (* (* eps (* eps eps)) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))))) -1/8) (+ (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (* eps eps) (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (- 1/4 (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (* eps eps) -1/2)))))
1.0ms	eps	@	-inf	(/ (* (- eps (sin eps)) (+ eps (tan eps))) (- (* eps eps) (pow (tan eps) 2)))
1.0ms	eps	@	inf	(/ (* (- eps (sin eps)) (+ eps (tan eps))) (- (* eps eps) (pow (tan eps) 2)))
0.0ms	eps	@	inf	(+ (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (* eps eps) (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40)))) (- 1/4 (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (* eps eps) -1/2))))

simplify343.0ms (1.6%)

Memory

-2.7MiB live, 473.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 290×	`lower-fma.f64`
11 290×	`lower-fma.f32`
5 330×	`lower-*.f64`
5 330×	`lower-*.f32`
4 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	4620
1	1705	4420
2	5161	4286
0	9050	4108

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

Calls

Call 1

Inputs
1/4
(+ 1/4 (* 9/80 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(* 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))) (* 27/6400 (/ 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))) (* 27/6400 (/ 1 (pow eps 6))))))
1/4
(+ 1/4 (* 9/80 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* -27/5600 (pow eps 2)))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (- (* 27/224000 (pow eps 2)) 27/5600)))))
(* 27/224000 (pow eps 6))
(* (pow eps 6) (- 27/224000 (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (/ 9/80 (pow eps 4))) (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (+ (/ 9/80 (pow eps 4)) (* 1/4 (/ 1 (pow eps 6))))) (* 27/5600 (/ 1 (pow eps 2)))))
(* 27/224000 (pow eps 6))
(* (pow eps 6) (- 27/224000 (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (/ 9/80 (pow eps 4))) (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (+ (/ 9/80 (pow eps 4)) (* 1/4 (/ 1 (pow eps 6))))) (* 27/5600 (/ 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)
(* 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)))
-1/2
(- (* 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)
(* 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)))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
1/2
(+ 1/2 (* 9/40 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))
(+ 1/2 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
(* 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)) (* 1/2 (/ 1 (pow eps 6))))) (* 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)) (* 1/2 (/ 1 (pow eps 6))))) (* 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)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* 7/180 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* 5/252 (pow eps 2))))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* (pow eps 2) (+ 5/252 (* 7207/907200 (pow eps 2))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* 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)
(* 2 (pow eps 6))
(* (pow eps 6) (+ 2 (* -1/2 (pow eps 2))))
(* (pow eps 6) (+ 2 (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2))))
(* (pow eps 6) (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))))
(pow eps 6)
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(pow eps 6)
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* 3 (pow eps 6))
(* (pow eps 6) (+ 3 (* -3/2 (pow eps 2))))
(* (pow eps 6) (+ 3 (* (pow eps 2) (- (* 23/40 (pow eps 2)) 3/2))))
(* (pow eps 6) (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 23/40 (* -751/5040 (pow eps 2)))) 3/2))))
(pow eps 6)
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (+ (/ (pow (sin eps) 3) (pow eps 3)) (/ (pow (sin eps) 6) (pow eps 6)))))
(* (pow eps 6) (+ 1 (+ (/ (pow (sin eps) 3) (pow eps 3)) (/ (pow (sin eps) 6) (pow eps 6)))))
(pow eps 6)
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 3) (pow eps 3))))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 6) (pow eps 3))) (* -1 (pow (sin eps) 3))) (pow eps 3)))))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 6) (pow eps 3))) (* -1 (pow (sin eps) 3))) (pow eps 3)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))))) (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (cos eps))) (pow (sin eps) 3)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) eps)) (/ (pow (sin eps) 2) eps))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2)))) eps)) (+ (* -1 (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) eps)) (+ (* -1 (/ (pow (sin eps) 3) eps)) (/ (pow (sin eps) 3) (* eps (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(* 3/2 (pow eps 11))
(* (pow eps 11) (+ 3/2 (* -43/40 (pow eps 2))))
(* (pow eps 11) (+ 3/2 (* (pow eps 2) (- (* 2473/5040 (pow eps 2)) 43/40))))
(* (pow eps 11) (+ 3/2 (* (pow eps 2) (- (* (pow eps 2) (+ 2473/5040 (* -10783/67200 (pow eps 2)))) 43/40))))
(pow eps 9)
(pow eps 9)
(* (pow eps 9) (+ 1 (* -1 (/ (pow (sin eps) 9) (pow eps 9)))))
(* (pow eps 9) (+ 1 (* -1 (/ (pow (sin eps) 9) (pow eps 9)))))
(pow eps 9)
(pow eps 9)
(* -1 (* (pow eps 9) (- (/ (pow (sin eps) 9) (pow eps 9)) 1)))
(* -1 (* (pow eps 9) (- (/ (pow (sin eps) 9) (pow eps 9)) 1)))
729/64000
(+ 729/64000 (* -6561/4480000 (pow eps 2)))
(+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))
(+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000)))
(* 19683/1404928000000000 (pow eps 12))
(* (pow eps 12) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 19683/1404928000000000 (pow eps 12))
(* (pow eps 12) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 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)))))
(* -9/80 (pow eps 2))
(* (pow eps 2) (- (* 27/5600 (pow eps 2)) 9/80))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(* -27/224000 (pow eps 6))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* -27/224000 (pow eps 6))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* 81/1600 (pow eps 2))
(* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 10))
(* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 10))
(* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* -2/3 (pow eps 4))
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (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)))
(pow eps 6)
(* (pow eps 6) (+ 1 (* -1/2 (pow eps 2))))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2))))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))
(* (pow eps 3) (pow (sin eps) 3))

Outputs
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 9/80 (pow eps 2)))
(fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 513/11200 binary64) #s(literal 9/80 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -27/6400 binary64) #s(literal 513/11200 binary64)) #s(literal 9/80 binary64)) #s(literal 1/4 binary64))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 9/80 (pow eps 2)))
(fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* -27/5600 (pow eps 2)))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/5600 binary64) #s(literal 9/80 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (- (* 27/224000 (pow eps 2)) 27/5600)))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/224000 binary64) #s(literal -27/5600 binary64)) #s(literal 9/80 binary64)) #s(literal 1/4 binary64))
(* 27/224000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/224000 binary64))
(* (pow eps 6) (- 27/224000 (* 27/5600 (/ 1 (pow eps 2)))))
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729/64000
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(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 19683/1404928000000000 binary64) (+.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (/.f64 #s(literal -59049/35123200000000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -177147/43904000000 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 9/40 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 9/40 binary64)))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.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)))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.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)))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* -9/80 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -9/80 binary64))
(* (pow eps 2) (- (* 27/5600 (pow eps 2)) 9/80))
(.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/5600 binary64) #s(literal -9/80 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/224000 binary64) #s(literal 27/5600 binary64)) #s(literal -9/80 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/224000 binary64) #s(literal 27/5600 binary64)) #s(literal -9/80 binary64)))
(* -27/224000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -27/224000 binary64))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) #s(literal -27/224000 binary64)))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (+.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal -9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (+.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal -9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* -27/224000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -27/224000 binary64))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) #s(literal -27/224000 binary64)))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (+.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal -9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (+.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal -9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* 81/1600 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 81/1600 binary64)))
(* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -243/56000 binary64) #s(literal 81/1600 binary64))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 3159/15680000 binary64) #s(literal -243/56000 binary64)) #s(literal 81/1600 binary64)))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(.f64 (.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)))
(* 729/12544000000 (pow eps 10))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 10 binary64)))
(* (pow eps 10) (- 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 10 binary64)))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 10 binary64)))
(* (pow eps 10) (- (+ 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 10 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 10))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 10 binary64)))
(* (pow eps 10) (- 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 10 binary64)))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 10 binary64)))
(* (pow eps 10) (- (+ 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 10 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))))))
(* -2/3 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -2/3 binary64))
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal -17/45 binary64) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -62/315 binary64) #s(literal -17/45 binary64))) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1382/14175 binary64) #s(literal -62/315 binary64)) #s(literal -17/45 binary64)) #s(literal -2/3 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 eps (fma.f64 eps (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 eps (fma.f64 eps (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 eps (fma.f64 eps (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 eps (fma.f64 eps (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 eps (fma.f64 eps (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 eps (fma.f64 eps (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) 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 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.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)
(pow eps 6)
(pow.f64 eps #s(literal 6 binary64))
(* (pow eps 6) (+ 1 (* -1/2 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 13/120 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -41/3024 binary64) #s(literal 13/120 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(* (pow eps 3) (pow (sin eps) 3))
(.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))

rewrite377.0ms (1.8%)

Memory

-34.5MiB live, 498.8MiB allocated

Rules

5 640×	`lower-fma.f32`
5 622×	`lower-fma.f64`
4 936×	`lower-*.f32`
4 898×	`lower-*.f64`
2 676×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	786
0	131	669
1	568	506
2	4568	496
0	8327	484

Stop Event

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

Counts

27 → 702

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))
(fma.f64 (.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 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
(-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
(.f64 (.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)))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(-.f64 eps (tan.f64 eps))
(pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64))

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

eval320.0ms (1.5%)

Memory: 40.9MiB live, 544.1MiB allocated
Compiler: Compiled 103 027 to 3 774 computations (96.3% saved)

prune493.0ms (2.4%)

Memory

-63.7MiB live, 412.2MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1 513	7	1 520
Fresh	4	3	7
Picked	2	3	5
Done	0	5	5
Total	1 519	18	1 537

Accuracy

100.0%

Counts

1 537 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.4%	(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
✓	2.7%	(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
✓	3.2%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.7%	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
✓	2.6%	(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
▶	2.8%	(/.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)))
	2.6%	(/.f64 #s(approx (* (- eps (sin eps)) (+ eps (tan eps))) (.f64 eps (fma.f64 eps (/.f64 (+.f64 (sin.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)))) (neg.f64 eps)) eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))))
✓	3.2%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
	2.6%	(.f64 (+.f64 eps (tan.f64 eps)) (.f64 (-.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 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)))
✓	99.6%	#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)))
✓	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) #s(approx (* (+ (* (* 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) (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)))))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
✓	98.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 973 to 453 computations (53.4% saved)

simplify555.0ms (2.7%)

Memory

45.2MiB live, 387.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 eps (.f64 eps eps))
cost-diff	0	(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps)))
cost-diff	13376	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(+.f64 eps (tan.f64 eps))
cost-diff	6912	(fma.f64 (+.f64 eps (tan.f64 eps)) eps (*.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps))))
cost-diff	13376	(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
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	(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))
cost-diff	0	(/.f64 #s(literal 1 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)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
cost-diff	0	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
cost-diff	2368	(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Rules

26 502×	`lower-fma.f32`
26 480×	`lower-fma.f64`
6 134×	`lower-+.f32`
6 130×	`lower-+.f64`
4 322×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	985
0	125	825
1	278	808
2	877	767
3	3322	753
0	8028	743

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 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))))
#s(approx (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))
(*.f64 eps #s(literal -6561/4480000 binary64))
#s(literal -6561/4480000 binary64)
#s(literal 729/64000 binary64)
#s(literal -1/8 binary64)
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
(.f64 (.f64 eps eps) (.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))))
(.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)))
(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(literal 1/4 binary64)
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 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)))
(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 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(fma.f64 (+.f64 eps (tan.f64 eps)) eps (*.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps))))
(+.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(*.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))
(neg.f64 (sin.f64 eps))
(sin.f64 eps)
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 eps eps)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps)))
(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
(sin.f64 eps)
#s(literal 3 binary64)
(+.f64 eps (tan.f64 eps))
(tan.f64 eps)
(.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))
(+.f64 eps (sin.f64 eps))
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 #s(approx (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 (.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64))) (.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
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(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))))
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#s(approx (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))
#s(approx (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64))
(*.f64 eps #s(literal -6561/4480000 binary64))
#s(literal -6561/4480000 binary64)
#s(literal 729/64000 binary64)
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(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
(.f64 (.f64 eps eps) (.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))))
(.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))
(.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)))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))
(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))) #s(literal -9/80 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.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 (*.f64 eps 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 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
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(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 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 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 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
(fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(fma.f64 (+.f64 eps (tan.f64 eps)) eps (*.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps))))
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps)))
(+.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(*.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))
(neg.f64 (sin.f64 eps))
(sin.f64 eps)
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 eps eps)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
(.f64 (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps)))
(.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
(sin.f64 eps)
#s(literal 3 binary64)
(+.f64 eps (tan.f64 eps))
(tan.f64 eps)
(.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps)))
(fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))
(+.f64 eps (sin.f64 eps))
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)

localize902.0ms (4.3%)

Memory

-25.8MiB live, 1 056.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
accuracy	9.690700814669615	(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
accuracy	12.257471067227955	(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
accuracy	52.475772046492956	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
accuracy	0.0234375	(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
accuracy	12.257471067227955	(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
accuracy	25.774811587615456	(fma.f64 (+.f64 eps (tan.f64 eps)) eps (*.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps))))
accuracy	48.547208811685245	(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
accuracy	0.06287650677520568	#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	0.109375	(.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	17.002615776126074	(-.f64 eps (tan.f64 eps))
accuracy	43.92583414815365	(/.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	0.01171875	(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
accuracy	0.01953125	(*.f64 eps #s(literal 27/112000 binary64))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
accuracy	0.12342673474111528	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
accuracy	0.125	(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.12890625	(.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)))
accuracy	0.23046875	(*.f64 eps #s(literal -6561/4480000 binary64))
accuracy	0.4585815315728686	#s(approx (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))

Samples

511.0ms	147×	2	valid
99.0ms	65×	1	valid
83.0ms	38×	3	valid
3.0ms	6×	0	valid

Compiler

Compiled 863 to 72 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-tan: 222.0ms (35.4% of total)

ival-sin: 78.0ms (12.5% of total)

ival-div: 68.0ms (10.9% of total)

ival-mult: 67.0ms (10.7% of total)

adjust: 55.0ms (8.8% of total)

ival-add: 52.0ms (8.3% of total)

const: 42.0ms (6.7% of total)

ival-sub: 15.0ms (2.4% of total)

ival-pow2: 14.0ms (2.2% of total)

ival-pow: 8.0ms (1.3% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series32.0ms (0.2%)

Memory

23.4MiB live, 99.4MiB allocated

Counts

29 → 348

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))) (patch (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 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))) (patch (/.f64 #s(literal 1 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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(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))) (patch (/.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))) #<representation binary64>) () ())
#s(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)))) (patch #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)))) #<representation binary64>) () ())
#s(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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.f64 eps (.f64 eps eps)) (patch (.f64 eps (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (patch (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) #<representation binary64>) () ())
#s(alt (+.f64 eps (tan.f64 eps)) (patch (+.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (patch (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (patch (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))) (patch #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))) #<representation binary64>) () ())
#s(alt (.f64 eps #s(literal -6561/4480000 binary64)) (patch (.f64 eps #s(literal -6561/4480000 binary64)) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) (patch (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 eps #s(literal 27/112000 binary64)) (patch (.f64 eps #s(literal 27/112000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (patch (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (patch (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
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#s(alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2))))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 729/12544000000 (pow eps 12)) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 729/12544000000 (pow eps 12)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (patch (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor 0 eps) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* 9/80 (pow eps 2))) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* -27/5600 (pow eps 2))))) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2)))))))) (taylor 0 eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor -inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor -inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor -inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (pow (cos eps) 2)) (taylor -inf eps) (#s(alt (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow eps 6)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (* -4/5 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (* (pow eps 2) (- (* -1651/3780 (pow eps 2)) 4/5)) 2)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -12007/56700 (pow eps 2)) 1651/3780)) 4/5)) 2)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow eps 4) (taylor inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 1 (/ (sin eps) eps))) (taylor inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) (taylor inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))) (taylor inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow eps 4) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 1 (/ (sin eps) eps))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2)) eps))) eps)))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (pow (sin eps) 2))) eps))) eps)))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(* (+ (* (sin eps) (+ eps (sin eps))) (* eps eps)) (- (* eps eps) (pow (tan eps) 2)))
1.0ms	eps	@	-inf	(/ (* (- (* eps (* eps eps)) (pow (sin eps) 3)) (+ eps (tan eps))) (* (+ (* (sin eps) (+ eps (sin eps))) (* eps eps)) (- (* eps eps) (pow (tan eps) 2))))
1.0ms	eps	@	inf	(/ (* (- (* eps (* eps eps)) (pow (sin eps) 3)) (+ eps (tan eps))) (* (+ (* (sin eps) (+ eps (sin eps))) (* eps eps)) (- (* eps eps) (pow (tan eps) 2))))
1.0ms	eps	@	-inf	(/ (+ (* (+ eps (tan eps)) eps) (* (+ eps (tan eps)) (neg (sin eps)))) (- (* eps eps) (pow (tan eps) 2)))
1.0ms	eps	@	inf	(* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6))

simplify277.0ms (1.3%)

Memory

2.1MiB live, 514.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 960×	`lower-fma.f64`
9 960×	`lower-fma.f32`
5 410×	`lower-*.f64`
5 410×	`lower-*.f32`
3 560×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	638	4798
1	1881	4600
2	5737	4534
0	8177	4362

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 341

Calls

Call 1

Inputs
1/4
(+ 1/4 (* 9/80 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(* 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))) (* 27/6400 (/ 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))) (* 27/6400 (/ 1 (pow eps 6))))))
1/4
(+ 1/4 (* 9/80 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* -27/5600 (pow eps 2)))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (- (* 27/224000 (pow eps 2)) 27/5600)))))
(* 27/224000 (pow eps 6))
(* (pow eps 6) (- 27/224000 (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (/ 9/80 (pow eps 4))) (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (+ (/ 9/80 (pow eps 4)) (* 1/4 (/ 1 (pow eps 6))))) (* 27/5600 (/ 1 (pow eps 2)))))
(* 27/224000 (pow eps 6))
(* (pow eps 6) (- 27/224000 (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (/ 9/80 (pow eps 4))) (* 27/5600 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/224000 (+ (/ 9/80 (pow eps 4)) (* 1/4 (/ 1 (pow eps 6))))) (* 27/5600 (/ 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)
(* 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)
(* 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)))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (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)
(* 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)))
(* 1/6 (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)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (+ (* -1 (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* 7/180 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* 5/252 (pow eps 2))))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* (pow eps 2) (+ 5/252 (* 7207/907200 (pow eps 2))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))))
(* 2 eps)
(* eps (+ 2 (* 1/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
-1/2
(- (* 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 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) (* eps (cos eps))))) (/ (sin eps) eps))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) (* eps (cos eps))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) (pow (sin eps) 2)))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) eps) (+ (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) (pow eps 2)) (+ (/ (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2)) (- (/ (sin eps) (cos eps)) (sin eps))) (pow eps 3)) (/ (pow (sin eps) 2) (pow eps 2)))))))))
1
(- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2)))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2))) (* -1 (/ (pow (sin eps) 3) eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (+ (/ (* (sin eps) (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2))))) eps) (/ (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2)) (- (/ (sin eps) (cos eps)) (sin eps))) eps)))) eps))) eps)))
(pow eps 6)
(* (pow eps 6) (+ 1 (* -1/20 (pow eps 2))))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* 109/1890 (pow eps 2)) 1/20))))
(* (pow eps 6) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 109/1890 (* 13463/907200 (pow eps 2)))) 1/20))))
(pow eps 4)
(* (pow eps 4) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))))
(pow eps 4)
(* (pow eps 4) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 3) (pow eps 2))) eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (+ (/ (pow (sin eps) 3) (pow eps 2)) (/ (pow (sin eps) 4) (* (pow eps 3) (cos eps))))) eps))))
(* 1/2 (pow eps 5))
(* (pow eps 5) (+ 1/2 (* -13/120 (pow eps 2))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* 41/3024 (pow eps 2)) 13/120))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 41/3024 (* -671/604800 (pow eps 2)))) 13/120))))
(pow eps 3)
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(pow eps 3)
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
729/64000
(+ 729/64000 (* -6561/4480000 (pow eps 2)))
(+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))
(+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000)))
(* 19683/1404928000000000 (pow eps 12))
(* (pow eps 12) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 19683/1404928000000000 (pow eps 12))
(* (pow eps 12) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* -6561/4480000 eps)
(* 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)))))
(* -9/80 (pow eps 2))
(* (pow eps 2) (- (* 27/5600 (pow eps 2)) 9/80))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(* -27/224000 (pow eps 6))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* -27/224000 (pow eps 6))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(* 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)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -2/3 (pow eps 4))
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(* -2 (pow eps 6))
(* (pow eps 6) (- (* -4/5 (pow eps 2)) 2))
(* (pow eps 6) (- (* (pow eps 2) (- (* -1651/3780 (pow eps 2)) 4/5)) 2))
(* (pow eps 6) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -12007/56700 (pow eps 2)) 1651/3780)) 4/5)) 2))
(pow eps 4)
(* (pow eps 4) (+ 1 (/ (sin eps) eps)))
(* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
(* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))))
(pow eps 4)
(* (pow eps 4) (+ 1 (/ (sin eps) eps)))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2)) eps))) eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (pow (sin eps) 2))) eps))) eps))))

Outputs
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 9/80 (pow eps 2)))
(fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 513/11200 binary64) #s(literal 9/80 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -27/6400 binary64) #s(literal 513/11200 binary64))) #s(literal 9/80 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))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (/.f64 #s(literal 27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps))))
(* 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))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (/.f64 #s(literal 27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 9/80 (pow eps 2)))
(fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64))
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(.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)))))
(.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)))))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 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)))))
(.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)))))
(* -9/80 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -9/80 binary64))
(* (pow eps 2) (- (* 27/5600 (pow eps 2)) 9/80))
(.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/5600 binary64)) #s(literal -9/80 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -27/224000 binary64) #s(literal 27/5600 binary64))) #s(literal -9/80 binary64))))
(* (pow eps 2) (- (* (pow eps 2) (+ 27/5600 (* -27/224000 (pow eps 2)))) 9/80))
(.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -27/224000 binary64) #s(literal 27/5600 binary64))) #s(literal -9/80 binary64))))
(* -27/224000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -27/224000 binary64))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) #s(literal -27/224000 binary64)))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (-.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal 9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (-.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal 9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* -27/224000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -27/224000 binary64))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) #s(literal -27/224000 binary64)))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (-.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal 9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 27/5600 binary64) (.f64 eps eps)) (-.f64 #s(literal -27/224000 binary64) (/.f64 #s(literal 9/80 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 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)
(* -2/3 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -2/3 binary64))
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal -17/45 binary64) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -62/315 binary64) #s(literal -17/45 binary64))) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1382/14175 binary64) #s(literal -62/315 binary64)) #s(literal -17/45 binary64)) #s(literal -2/3 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(* -2 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -2 binary64))
(* (pow eps 6) (- (* -4/5 (pow eps 2)) 2))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 eps (.f64 eps #s(literal -4/5 binary64)) #s(literal -2 binary64)))
(* (pow eps 6) (- (* (pow eps 2) (- (* -1651/3780 (pow eps 2)) 4/5)) 2))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1651/3780 binary64) #s(literal -4/5 binary64))) #s(literal -2 binary64)))
(* (pow eps 6) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -12007/56700 (pow eps 2)) 1651/3780)) 4/5)) 2))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -12007/56700 binary64)) #s(literal -1651/3780 binary64)) #s(literal -4/5 binary64)) #s(literal -2 binary64)))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(* (pow eps 4) (+ 1 (/ (sin eps) eps)))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 eps) eps) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 eps eps)))))
(* (pow eps 4) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (sin.f64 eps) eps) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 eps eps)))))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(* (pow eps 4) (+ 1 (/ (sin eps) eps)))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow (sin eps) 2)) eps))) eps))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)) eps)))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (pow (sin eps) 2))) eps))) eps))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)) eps)))

rewrite392.0ms (1.9%)

Memory

17.8MiB live, 578.0MiB allocated

Rules

5 856×	`lower-*.f32`
5 830×	`lower-*.f64`
4 966×	`lower-fma.f32`
4 944×	`lower-fma.f64`
2 784×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	685
0	125	546
1	541	501
2	4389	501
0	9066	492

Stop Event

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

Counts

29 → 949

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 1 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)))
(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 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 eps (.f64 eps eps))
(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(fma.f64 (+.f64 eps (tan.f64 eps)) eps (*.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps))))
(+.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps)))
(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
#s(approx (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (*.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))
(*.f64 eps #s(literal -6561/4480000 binary64))
(.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)))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 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 (tan.f64 eps))
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))

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

eval248.0ms (1.2%)

Memory: -4.8MiB live, 530.9MiB allocated
Compiler: Compiled 102 412 to 4 223 computations (95.9% saved)

prune323.0ms (1.5%)

Memory

17.1MiB live, 312.6MiB allocated

Pruning

25 alts after pruning (14 fresh and 11 done)

	Pruned	Kept	Total
New	1 729	9	1 738
Fresh	0	5	5
Picked	1	4	5
Done	1	7	8
Total	1 731	25	1 756

Accuracy

100.0%

Counts

1 756 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps (.f64 eps eps)) (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
	3.3%	(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)) (.f64 eps (+.f64 eps (tan.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
✓	3.4%	(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
✓	3.2%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	2.7%	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
✓	2.6%	(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
	2.8%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (pow.f64 eps #s(literal 3 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 (tan.f64 eps)))
	2.8%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) eps)) (-.f64 eps (tan.f64 eps)))
✓	2.8%	(/.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)))
	2.8%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	2.6%	(/.f64 #s(approx (* (- eps (sin eps)) (+ eps (tan eps))) (.f64 eps (fma.f64 eps (/.f64 (+.f64 (sin.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)))) (neg.f64 eps)) eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))))
✓	3.2%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))))
	2.6%	(.f64 (+.f64 eps (tan.f64 eps)) (.f64 (-.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 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)))
✓	99.6%	#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)))
✓	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) #s(literal -1/64 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 1/8 binary64)))))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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(approx (- 1/4 ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (* eps eps) -1/2))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/224000 binary64) #s(literal -27/5600 binary64)) #s(literal 9/80 binary64)) #s(literal 1/4 binary64))))))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) #s(approx (* (+ (* (* 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) (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)))))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
✓	98.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 2 239 to 608 computations (72.8% saved)

regimes34.0ms (0.2%)

Memory

-21.0MiB live, 17.5MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) #s(approx (* (+ (* (* 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) (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 (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.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))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 (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) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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(approx (- 1/4 ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (* eps eps) -1/2))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/224000 binary64) #s(literal -27/5600 binary64)) #s(literal 9/80 binary64)) #s(literal 1/4 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 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.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)))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (pow.f64 eps #s(literal 3 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 (tan.f64 eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) #s(literal -1/64 binary64)) (.f64 (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(approx ( (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (* (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40) (+ (* (* eps eps) (+ (* eps (* eps 27/112000)) -27/2800)) 9/40))) (fma.f64 eps (.f64 eps #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 1/8 binary64)))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(.f64 (+.f64 eps (tan.f64 eps)) (.f64 (-.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) eps (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)) (.f64 eps (+.f64 eps (tan.f64 eps)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))))
(/.f64 #s(approx (* (- eps (sin eps)) (+ eps (tan eps))) (.f64 eps (fma.f64 eps (/.f64 (+.f64 (sin.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)))) (neg.f64 eps)) eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 eps (tan.f64 eps))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps (.f64 eps eps)) (.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (*.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (+.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (+.f64 eps (sin.f64 eps)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (+.f64 eps (sin.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (.f64 (.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))) (+.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)))

Calls

2 calls:

22.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
10.0ms	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)

regimes4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`eps`
99.6%	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

3.9MiB live, 3.9MiB 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 (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`eps`
99.2%	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

3.3MiB live, 3.3MiB 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
98.3%	1	`eps`
98.3%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify6.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	74
1	27	74

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness335.0ms (1.6%)

Memory

-25.5MiB live, 90.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 41 computations (46.8% saved)

preprocess66.0ms (0.3%)

Memory: 37.4MiB live, 75.9MiB allocated
Remove: (abs eps)
Compiler: Compiled 226 to 120 computations (46.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze357.0ms (1.7%)

sample9.7s (46.2%)

explain617.0ms (2.9%)

preprocess95.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.2%)

localize264.0ms (1.3%)

series5.0ms (0%)

simplify319.0ms (1.5%)

rewrite258.0ms (1.2%)

eval46.0ms (0.2%)

prune81.0ms (0.4%)

simplify348.0ms (1.7%)

localize1.2s (5.6%)

series47.0ms (0.2%)

simplify395.0ms (1.9%)

rewrite324.0ms (1.5%)

eval181.0ms (0.9%)

prune214.0ms (1%)

simplify615.0ms (2.9%)

localize1.1s (5.4%)

series41.0ms (0.2%)

simplify343.0ms (1.6%)

rewrite377.0ms (1.8%)

eval320.0ms (1.5%)

prune493.0ms (2.4%)

simplify555.0ms (2.7%)

localize902.0ms (4.3%)

series32.0ms (0.2%)

simplify277.0ms (1.3%)

rewrite392.0ms (1.9%)

eval248.0ms (1.2%)

prune323.0ms (1.5%)

regimes34.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0%)

soundness335.0ms (1.6%)

preprocess66.0ms (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