Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze376.0ms (2%)

Memory

17.6MiB live, 444.1MiB 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)

sample9.6s (51.3%)

Memory

75.4MiB live, 9 750.4MiB allocated

Samples

6.9s	4 515×	2	valid
1.4s	1 164×	3	valid
667.0ms	2 435×	1	valid
28.0ms	142×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.6s

ival-tan: 4.8s (56% of total)

ival-sin: 2.6s (30% of total)

adjust: 395.0ms (4.6% of total)

const: 323.0ms (3.8% of total)

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

ival-div: 104.0ms (1.2% of total)

ival-<=: 75.0ms (0.9% of total)

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

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

Bogosity

explain579.0ms (3.1%)

Memory

27.0MiB live, 946.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
175	-	0	-	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
81	-	1	(-0.31290075077615764)	`(-.f64 eps (sin.f64 eps))`
80	-	1	(-0.17652051278439249)	`(-.f64 eps (tan.f64 eps))`
0	-	0	-	`(tan.f64 eps)`
0	-	0	-	`eps`
0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	175	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	175
↳	`(-.f64 eps (tan.f64 eps))`	underflow	175
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	80	1
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	79	1

Confusion

	Predicted +	Predicted -
+	254	0
-	1	1

Precision

0.996078431372549

Recall

1.0

Confusion?

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

Precision?

0.9921875

Recall?

1.0

Freqs

test

number	freq
0	1
1	176
2	79

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

418.0ms	292×	2	valid
71.0ms	72×	3	valid
24.0ms	138×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 475.0ms

ival-tan: 289.0ms (60.9% of total)

ival-sin: 143.0ms (30.1% of total)

adjust: 19.0ms (4% of total)

ival-sub: 17.0ms (3.6% of total)

ival-div: 7.0ms (1.5% of total)

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

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

preprocess50.0ms (0.3%)

Memory

5.6MiB live, 81.7MiB 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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify30.0ms (0.2%)

Memory

-5.9MiB live, 34.2MiB 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 (1.4%)

Memory

-43.3MiB live, 349.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	17.848817727911886	(-.f64 eps (tan.f64 eps))
accuracy	17.849820752276724	(-.f64 eps (sin.f64 eps))
accuracy	43.48110504702298	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

205.0ms	146×	2	valid
37.0ms	36×	3	valid
12.0ms	69×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-tan: 126.0ms (52.8% of total)

ival-sin: 65.0ms (27.3% of total)

ival-sub: 34.0ms (14.3% of total)

adjust: 10.0ms (4.2% of total)

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

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

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

series4.0ms (0%)

Memory

9.4MiB live, 9.4MiB 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))

simplify235.0ms (1.3%)

Memory

16.6MiB live, 287.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

rewrite295.0ms (1.6%)

Memory

-6.4MiB live, 383.3MiB 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)))))

eval49.0ms (0.3%)

Memory: 13.8MiB live, 94.4MiB allocated
Compiler: Compiled 12 477 to 1 225 computations (90.2% saved)

prune84.0ms (0.4%)

Memory

-9.4MiB live, 153.7MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	449	13	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	449	14	463

Accuracy

100.0%

Counts

463 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.5%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (neg.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)))
	1.7%	(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 (-.f64 (.f64 eps (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
▶	3.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.9%	(/.f64 (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
▶	2.2%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	2.6%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
	2.0%	(.f64 (fma.f64 eps (-.f64 eps (tan.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
	2.6%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
	99.6%	#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)))
	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 540 to 278 computations (48.5% saved)

simplify179.0ms (1%)

Memory

18.5MiB live, 235.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 eps)
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
cost-diff	6976	(fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
cost-diff	0	(neg.f64 (*.f64 eps eps))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))
cost-diff	128	(+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))))
cost-diff	128	(/.f64 (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
cost-diff	0	(.f64 eps (.f64 eps eps))
cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	#s(approx (/ (- eps (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

9 082×	`lower-fma.f32`
9 068×	`lower-fma.f64`
3 088×	`lower-*.f32`
3 074×	`lower-*.f64`
2 202×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	395
0	93	387
1	199	385
2	477	385
3	1208	385
4	2792	385
5	5111	379
0	8171	375

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)
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))))
(neg.f64 (*.f64 eps eps))
(*.f64 eps eps)
eps
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
(*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
(/.f64 eps (+.f64 eps (tan.f64 eps)))
(+.f64 eps (tan.f64 eps))
(tan.f64 eps)
(neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)

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

localize710.0ms (3.8%)

Memory

-0.9MiB live, 1 110.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	17.832472451304906	(fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
accuracy	17.849820752276724	(-.f64 eps (sin.f64 eps))
accuracy	29.426924332142885	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))
accuracy	43.48110504702298	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
accuracy	12.329536185526495	(+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))))
accuracy	17.848817727911886	(-.f64 (tan.f64 eps) eps)
accuracy	28.737079172611498	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))
accuracy	49.19990225582867	(/.f64 (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
accuracy	0.10365852017136078	#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	0.12109375	(.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	17.848817727911886	(-.f64 eps (tan.f64 eps))
accuracy	43.48110504702298	(/.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	0.8935099262771229	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0.015625	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
accuracy	0.02734375	(*.f64 eps #s(literal 27/112000 binary64))
accuracy	0.14510486386608404	#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	0.3828125	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

385.0ms	146×	2	valid
120.0ms	36×	3	valid
116.0ms	70×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 350 to 53 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 553.0ms

ival-tan: 145.0ms (26.2% of total)

ival-cos: 78.0ms (14.1% of total)

ival-sin: 71.0ms (12.8% of total)

ival-mult: 62.0ms (11.2% of total)

adjust: 46.0ms (8.3% of total)

ival-add: 46.0ms (8.3% of total)

ival-div: 41.0ms (7.4% of total)

const: 39.0ms (7.1% of total)

ival-sub: 11.0ms (2% of total)

ival-pow2: 7.0ms (1.3% of total)

ival-neg: 5.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory

10.1MiB live, 48.9MiB 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 (/.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 (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))) (patch (/.f64 (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (patch (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 eps eps)) (patch (neg.f64 (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))) (patch (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))) #<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 (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 (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<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>) () ())) ())
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#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 (* 1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 1/2 eps) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1/2 (* 1/4 (pow eps 2)))) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2)))))) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2)))))))) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (taylor inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps) (taylor inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps) (taylor inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps) (taylor inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(* eps (+ (* eps (* eps 27/112000)) -27/2800))
1.0ms	eps	@	-inf	(/ (+ (neg (* eps eps)) (+ 1/2 (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin eps))))
1.0ms	eps	@	0	(/ (+ (neg (* eps eps)) (+ 1/2 (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin eps))))
1.0ms	eps	@	inf	(/ (+ (neg (* eps eps)) (+ 1/2 (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin eps))))
1.0ms	eps	@	inf	(+ (* eps (/ eps (+ eps (tan eps)))) (neg (/ (pow (tan eps) 2) (+ eps (tan eps)))))

simplify312.0ms (1.7%)

Memory

-14.5MiB live, 315.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 986×	`lower-fma.f64`
9 986×	`lower-fma.f32`
4 752×	`lower-*.f64`
4 752×	`lower-*.f32`
3 722×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	3569
1	1442	3304
2	4777	3080
0	8444	2955

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 255

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)))
(* 1/6 (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 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (pow eps 2)))) (+ (* -1 (/ (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) (pow eps 2))))))
(- (+ 1 (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (pow eps 2))) (* -1 (/ (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)))))) (* -1 (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (cos eps)))) (pow eps 3))))) (+ (* -1 (/ (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) (pow eps 2))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) eps)) (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) eps)) (* -1 (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) eps)) (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))))) eps)))
(* -1/3 (pow eps 4))
(* (pow eps 4) (- (* 2/45 (pow eps 2)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (+ 2/45 (* (pow eps 2) (- (* 2/14175 (pow eps 2)) 1/315)))) 1/3))
(* -1 (pow eps 2))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (* 2 eps)) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (* 2 eps)) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (* 2 eps)) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* -1 (pow eps 2))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (neg (* -2 eps))) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (neg (* -2 eps))) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (neg (* -2 eps))) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1/3 (pow eps 2))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) eps)))
(* 1/6 (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)
(* -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)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (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)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.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 (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))) (neg.f64 eps)) (fma.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.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 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 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 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 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)))))
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(.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 #s(literal 27/112000 binary64) (.f64 eps (*.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)))))
(* -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))
(* -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 (.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 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (.f64 eps (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (.f64 eps (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (.f64 eps (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (.f64 eps (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (.f64 eps (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (.f64 eps (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* 1/3 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.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) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.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)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 41/360 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 149/3024 binary64)) #s(literal 41/360 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps)) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 5 binary64))))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps)) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps)) eps)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))))) eps)) eps)

rewrite339.0ms (1.8%)

Memory

29.3MiB live, 461.8MiB allocated

Rules

4 768×	`lower-*.f32`
4 754×	`lower-*.f64`
3 960×	`lower-fma.f32`
3 946×	`lower-fma.f64`
3 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	276
0	93	282
1	407	238
2	3265	238
0	8142	235

Stop Event

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

Counts

22 → 885

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

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

eval273.0ms (1.5%)

Memory: -4.3MiB live, 340.8MiB allocated
Compiler: Compiled 49 990 to 3 149 computations (93.7% saved)

prune266.0ms (1.4%)

Memory

5.6MiB live, 445.3MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 246	6	1 252
Fresh	5	3	8
Picked	1	4	5
Done	0	1	1
Total	1 252	14	1 266

Accuracy

100.0%

Counts

1 266 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.9%	(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
▶	1.3%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (-.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
	2.0%	(/.f64 (-.f64 (.f64 eps (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	3.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.1%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
▶	2.2%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))) (-.f64 eps (tan.f64 eps)))
✓	2.2%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	2.6%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.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))))
✓	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)))
▶	99.4%	#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)))
✓	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 492 to 259 computations (47.4% saved)

simplify243.0ms (1.3%)

Memory

2.9MiB live, 431.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(*.f64 #s(literal 2 binary64) (+.f64 eps eps))
cost-diff	256	(*.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)))
cost-diff	320	(.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps eps))))))
cost-diff	384	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (-.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
cost-diff	0	(/.f64 (sin.f64 eps) eps)
cost-diff	0	#s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
cost-diff	1024	(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
cost-diff	0	(.f64 eps (.f64 eps eps))
cost-diff	0	#s(approx (- eps (sin eps)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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))))))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))) (-.f64 eps (tan.f64 eps)))
cost-diff	960	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))
cost-diff	0	#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(approx (+ ( eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
cost-diff	0	(.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps)
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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))))
cost-diff	640	(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)))

Rules

10 324×	`lower-fma.f32`
10 306×	`lower-fma.f64`
4 970×	`lower-*.f32`
4 938×	`lower-*.f64`
2 772×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	622
0	121	604
1	265	562
2	654	554
3	1858	542
4	6766	542
0	8380	518

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

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

localize971.0ms (5.2%)

Memory

-0.1MiB live, 1 164.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))
accuracy	12.354975618023065	(-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps)))))))
accuracy	17.374378941811134	(-.f64 (tan.f64 eps) eps)
accuracy	45.474289680369594	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (-.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
accuracy	0.00390625	(/.f64 (sin.f64 eps) eps)
accuracy	17.374378941811123	(-.f64 eps (tan.f64 eps))
accuracy	17.374561587558283	(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
accuracy	39.755492471563905	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
accuracy	0.10365852017136078	#s(approx (- eps (sin eps)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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))))))
accuracy	0.1328125	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))
accuracy	17.374378941811123	(-.f64 eps (tan.f64 eps))
accuracy	39.755492471563905	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))) (-.f64 eps (tan.f64 eps)))
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	0.14510486386608404	#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	0.7808172330076465	#s(approx (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40) #s(literal 9/40 binary64))
accuracy	0.0625	(.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps)
accuracy	0.09765625	(*.f64 eps #s(literal 9/40 binary64))
accuracy	0.14510486386608404	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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))))
accuracy	0.16015625	(.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

524.0ms	134×	3	valid
89.0ms	56×	2	valid
59.0ms	17×	5	exit
42.0ms	36×	1	valid
34.0ms	9×	4	valid
2.0ms	4×	0	valid

Compiler

Compiled 537 to 68 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 640.0ms

ival-tan: 135.0ms (21.1% of total)

ival-add: 106.0ms (16.6% of total)

ival-sin: 85.0ms (13.3% of total)

adjust: 84.0ms (13.1% of total)

ival-mult: 82.0ms (12.8% of total)

ival-cos: 63.0ms (9.8% of total)

const: 48.0ms (7.5% of total)

ival-sub: 19.0ms (3% of total)

ival-div: 17.0ms (2.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.2%)

Memory

18.5MiB live, 54.4MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (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))) (patch (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))) #<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 (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 6)) (taylor inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 6)) (taylor -inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 (.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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 (.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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 (.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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 (.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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 (.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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 (.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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 (pow eps 3)) (taylor 0 eps) (#s(alt (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) (patch (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) (patch (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) (patch (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) (patch (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (patch (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (patch (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) #<representation binary64>) () ())) ())
#s(alt (pow eps 4) (taylor -inf eps) (#s(alt (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (patch (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- 1 (/ 1 (pow eps 2)))) (taylor -inf eps) (#s(alt (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (patch (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (patch (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (patch (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow eps 4)) (taylor 0 eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 2/3 (* 19/90 (pow eps 2)))) (taylor 0 eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 19/90 (* 223/2520 (pow eps 2)))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 19/90 (* (pow eps 2) (+ 223/2520 (* 8117/226800 (pow eps 2)))))))) (taylor 0 eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow eps 2)) (taylor inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))) 1)) (taylor inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) 1)) (taylor inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) 1)) (taylor inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow eps 2)) (taylor -inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)) (taylor -inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))) eps)) 1)) (taylor -inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))) eps)) 1)) (taylor -inf eps) (#s(alt (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) (patch (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin eps))))
2.0ms	eps	@	-inf	(/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin eps))))
1.0ms	eps	@	inf	(/ (sin eps) eps)
1.0ms	eps	@	0	(/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin eps))))
1.0ms	eps	@	inf	(* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))

simplify301.0ms (1.6%)

Memory

-3.6MiB live, 403.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 100×	`lower-fma.f64`
12 100×	`lower-fma.f32`
5 418×	`lower-*.f64`
5 418×	`lower-*.f32`
4 190×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	3863
1	1221	3657
2	4128	3508
0	8548	3353

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 292

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (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 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 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 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 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)
(* 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)))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
-1/2
(- (* 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)))
(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)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -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
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin 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) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (- 1/2 (* -1/2 (cos (* 2 eps)))))) (+ (* -1 (* (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))))) (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (* -1 (/ (pow (sin eps) 2) (cos eps)))))) (/ (* (sin eps) (- 1/2 (* -1/2 (cos (* 2 eps))))) (cos eps))))) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (- 1/2 (* -1/2 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1 (pow eps 2)) (/ (sin eps) eps)))))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* -1/2 (cos (neg (* -2 eps))))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) eps)) (/ 1 eps)))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin eps) (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (* eps (cos eps)))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2))))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)) (+ (* -1 (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (* -1 (/ (pow (sin eps) 2) (cos eps))))) eps)) (/ (* (sin eps) (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) eps)))) (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)))))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
1/4
(+ 1/4 (* -1 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (- (* 4/3 (pow eps 2)) 1)))
(+ 1/4 (* (pow eps 2) (- (* (pow eps 2) (+ 4/3 (* -32/45 (pow eps 2)))) 1)))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
1/4
(+ 1/4 (* -1 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (- (pow eps 2) 1)))
(+ 1/4 (* (pow eps 2) (- (pow eps 2) 1)))
(pow eps 4)
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(pow eps 4)
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 4 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1/3 (pow eps 4))
(* (pow eps 4) (- (* 32/45 (pow eps 2)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (+ 32/45 (* -64/315 (pow eps 2)))) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (+ 32/45 (* (pow eps 2) (- (* 512/14175 (pow eps 2)) 64/315)))) 1/3))
(pow eps 4)
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(pow eps 4)
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(* 2/3 (pow eps 4))
(* (pow eps 4) (+ 2/3 (* 19/90 (pow eps 2))))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 19/90 (* 223/2520 (pow eps 2))))))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 19/90 (* (pow eps 2) (+ 223/2520 (* 8117/226800 (pow eps 2))))))))
(* -1 (pow eps 2))
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))) 1))
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) 1))
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) 1))
(* -1 (pow eps 2))
(* (pow eps 2) (- (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)) 1))
(* (pow eps 2) (- (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))) eps)) 1))
(* (pow eps 2) (- (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))) eps)) 1))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(* -27/2800 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))
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(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) (-.f64 (+.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64)) eps)))) (-.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))))) (pow.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1 (pow eps 2)))
(-.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(+ 1/4 (* (pow eps 2) (- (* 4/3 (pow eps 2)) 1)))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (- (* (pow eps 2) (+ 4/3 (* -32/45 (pow eps 2)))) 1)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -32/45 binary64) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
(* 1/4 (+ 1/2 (* 1/2 (cos (* 4 eps)))))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1 (pow eps 2)))
(-.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(+ 1/4 (* (pow eps 2) (- (pow eps 2) 1)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow eps 2) (- (pow eps 2) 1)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 4 eps)
(*.f64 eps #s(literal 4 binary64))
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 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 (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.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 eps (.f64 eps #s(literal -62/2835 binary64)) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* 1/3 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.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) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.f64 (.f64 eps (.f64 eps 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)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1/3 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 4) (- (* 32/45 (pow eps 2)) 1/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 32/45 binary64) #s(literal -1/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (+ 32/45 (* -64/315 (pow eps 2)))) 1/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -64/315 binary64) #s(literal 32/45 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (+ 32/45 (* (pow eps 2) (- (* 512/14175 (pow eps 2)) 64/315)))) 1/3))
(.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 512/14175 binary64) #s(literal -64/315 binary64)) #s(literal 32/45 binary64)) #s(literal -1/3 binary64)))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) (/.f64 (fma.f64 (cos.f64 (.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) (/.f64 (fma.f64 (cos.f64 (.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(* (pow eps 4) (- 1 (/ 1 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) (/.f64 (fma.f64 (cos.f64 (.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(* (pow eps 4) (- (+ 1 (/ 1/4 (pow eps 4))) (+ (* 1/4 (/ (+ 1/2 (* 1/2 (cos (* 4 eps)))) (pow eps 4))) (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) (/.f64 (fma.f64 (cos.f64 (.f64 eps #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(* 2/3 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 2/3 binary64))
(* (pow eps 4) (+ 2/3 (* 19/90 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 19/90 binary64) #s(literal 2/3 binary64)))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 19/90 (* 223/2520 (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 223/2520 binary64)) #s(literal 19/90 binary64)) #s(literal 2/3 binary64)))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 19/90 (* (pow eps 2) (+ 223/2520 (* 8117/226800 (pow eps 2))))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 8117/226800 binary64) #s(literal 223/2520 binary64)) #s(literal 19/90 binary64)) #s(literal 2/3 binary64)))
(* -1 (pow eps 2))
(*.f64 eps (neg.f64 eps))
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))) 1))
(.f64 (.f64 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)))
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) 1))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 (sin.f64 eps) 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 (.f64 eps (cos.f64 eps)))) #s(literal -1 binary64))))
(* (pow eps 2) (- (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) 1))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 (sin.f64 eps) 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 (.f64 eps (cos.f64 eps)))) #s(literal -1 binary64))))
(* -1 (pow eps 2))
(*.f64 eps (neg.f64 eps))
(* (pow eps 2) (- (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)) 1))
(.f64 (.f64 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)))
(* (pow eps 2) (- (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))) eps)) 1))
(.f64 (.f64 eps eps) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (sin.f64 eps)) eps)))
(* (pow eps 2) (- (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))) eps)) 1))
(.f64 (.f64 eps eps) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (sin.f64 eps)) eps)))

rewrite384.0ms (2.1%)

Memory

-61.1MiB live, 363.8MiB allocated

Rules

3 094×	`lower-fma.f32`
3 076×	`lower-fma.f64`
2 518×	`lower-*.f32`
2 486×	`lower-*.f64`
1 652×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	403
0	121	377
1	511	325
0	4275	318

Stop Event

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

Counts

25 → 436

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (*.f64 eps #s(literal 9/40 binary64)))))
(+.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))
(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
(+.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(+.f64 (.f64 eps (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (*.f64 eps #s(literal 9/40 binary64)))) #s(literal -1/2 binary64))
(+.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -1/2 binary64)) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))
(-.f64 (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))
(fma.f64 eps (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))
(fma.f64 (.f64 eps eps) (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.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 (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)))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))
(fma.f64 (.f64 eps #s(literal 9/40 binary64)) eps (+.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))
(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 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))
(fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))))) (fma.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))))
(/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 eps (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 eps (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))))) (neg.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps)))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 eps (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))))
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(fma.f64 (-.f64 (tan.f64 eps) eps) eps (*.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps) (*.f64 eps (-.f64 (tan.f64 eps) eps)))
(fma.f64 (+.f64 eps (sin.f64 eps)) (tan.f64 eps) (*.f64 (+.f64 eps (sin.f64 eps)) (neg.f64 eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps))) (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (.f64 (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (.f64 eps eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps))) (-.f64 (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (.f64 (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (sin.f64 eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps 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 (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) (.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (.f64 eps eps)) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (+.f64 eps (tan.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))))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) (.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 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))))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 eps (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 eps) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 eps (-.f64 (tan.f64 eps) eps)) (.f64 eps (-.f64 (tan.f64 eps) eps)) (-.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) (.f64 (.f64 eps (-.f64 (tan.f64 eps) eps)) (.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps (-.f64 (tan.f64 eps) eps)) (.f64 eps (-.f64 (tan.f64 eps) eps))) (.f64 (.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))) (-.f64 (.f64 eps (-.f64 (tan.f64 eps) eps)) (.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(/.f64 (.f64 (-.f64 (tan.f64 eps) eps) (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(/.f64 (.f64 (-.f64 (tan.f64 eps) eps) (-.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 (.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (+.f64 eps (tan.f64 eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps))) (+.f64 eps (sin.f64 eps))) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (+.f64 eps (sin.f64 eps))) (+.f64 eps (tan.f64 eps)))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (tan.f64 eps) eps)) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (tan.f64 eps) eps)) (-.f64 eps (sin.f64 eps)))
(*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))
(*.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps))

eval118.0ms (0.6%)

Memory: 32.0MiB live, 285.2MiB allocated
Compiler: Compiled 30 979 to 2 133 computations (93.1% saved)

prune153.0ms (0.8%)

Memory

11.5MiB live, 405.5MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	830	4	834
Fresh	1	3	4
Picked	1	4	5
Done	1	4	5
Total	833	15	848

Accuracy

100.0%

Counts

848 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.9%	(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
	1.3%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (-.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 #s(approx (- (tan eps) eps) (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))) (+.f64 eps (sin.f64 eps))))
	2.0%	(/.f64 (-.f64 (.f64 eps (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	2.1%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
▶	2.3%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
✓	2.2%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))) (-.f64 eps (tan.f64 eps)))
✓	2.2%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	2.6%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	99.6%	#s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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))))
✓	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)))
✓	99.4%	#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)))
✓	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 519 to 262 computations (49.5% saved)

simplify253.0ms (1.4%)

Memory

-54.0MiB live, 375.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
cost-diff	640	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
cost-diff	1024	(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))
cost-diff	0	(neg.f64 eps)
cost-diff	0	(fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
cost-diff	0	(fma.f64 (*.f64 eps 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 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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)))
cost-diff	0	(.f64 eps (.f64 eps (*.f64 eps eps)))
cost-diff	0	(fma.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
cost-diff	320	(fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps)))))

Rules

12 008×	`lower-fma.f32`
11 988×	`lower-fma.f64`
4 244×	`lower-*.f32`
4 228×	`lower-*.f64`
2 812×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	435
0	117	419
1	243	394
2	565	394
3	1664	370
4	6297	370
0	8088	363

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 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
(fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(.f64 eps (.f64 eps (*.f64 eps eps)))
eps
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
#s(literal 81/1600 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(-.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))
(neg.f64 eps)
eps
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
#s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(/.f64 (sin.f64 eps) eps)
(sin.f64 eps)
eps
(neg.f64 eps)
#s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))
(*.f64 eps (cos.f64 eps))
(cos.f64 eps)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (/.f64 (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(fma.f64 eps (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))
(.f64 eps (.f64 eps (*.f64 eps eps)))
eps
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
#s(literal 81/1600 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))
(.f64 eps (.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))))
(fma.f64 eps (*.f64 eps #s(literal 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(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(-.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(neg.f64 eps)
eps
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 eps eps))
(+.f64 eps eps)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(+.f64 eps (sin.f64 eps))
(sin.f64 eps)
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
(/.f64 #s(approx (- eps (sin eps)) (-.f64 eps (sin.f64 eps))) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
#s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))
#s(approx (- eps (sin eps)) (-.f64 eps (sin.f64 eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(-.f64 eps (sin.f64 eps))
(/.f64 (sin.f64 eps) eps)
(sin.f64 eps)
eps
(neg.f64 eps)
#s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))
(*.f64 eps (cos.f64 eps))
(cos.f64 eps)

localize1.1s (5.9%)

Memory

-15.2MiB live, 833.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 eps (cos.f64 eps))
accuracy	17.842026715410483	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
accuracy	17.848973246900247	(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
accuracy	43.48110504702298	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
accuracy	17.84881772791187	(-.f64 (tan.f64 eps) eps)
accuracy	26.118010089982242	(fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))
accuracy	28.737079172611498	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))
accuracy	49.19990225582867	(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
accuracy	17.84881772791187	(-.f64 (tan.f64 eps) eps)
accuracy	17.849820752276724	(-.f64 (sin.f64 eps) eps)
accuracy	43.55923004702298	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
accuracy	0	(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))
accuracy	0	(*.f64 eps eps)
accuracy	0.0078125	(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
accuracy	0.23395237619547218	#s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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)))
accuracy	0.04296875	(.f64 eps (.f64 eps (*.f64 eps eps)))
accuracy	0.06640625	(.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))
accuracy	0.09375	(.f64 eps (.f64 eps eps))
accuracy	0.14510486386608404	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))

Samples

665.0ms	145×	3	valid
194.0ms	61×	2	valid
41.0ms	10×	4	valid
35.0ms	36×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 368 to 70 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 788.0ms

ival-cos: 268.0ms (34% of total)

ival-tan: 124.0ms (15.7% of total)

ival-mult: 94.0ms (11.9% of total)

adjust: 93.0ms (11.8% of total)

ival-sin: 68.0ms (8.6% of total)

ival-div: 51.0ms (6.5% of total)

ival-add: 36.0ms (4.6% of total)

ival-sub: 33.0ms (4.2% of total)

const: 20.0ms (2.5% of total)

exact: 1.0ms (0.1% of total)

ival-neg: 1.0ms (0.1% of total)

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

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

series23.0ms (0.1%)

Memory

18.1MiB live, 55.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))) (patch (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (patch (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 eps (.f64 eps (.f64 eps eps))) (patch (.f64 eps (.f64 eps (.f64 eps eps))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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))) (patch #s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (patch (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))) (patch (/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (patch (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) (patch (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (patch (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))) #<representation binary64>) () ())
#s(alt #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (patch #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (.f64 eps (.f64 eps eps)) (patch (.f64 eps (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (patch (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) #<representation binary64>) () ())
#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())
#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())

Outputs
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#s(alt (* -1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1/2 (pow eps 2)))) (taylor 0 eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))) (taylor 0 eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))) (taylor 0 eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor -inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor -inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor -inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (cos eps)) (taylor -inf eps) (#s(alt (.f64 eps (cos.f64 eps)) (patch (.f64 eps (cos.f64 eps)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(+ (* (/ (sin eps) (* eps (cos eps))) (neg eps)) eps)
1.0ms	eps	@	-inf	(* eps (cos eps))
0.0ms	eps	@	inf	(+ (* (* eps (* eps (* eps eps))) 81/1600) -1/4)
0.0ms	eps	@	0	(+ (* (+ (* (* eps (* eps (* eps eps))) 81/1600) -1/4) (/ 1 (+ (* (* eps eps) 9/40) 1/2))) (* (+ (* eps (* eps 27/112000)) -27/2800) (* eps (* eps (* eps eps)))))
0.0ms	eps	@	inf	(/ 1 (- (tan eps) eps))

simplify259.0ms (1.4%)

Memory

16.4MiB live, 447.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 746×	`lower-fma.f64`
8 746×	`lower-fma.f32`
5 134×	`lower-*.f64`
5 134×	`lower-*.f32`
3 142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	3703
1	1518	3513
2	5283	3379
0	8459	3230

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 280

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* 81/1600 (pow eps 4)) 1/4)
(* 81/1600 (pow eps 4))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(* 81/1600 (pow eps 4))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (- 1/2 (* -1/2 (cos (* 2 eps)))))) (+ (* -1 (* (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))))) (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (* -1 (/ (pow (sin eps) 2) (cos eps)))))) (/ (* (sin eps) (- 1/2 (* -1/2 (cos (* 2 eps))))) (cos eps))))) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (- 1/2 (* -1/2 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1 (pow eps 2)) (/ (sin eps) eps)))))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* -1/2 (cos (neg (* -2 eps))))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) eps)) (/ 1 eps)))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin eps) (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (* eps (cos eps)))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2))))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)) (+ (* -1 (/ (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (* -1 (/ (pow (sin eps) 2) (cos eps))))) eps)) (/ (* (sin eps) (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) eps)))) (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)))))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
-1/2
(- (* 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)))))
(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 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (pow eps 2)))) (+ (* -1 (/ (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) (pow eps 2))))))
(- (+ 1 (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (pow eps 2))) (* -1 (/ (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)))))) (* -1 (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (cos eps)))) (pow eps 3))))) (+ (* -1 (/ (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) (pow eps 2))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) eps)) (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) eps)) (* -1 (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) eps)) (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))))) eps)))
(* -1/3 (pow eps 4))
(* (pow eps 4) (- (* 2/45 (pow eps 2)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (+ 2/45 (* (pow eps 2) (- (* 2/14175 (pow eps 2)) 1/315)))) 1/3))
(* -1 (pow eps 2))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (* 2 eps)) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (* 2 eps)) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (* 2 eps)) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* -1 (pow eps 2))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (neg (* -2 eps))) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (neg (* -2 eps))) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* (pow eps 2) (- (+ (* -1/2 (/ (cos (neg (* -2 eps))) (pow eps 2))) (* 1/2 (/ 1 (pow eps 2)))) 1))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1/3 (pow eps 2))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 eps)))))
(* 1/6 (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)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 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)))
(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 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 4) (- (* 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 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- 27/112000 (* 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 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
eps
(* eps (+ 1 (* -1/2 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.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 #s(literal 27/112000 binary64) (+.f64 (/.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)))))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.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)))))
(fma.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (.f64 eps (cos.f64 eps))))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 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 (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 eps))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 eps (*.f64 eps (cos.f64 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 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.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 (sin.f64 eps) (-.f64 (/.f64 (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
-1/4
#s(literal -1/4 binary64)
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(* 81/1600 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* 81/1600 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 4) (- 81/1600 (* 1/4 (/ 1 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow eps 4)
(.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 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (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 (/ (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (- 1/2 (* -1/2 (cos (* 2 eps)))))) (+ (* -1 (* (+ 1 (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))))) (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (- 1/2 (* -1/2 (cos (* 2 eps))))) (* -1 (/ (pow (sin eps) 2) (cos eps)))))) (/ (* (sin eps) (- 1/2 (* -1/2 (cos (* 2 eps))))) (cos eps))))) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (- 1/2 (* -1/2 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1 (pow eps 2)) (/ (sin eps) eps)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (.f64 eps (.f64 eps eps))) (-.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64))) #s(literal -1/2 binary64)) (.f64 eps eps)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 (sin.f64 eps) eps)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64)) (*.f64 eps eps))))))))
1
#s(literal 1 binary64)
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(-.f64 eps (*.f64 eps (/.f64 (sin.f64 eps) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (*.f64 eps (/.f64 (sin.f64 eps) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (*.f64 eps (/.f64 (sin.f64 eps) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (*.f64 eps (/.f64 (sin.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))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* 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 (* 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 (* 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))))
(* 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 (* 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 (* 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))))
(* -1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.f64 (.f64 eps eps) (.f64 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))))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
eps
(* eps (+ 1 (* -1/2 (pow eps 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps)
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))

rewrite360.0ms (1.9%)

Memory

-21.3MiB live, 510.8MiB allocated

Rules

5 098×	`lower-fma.f32`
5 078×	`lower-fma.f64`
4 490×	`lower-*.f32`
4 474×	`lower-*.f64`
2 712×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	328
0	117	295
1	522	217
2	4592	211
0	8189	207

Stop Event

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

Counts

24 → 612

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
(fma.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(.f64 eps (.f64 eps (*.f64 eps eps)))
#s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))
(neg.f64 eps)
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
#s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))
(.f64 eps (.f64 eps eps))
(.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))
(-.f64 (sin.f64 eps) eps)
(*.f64 eps (cos.f64 eps))

Outputs
(+.f64 (.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 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(+.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (-.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))) (/.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))) (-.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (.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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (fma.f64 (*.f64 eps 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.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 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (.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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (.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 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))) (fma.f64 (*.f64 eps 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps)) (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps eps))) eps (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps eps)) eps (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal 9/80 binary64))) (.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 (/.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))))))
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(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
(.f64 eps (.f64 eps eps))
(.f64 (.f64 eps eps) eps)
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (.f64 eps eps)))))
(+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 eps (.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 eps (.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps #s(literal -27/2800 binary64)) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps #s(literal -27/2800 binary64)) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -27/2800 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -27/2800 binary64) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))
(fma.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(/.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64))) (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 729/12544000000 binary64) (-.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 eps eps) #s(literal -729/313600000 binary64)))))
(/.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 729/12544000000 binary64) #s(literal -729/7840000 binary64))) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 729/12544000000 binary64) (-.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 eps eps) #s(literal -729/313600000 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 729/12544000000 binary64) #s(literal -729/7840000 binary64)) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 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 (.f64 eps eps)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))
(.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))
(.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps (*.f64 eps eps)))
(.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps eps)) (*.f64 eps eps))
(.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (*.f64 eps eps))) eps)
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) (*.f64 eps eps))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (*.f64 eps eps)) eps)
(+.f64 (sin.f64 eps) (neg.f64 eps))
(+.f64 (neg.f64 eps) (sin.f64 eps))
(+.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (neg.f64 eps) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (.f64 #s(literal 1 binary64) (neg.f64 eps)))
(-.f64 (sin.f64 eps) eps)
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (+.f64 eps (sin.f64 eps))) (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps))))
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (sin.f64 eps) #s(literal 0 binary64)) eps)
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1 binary64) (sin.f64 eps))
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) eps (sin.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (+.f64 eps (sin.f64 eps)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (-.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 (*.f64 eps (sin.f64 eps))))))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (sin.f64 eps) (neg.f64 eps)))
(pow.f64 (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps))
(*.f64 (-.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (fma.f64 eps (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (.f64 eps eps)))
(.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (-.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 eps (sin.f64 eps)))
(*.f64 eps (cos.f64 eps))
(*.f64 (cos.f64 eps) eps)

eval152.0ms (0.8%)

Memory: 12.0MiB live, 407.1MiB allocated
Compiler: Compiled 34 014 to 2 221 computations (93.5% saved)

prune185.0ms (1%)

Memory

13.9MiB live, 492.7MiB allocated

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	1 112	3	1 115
Fresh	0	2	2
Picked	1	4	5
Done	0	8	8
Total	1 113	17	1 130

Accuracy

100.0%

Counts

1 130 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.9%	(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
	1.3%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (-.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 #s(approx (- (tan eps) eps) (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))) (+.f64 eps (sin.f64 eps))))
	2.0%	(/.f64 (-.f64 (.f64 eps (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	2.1%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
	2.9%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
✓	2.2%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))) (-.f64 eps (tan.f64 eps)))
✓	2.2%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	2.6%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
✓	99.6%	#s(approx (/ (/ (- (* (+ (* eps (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 6561/2560000 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal 9/80 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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))))
✓	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)))
✓	99.4%	#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)))
✓	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 1 098 to 370 computations (66.3% saved)

regimes18.0ms (0.1%)

Memory

-13.1MiB live, 25.0MiB allocated

Counts

27 → 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 (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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)))
#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 (.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))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 6561/2560000 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal 9/80 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 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)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps 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)))))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 (fma.f64 (neg.f64 eps) eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(/.f64 (+.f64 (neg.f64 (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
(/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (-.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (sin.f64 eps))))
(.f64 (fma.f64 eps (-.f64 eps (tan.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))))) (-.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 #s(approx (- (tan eps) eps) (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))) (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (.f64 eps (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (neg.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)))

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:

8.0ms	eps
7.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 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 (neg eps)) 1/2) (+ (* eps (neg eps)) 1/2)) (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 (+ eps eps))))))) (- (+ (* eps (neg eps)) 1/2) (* -1/2 (cos (+ eps eps))))) (* (- (tan eps) eps) (+ eps (sin 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)))

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

6.3MiB live, 6.3MiB 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
99.4%	1	`eps`
99.4%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0%)

Memory

-33.2MiB live, 5.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
98.6%	1	`eps`
98.6%	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

9.8MiB live, 9.8MiB 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))

soundness385.0ms (2.1%)

Memory

-8.6MiB live, 235.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 41 computations (46.8% saved)

preprocess57.0ms (0.3%)

Memory: 11.5MiB live, 137.2MiB 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%)

analyze376.0ms (2%)

sample9.6s (51.3%)

explain579.0ms (3.1%)

preprocess50.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.2%)

localize264.0ms (1.4%)

series4.0ms (0%)

simplify235.0ms (1.3%)

rewrite295.0ms (1.6%)

eval49.0ms (0.3%)

prune84.0ms (0.4%)

simplify179.0ms (1%)

localize710.0ms (3.8%)

series30.0ms (0.2%)

simplify312.0ms (1.7%)

rewrite339.0ms (1.8%)

eval273.0ms (1.5%)

prune266.0ms (1.4%)

simplify243.0ms (1.3%)

localize971.0ms (5.2%)

series44.0ms (0.2%)

simplify301.0ms (1.6%)

rewrite384.0ms (2.1%)

eval118.0ms (0.6%)

prune153.0ms (0.8%)

simplify253.0ms (1.4%)

localize1.1s (5.9%)

series23.0ms (0.1%)

simplify259.0ms (1.4%)

rewrite360.0ms (1.9%)

eval152.0ms (0.8%)

prune185.0ms (1%)

regimes18.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

simplify6.0ms (0%)

soundness385.0ms (2.1%)

preprocess57.0ms (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