Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze360.0ms (1.9%)

Memory

28.2MiB live, 453.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.9s (53.3%)

Memory

108.9MiB live, 9 469.8MiB allocated

Samples

6.9s	4 484×	2	valid
1.5s	1 172×	3	valid
1.1s	2 487×	1	valid
11.0ms	113×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.1s

ival-tan: 4.9s (53.6% of total)

ival-sin: 3.0s (33.3% of total)

const: 353.0ms (3.9% of total)

adjust: 318.0ms (3.5% of total)

ival-sub: 311.0ms (3.4% of total)

ival-div: 135.0ms (1.5% of total)

ival-<=: 55.0ms (0.6% of total)

ival-and: 13.0ms (0.1% of total)

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

Bogosity

explain569.0ms (3.1%)

Memory

-11.0MiB live, 882.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
164	-	1	(-3.8610786025483246e-106)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
93	-	0	-	`(-.f64 eps (tan.f64 eps))`
93	-	0	-	`(-.f64 eps (sin.f64 eps))`
0	-	0	-	`(tan.f64 eps)`
0	-	0	-	`eps`
0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	163	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	163
↳	`(-.f64 eps (tan.f64 eps))`	underflow	163
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	93	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	93	0

Confusion

	Predicted +	Predicted -
+	254	0
-	2	0

Precision

0.9921875

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	2	0	0

Precision?

0.9921875

Recall?

1.0

Freqs

test

number	freq
1	163
2	93

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

340.0ms	264×	2	valid
89.0ms	84×	3	valid
24.0ms	154×	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: 429.0ms

ival-tan: 227.0ms (52.9% of total)

ival-sin: 160.0ms (37.3% of total)

adjust: 17.0ms (4% of total)

ival-sub: 17.0ms (4% of total)

ival-div: 8.0ms (1.9% of total)

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

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

preprocess53.0ms (0.3%)

Memory

-7.7MiB live, 98.2MiB 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)))
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify23.0ms (0.1%)

Memory

-2.4MiB live, 37.1MiB 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 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize312.0ms (1.7%)

Memory

9.5MiB live, 404.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	20.652066484620757	(-.f64 eps (sin.f64 eps))
accuracy	20.652910231995694	(-.f64 eps (tan.f64 eps))
accuracy	40.618236411416795	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

253.0ms	132×	2	valid
37.0ms	42×	3	valid
12.0ms	77×	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: 291.0ms

ival-tan: 193.0ms (66.4% of total)

ival-sin: 73.0ms (25.1% of total)

adjust: 11.0ms (3.8% of total)

ival-sub: 9.0ms (3.1% of total)

ival-div: 4.0ms (1.4% of total)

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

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

series4.0ms (0%)

Memory

10.9MiB live, 10.9MiB 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 (* 1/6 (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 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 (* -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 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 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 (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 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 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 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 (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 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

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)))

1.0ms

eps

-inf

((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)))

1.0ms

eps

((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)))

simplify179.0ms (1%)

Memory

-16.8MiB live, 196.8MiB 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	5649	444
0	8475	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)
(* 1/6 (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 (* -1/6 (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))))
(* -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))
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))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
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))))))
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)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(sin eps)
(sin eps)
(sin eps)
(sin 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)
(* -1/3 (pow eps 3))
(.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
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 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (sin.f64 eps) (/.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)))
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))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
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)))
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 (/.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 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.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) #s(literal 1 binary64))
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))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.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)))

rewrite171.0ms (0.9%)

Memory

12.7MiB live, 240.7MiB 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
(.f64 (/.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 eps (tan.f64 eps))) (fma.f64 (.f64 eps 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 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 eps (sin.f64 eps)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (pow.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 eps eps) (pow.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (.f64 eps eps)) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (/.f64 #s(literal -1 binary64) (-.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(.f64 (/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(.f64 (/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) (-.f64 eps (sin.f64 eps))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)))
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(fma.f64 (/.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (/.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) eps)
(fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (.f64 (.f64 eps eps) eps) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps)
(fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
(fma.f64 eps (/.f64 (.f64 eps eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(-.f64 (+.f64 eps #s(literal 0 binary64)) (tan.f64 eps))
(-.f64 (/.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) #s(literal 1 binary64)))
(-.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (tan.f64 eps) #s(literal 1 binary64)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (tan.f64 eps)))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(+.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 eps (neg.f64 (tan.f64 eps)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))) #s(literal -1 binary64)))

eval45.0ms (0.2%)

Memory: 1.4MiB live, 83.8MiB allocated
Compiler: Compiled 12 477 to 1 219 computations (90.2% saved)

prune115.0ms (0.6%)

Memory

11.3MiB live, 119.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	454	8	462
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	455	8	463

Accuracy

100.0%

Counts

463 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
	3.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
▶	1.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
	1.7%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (-.f64 eps (tan.f64 eps)))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 326 to 156 computations (52.1% saved)

simplify213.0ms (1.1%)

Memory

-18.6MiB live, 191.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)))
cost-diff	384	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
cost-diff	14016	(-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
cost-diff	20480	(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
cost-diff	192	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Rules

11 554×	`lower-fma.f32`
11 540×	`lower-fma.f64`
4 764×	`lower-*.f32`
4 756×	`lower-*.f64`
2 250×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	372
0	73	372
1	142	326
2	343	302
3	1320	298
4	5027	298
0	8455	298

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

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

localize532.0ms (2.9%)

Memory

34.0MiB live, 957.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	9.50329012730153	(-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
accuracy	20.652910231995694	(-.f64 eps (tan.f64 eps))
accuracy	40.618236411416795	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
accuracy	51.993686907379725	(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
accuracy	20.652066484620757	(-.f64 eps (sin.f64 eps))
accuracy	20.678046562820015	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
accuracy	40.618236411416795	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
accuracy	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.00390625	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.08191509887346551	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.6256957207839868	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.00390625	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0.02845860241743066	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Samples

299.0ms	132×	2	valid
89.0ms	77×	1	valid
88.0ms	42×	3	valid
12.0ms	5×	0	valid

Compiler

Compiled 366 to 43 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-tan: 104.0ms (25% of total)

ival-sin: 69.0ms (16.6% of total)

ival-mult: 40.0ms (9.6% of total)

adjust: 38.0ms (9.1% of total)

ival-cos: 37.0ms (8.9% of total)

ival-div: 31.0ms (7.4% of total)

ival-sub: 31.0ms (7.4% of total)

ival-add: 28.0ms (6.7% of total)

const: 18.0ms (4.3% of total)

ival-pow: 8.0ms (1.9% of total)

ival-pow2: 7.0ms (1.7% of total)

ival-neg: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series29.0ms (0.2%)

Memory

19.6MiB live, 58.6MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())
#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) (patch (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) #<representation binary64>) () ())
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (patch (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (patch (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps 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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 9/40 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* -27/2800 (pow eps 2))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (patch (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1))) (taylor -inf eps) (#s(alt (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (patch (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1))) (taylor -inf eps) (#s(alt (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (patch (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1))) (taylor -inf eps) (#s(alt (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (patch (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps 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

3 calls:

Time

Variable

Point

Expression

8.0ms

eps

inf

((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps) (/ 1 (neg (cos eps))) (/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps)) (- eps (sin eps)) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (- eps (tan eps)))

8.0ms

eps

-inf

((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps) (/ 1 (neg (cos eps))) (/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps)) (- eps (sin eps)) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (- eps (tan eps)))

4.0ms

eps

((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps) (/ 1 (neg (cos eps))) (/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps)) (- eps (sin eps)) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (- eps (tan eps)))

simplify176.0ms (0.9%)

Memory

-28.0MiB live, 202.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 596×	`lower-fma.f64`
9 596×	`lower-fma.f32`
4 358×	`lower-*.f64`
4 358×	`lower-*.f32`
2 980×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	421	3408
1	1277	3153
2	4528	2889
0	8459	2762

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 208

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)
-1/2
(- (* 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)
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)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (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)
-1/2
(- (* 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)
-1/2
(- (* 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)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(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))
-1
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 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)
(* 1/6 (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))))
(* 1/6 (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))))
(* 3/2 (pow eps 7))
(* (pow eps 7) (+ 3/2 (* -23/40 (pow eps 2))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* 611/5040 (pow eps 2)) 23/40))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* (pow eps 2) (+ 611/5040 (* -1513/86400 (pow eps 2)))) 23/40))))
-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)
(* 3 (pow eps 5))
(* (pow eps 5) (+ 3 (* -1/2 (pow eps 2))))
(* (pow eps 5) (+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))))
(* (pow eps 5) (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 1/2))))
(* -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))
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))))))
(* 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 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 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(- (+ 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) 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))))))
(* -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 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))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
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))))))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
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))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(* (pow eps 5) (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
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))))))
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)))
(* 27/112000 (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 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 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(+ 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
(+ 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 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 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))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
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 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))) eps)) 1)))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #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 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 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)
(* -1/3 (pow eps 3))
(.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
-1
#s(literal -1 binary64)
(- (* -1/2 (pow eps 2)) 1)
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal -1 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 eps eps) #s(literal -5/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
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(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
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(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))) eps)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (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 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(+.f64 (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) (neg.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (fma.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))) eps) (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (cos.f64 eps))) eps)))) eps)) eps) #s(literal 1 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(*.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)

rewrite265.0ms (1.4%)

Memory

6.6MiB live, 299.1MiB allocated

Rules

4 768×	`lower-/.f32`
4 762×	`lower-/.f64`
4 318×	`lower-*.f32`
4 310×	`lower-*.f64`
2 812×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	290
0	73	210
1	313	182
2	2455	182
0	8310	182

Stop Event

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

Counts

18 → 1 021

Calls

Call 1

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

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

eval187.0ms (1%)

Memory: 22.3MiB live, 280.7MiB allocated
Compiler: Compiled 65 148 to 2 897 computations (95.6% saved)

prune499.0ms (2.7%)

Memory

-65.9MiB live, 376.6MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 367	6	1 373
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	1 370	11	1 381

Accuracy

100.0%

Counts

1 381 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.0%	(/.f64 (fma.f64 (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (.f64 (.f64 eps eps) eps)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.9%	(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
✓	1.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
▶	3.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
▶	1.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
▶	1.7%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
▶	99.7%	#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
✓	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 561 to 225 computations (59.9% saved)

simplify125.0ms (0.7%)

Memory

-5.3MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
cost-diff	320	(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
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 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
cost-diff	192	(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
cost-diff	0	#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
cost-diff	0	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))

Rules

7 660×	`lower-fma.f32`
7 640×	`lower-fma.f64`
4 952×	`lower-*.f32`
4 940×	`lower-*.f64`
3 290×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	672
0	111	672
1	215	620
2	508	573
3	2293	565
0	8735	559

Stop Event

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

Calls

Call 1

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

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

localize887.0ms (4.8%)

Memory

32.1MiB live, 1 246.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	20.652066484620757	(-.f64 eps (sin.f64 eps))
accuracy	28.336223173564676	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
accuracy	40.618236411416795	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
accuracy	59.3291674504332	(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (cos.f64 eps))
accuracy	20.652066484620757	(-.f64 eps (sin.f64 eps))
accuracy	20.678046562820015	(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
accuracy	40.618236411416795	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
accuracy	0.3359375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy	20.652910231995694	(-.f64 eps (tan.f64 eps))
accuracy	40.618236411416795	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
accuracy	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.19040697832828374	#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy	0.02845860241743066	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
accuracy	0.09375	(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps))
accuracy	0.14453125	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
accuracy	0.20703125	(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)

Samples

519.0ms	125×	2	valid
180.0ms	49×	3	valid
92.0ms	77×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 615 to 69 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 735.0ms

ival-tan: 149.0ms (20.3% of total)

ival-mult: 133.0ms (18.1% of total)

ival-pow: 121.0ms (16.5% of total)

ival-sin: 68.0ms (9.3% of total)

const: 61.0ms (8.3% of total)

adjust: 58.0ms (7.9% of total)

ival-add: 37.0ms (5% of total)

ival-cos: 35.0ms (4.8% of total)

ival-div: 35.0ms (4.8% of total)

ival-pow2: 17.0ms (2.3% of total)

ival-sub: 17.0ms (2.3% of total)

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

exact: 1.0ms (0.1% of total)

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

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

series33.0ms (0.2%)

Memory

-3.9MiB live, 72.3MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (patch (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) (patch (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ (- ( (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 eps eps) #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 (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (patch #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) (patch (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) 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 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) (patch (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())

Outputs
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#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 6)) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<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 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<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 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) 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 (cos eps)) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos eps)) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos eps)) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos eps)) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (patch (/.f64 #s(literal -1 binary64) (cos.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 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) 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 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) 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 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) 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 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

eps

inf

((/ (- eps (sin eps)) (- eps (tan eps))) (/ (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (sin eps) (/ -1 (cos eps))) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (/ -1 (cos eps))) eps)) (- eps (sin eps)) (sin eps) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))) (/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (- eps (tan eps)) (/ -1 (cos eps)) (/ (pow (tan eps) 2) (+ (tan eps) eps)))

5.0ms

eps

-inf

((/ (- eps (sin eps)) (- eps (tan eps))) (/ (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (sin eps) (/ -1 (cos eps))) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (/ -1 (cos eps))) eps)) (- eps (sin eps)) (sin eps) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))) (/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (- eps (tan eps)) (/ -1 (cos eps)) (/ (pow (tan eps) 2) (+ (tan eps) eps)))

3.0ms

eps

((/ (- eps (sin eps)) (- eps (tan eps))) (/ (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (sin eps) (/ -1 (cos eps))) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (/ -1 (cos eps))) eps)) (- eps (sin eps)) (sin eps) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))) (/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (- eps (tan eps)) (/ -1 (cos eps)) (/ (pow (tan eps) 2) (+ (tan eps) eps)))

simplify226.0ms (1.2%)

Memory

-7.0MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 140×	`lower-fma.f64`
7 140×	`lower-fma.f32`
4 428×	`lower-*.f64`
4 428×	`lower-*.f32`
3 528×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	4719
1	1855	4255
2	6490	4083
0	8381	3903

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 253

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)
-1/2
(- (* 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)
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(* 81/1600 (pow eps 3))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
-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)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (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))))
(* 1/6 (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))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/3 (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))
-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)
(* 1/6 (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 (* -1/6 (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))))
(* -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))
-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)
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* -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))
-1
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(* 1/2 eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
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))))))
(* 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))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(* -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 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
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))))))
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))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
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)))))
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))))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 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)))))
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))))))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ (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)
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)))
(* 27/112000 (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))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -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)))))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
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
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(sin eps)
(sin eps)
(sin eps)
(sin 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
(- (+ 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)))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 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)))))
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 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(fma.f64 (fma.f64 #s(literal -243/56000 binary64) (.f64 eps eps) #s(literal 81/1600 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(fma.f64 (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps) #s(literal -243/56000 binary64)) (.f64 eps eps) #s(literal 81/1600 binary64)) (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal -1/4 binary64))
(* 81/1600 (pow eps 3))
(.f64 (.f64 (*.f64 eps eps) eps) #s(literal 81/1600 binary64))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -243/56000 binary64) (.f64 eps eps) #s(literal 81/1600 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps) #s(literal -243/56000 binary64)) (.f64 eps eps) #s(literal 81/1600 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729/156800000 binary64) (.f64 eps eps) #s(literal 3159/15680000 binary64)) (.f64 eps eps) #s(literal -243/56000 binary64)) (.f64 eps eps) #s(literal 81/1600 binary64)) eps) (.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 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)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* 1/6 (pow eps 3))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* 1/6 eps)
(*.f64 #s(literal 1/6 binary64) eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* -1/3 (pow eps 3))
(.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)
(* -1/3 (pow eps 3))
(.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 9/40 eps)
(*.f64 eps #s(literal 9/40 binary64))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* 9/40 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* -1/3 (pow eps 3))
(.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
-1
#s(literal -1 binary64)
(- (* -1/2 (pow eps 2)) 1)
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal -1 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 eps eps) #s(literal -5/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
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1
#s(literal 1 binary64)
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) (fma.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) (/.f64 (fma.f64 #s(literal -2 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (cos.f64 eps))) (neg.f64 eps))))) eps)) eps))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))))) eps) (neg.f64 eps)) (sin.f64 eps)) eps)))
(* -1/362880 (pow eps 9))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -1/362880 binary64))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))) (pow.f64 eps #s(literal 9 binary64)))
(* -1/362880 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/362880 binary64))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))) (pow.f64 eps #s(literal 7 binary64)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) #s(literal 1 binary64))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -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)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -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)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (cos.f64 eps)) (neg.f64 eps))) eps)) eps))
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 5 binary64)))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps))
(* -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 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) 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 (neg.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 eps (.f64 (pow.f64 (cos.f64 eps) #s(literal 5 binary64)) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)

rewrite262.0ms (1.4%)

Memory

9.8MiB live, 205.3MiB allocated

Rules

5 132×	`lower-*.f32`
5 120×	`lower-*.f64`
4 820×	`lower-fma.f32`
4 800×	`lower-fma.f64`
2 888×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	542
0	111	510
1	491	377
2	3776	365
0	8517	356

Stop Event

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

Counts

22 → 902

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (+.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/4 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) #s(literal 1/8 binary64))) (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps))) #s(literal 1/8 binary64)) (fma.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))))
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(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (tan.f64 eps) eps))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(exp.f64 (fma.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64) (*.f64 (log.f64 (+.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (tan.f64 eps) eps)) #s(literal -1 binary64) (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval301.0ms (1.6%)

Memory: 8.8MiB live, 274.1MiB allocated
Compiler: Compiled 58 364 to 2 824 computations (95.2% saved)

prune317.0ms (1.7%)

Memory

-38.1MiB live, 276.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 488	4	1 492
Fresh	1	1	2
Picked	3	2	5
Done	1	3	4
Total	1 493	10	1 503

Accuracy

100.0%

Counts

1 503 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.9%	(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
▶	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
▶	3.5%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
✓	1.7%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
▶	1.8%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
✓	99.7%	#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
✓	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 469 to 211 computations (55% saved)

simplify205.0ms (1.1%)

Memory

-5.6MiB live, 263.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (sin.f64 eps) eps)
cost-diff	384	(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
cost-diff	14976	(fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
cost-diff	20480	(/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
cost-diff	384	(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))
cost-diff	6912	(fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
cost-diff	0	#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
cost-diff	0	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
cost-diff	0	#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
cost-diff	0	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
cost-diff	640	(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))

Rules

13 770×	`lower-fma.f32`
13 748×	`lower-fma.f64`
5 176×	`lower-*.f32`
5 152×	`lower-*.f64`
4 478×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1100
0	144	1089
1	292	955
2	779	877
3	3265	846
0	8543	846

Stop Event

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

Calls

Call 1

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

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

localize1.0s (5.6%)

Memory

22.4MiB live, 1 607.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	11.863972558946838	(fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
accuracy	20.652910231995694	(-.f64 eps (tan.f64 eps))
accuracy	40.618236411416795	(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
accuracy	51.993686907379725	(/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64)))
accuracy	20.652066484620757	(-.f64 eps (sin.f64 eps))
accuracy	28.22860889403289	(/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))
accuracy	28.528532506379904	(.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
accuracy	40.618236411416795	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
accuracy	0.3359375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy	20.57923395889929	(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
accuracy	28.336223173564676	(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
accuracy	40.618236411416795	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
accuracy	0.3359375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy	20.656194937052934	(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
accuracy	40.618236411416795	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))
accuracy	0.02845860241743066	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
accuracy	0.20703125	(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)

Samples

621.0ms	128×	2	valid
204.0ms	48×	3	valid
113.0ms	75×	1	valid
3.0ms	5×	0	valid

Compiler

Compiled 1 033 to 78 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 841.0ms

ival-sin: 232.0ms (27.6% of total)

ival-tan: 151.0ms (18% of total)

ival-mult: 140.0ms (16.7% of total)

adjust: 91.0ms (10.8% of total)

ival-div: 62.0ms (7.4% of total)

ival-cos: 48.0ms (5.7% of total)

const: 37.0ms (4.4% of total)

ival-add: 36.0ms (4.3% of total)

ival-sub: 15.0ms (1.8% of total)

ival-pow2: 14.0ms (1.7% of total)

ival-pow: 9.0ms (1.1% of total)

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

exact: 1.0ms (0.1% of total)

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

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

series48.0ms (0.3%)

Memory

4.0MiB live, 86.2MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps))) (patch (/.f64 #s(approx (/ (- ( (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (patch #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))) (patch (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (patch (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))) #<representation binary64>) () ())
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (patch (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (patch (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (+.f64 (sin.f64 eps) eps) (patch (+.f64 (sin.f64 eps) eps) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) (patch (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (patch (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -9/10 (pow eps 2)) 2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) 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 (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) (patch (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) (patch (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (taylor -inf eps) (#s(alt (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -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 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -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 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -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 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 eps) (taylor -inf eps) (#s(alt (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (patch (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)) (taylor -inf eps) (#s(alt (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (patch (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)) (taylor -inf eps) (#s(alt (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (patch (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)) (taylor -inf eps) (#s(alt (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (patch (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps 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

3 calls:

Time

Variable

Point

Expression

13.0ms

eps

inf

((/ 1 (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)))) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps))) (/ (- eps (sin eps)) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps)))) (- eps (sin eps)) (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (/ (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (sin eps) eps) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps))) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2))) (/ (+ (tan eps) eps) (* eps eps)) (- eps (tan eps)))

11.0ms

eps

-inf

((/ 1 (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)))) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps))) (/ (- eps (sin eps)) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps)))) (- eps (sin eps)) (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (/ (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (sin eps) eps) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps))) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2))) (/ (+ (tan eps) eps) (* eps eps)) (- eps (tan eps)))

4.0ms

eps

((/ 1 (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)))) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps))) (/ (- eps (sin eps)) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps)))) (- eps (sin eps)) (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (/ (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (sin eps) eps) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps))) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2))) (/ (+ (tan eps) eps) (* eps eps)) (- eps (tan eps)))

simplify202.0ms (1.1%)

Memory

-7.1MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 636×	`lower-fma.f64`
8 636×	`lower-fma.f32`
5 726×	`lower-*.f64`
5 726×	`lower-*.f32`
4 480×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	817	6794
1	2511	6097
0	8477	5850

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 270

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)
-1/2
(- (* 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)
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
-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)
(* -1/3 (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))
-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)
(* 1/6 (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))))
(* 1/6 (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))))
-1/2
(- (* 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)
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -4/3 (pow eps 3))
(* (pow eps 3) (- (* -44/45 (pow eps 2)) 4/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))
(* -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))
-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)
(* 1/6 (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))))
(* 1/6 (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))))
(* 3/2 (pow eps 7))
(* (pow eps 7) (+ 3/2 (* -23/40 (pow eps 2))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* 611/5040 (pow eps 2)) 23/40))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* (pow eps 2) (+ 611/5040 (* -1513/86400 (pow eps 2)))) 23/40))))
-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)
(* 2 eps)
(* eps (+ 2 (* -1/6 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* -1/2 eps)
(* eps (- (* -1/4 (pow eps 2)) 1/2))
(* eps (- (* (pow eps 2) (- (* -41/360 (pow eps 2)) 1/4)) 1/2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -149/3024 (pow eps 2)) 41/360)) 1/4)) 1/2))
(* -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))
(* -2 eps)
(* eps (- (* -5/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -10/9 (pow eps 2)) 5/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -626/945 (pow eps 2)) 10/9)) 5/3)) 2))
(/ 2 eps)
(/ (+ 2 (* 1/3 (pow eps 2))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) eps)
(* -1/3 (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))
(* 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
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(- (+ 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))))))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(* 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))))))
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))))))
1
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eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(* -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
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(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))))
eps
(* eps (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) (* eps (cos eps))))))
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(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))
1
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(- (+ 1 (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps))))))
(- (+ 1 (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (* (sin eps) (- (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (cos eps))))) (* (pow eps 3) (cos eps))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(* (pow eps 5) (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
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(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
eps
(* eps (+ 1 (/ (sin eps) eps)))
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(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (+ (* -1 (/ (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)
(/ (+ (* -1 (/ (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))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
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(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
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))))))
(* 27/112000 (pow eps 6))
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(* (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
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(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(* 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))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
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(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
1
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eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -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
(+ 1 (* -1 (/ (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (pow (sin eps) 2) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (* -1 (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps))))))) eps))) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* -1 (* (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (pow (sin eps) 2) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (* -1 (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps))))))))) (* -1 (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) (* 2 (pow (sin eps) 3))))))) eps)) (pow (sin eps) 2)) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (* -1 (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps))))))) eps))) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) eps)))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
eps
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
1
(- (+ 1 (* -1 (/ (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))) eps))) (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))) eps)) 1)))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -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)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) 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 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(fma.f64 #s(literal -9/10 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(fma.f64 (fma.f64 #s(literal -513/1400 binary64) (.f64 eps eps) #s(literal -9/10 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -297/2000 binary64) (.f64 eps eps) #s(literal -513/1400 binary64)) (.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* -1/3 (pow eps 3))
(.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* 1/6 (pow eps 3))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 eps)
(*.f64 #s(literal 1/6 binary64) eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* -4/3 (pow eps 3))
(.f64 #s(literal -4/3 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -44/45 (pow eps 2)) 4/3))
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eps
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
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(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
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(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/362880 binary64))
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eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
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(* eps (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
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(* eps (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))))
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eps
(* eps (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) (* eps (cos eps))))))
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#s(literal 1 binary64)
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eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
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(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
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#s(literal 1 binary64)
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eps
(* eps (+ 1 (/ (sin eps) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps)
(* eps (+ 1 (/ (sin eps) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps)
(* eps (+ 1 (/ (sin eps) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps)
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
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(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
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eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
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(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
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(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
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(/ 1 eps)
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eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
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(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
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(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
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(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
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(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))

rewrite307.0ms (1.6%)

Memory

36.1MiB live, 268.5MiB allocated

Rules

5 458×	`lower-*.f32`
5 434×	`lower-*.f64`
4 754×	`lower-fma.f32`
4 732×	`lower-fma.f64`
2 442×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	688
0	144	659
1	605	530
2	4825	526
0	8254	526

Stop Event

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

Counts

24 → 767

Calls

Call 1

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

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

eval298.0ms (1.6%)

Memory: -7.5MiB live, 355.7MiB allocated
Compiler: Compiled 59 678 to 3 501 computations (94.1% saved)

prune232.0ms (1.2%)

Memory

-35.6MiB live, 459.9MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 184	6	1 190
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	1 186	14	1 200

Accuracy

100.0%

Counts

1 200 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.9%	(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (.f64 (+.f64 (tan.f64 eps) eps) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (+.f64 (tan.f64 eps) eps))))
	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (+.f64 (tan.f64 eps) eps) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
	1.7%	(/.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 eps) eps) eps) (.f64 eps (+.f64 (sin.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (sin.f64 eps) eps) eps) (.f64 eps (+.f64 (sin.f64 eps) eps))) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) eps) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))))) (-.f64 eps (tan.f64 eps)))
	3.5%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) eps) eps) eps (.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
	1.8%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) eps) eps))) (.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) eps)) eps)))
✓	3.5%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
✓	1.7%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
	1.7%	(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
✓	99.7%	#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
✓	99.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 1 304 to 352 computations (73% saved)

regimes14.0ms (0.1%)

Memory

31.1MiB live, 31.1MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

7.0ms	eps
6.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	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

-30.5MiB live, 9.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74

Stop Event

1×

saturated

Calls

Call 1

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

soundness419.0ms (2.2%)

Memory

-25.7MiB live, 212.1MiB 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	5649	444
0	8475	418

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 35 computations (54.5% saved)

preprocess49.0ms (0.3%)

Memory: 24.3MiB live, 102.4MiB allocated
Remove: (abs eps)
Compiler: Compiled 226 to 110 computations (51.3% 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%)

analyze360.0ms (1.9%)

sample9.9s (53.3%)

explain569.0ms (3.1%)

preprocess53.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.1%)

localize312.0ms (1.7%)

series4.0ms (0%)

simplify179.0ms (1%)

rewrite171.0ms (0.9%)

eval45.0ms (0.2%)

prune115.0ms (0.6%)

simplify213.0ms (1.1%)

localize532.0ms (2.9%)

series29.0ms (0.2%)

simplify176.0ms (0.9%)

rewrite265.0ms (1.4%)

eval187.0ms (1%)

prune499.0ms (2.7%)

simplify125.0ms (0.7%)

localize887.0ms (4.8%)

series33.0ms (0.2%)

simplify226.0ms (1.2%)

rewrite262.0ms (1.4%)

eval301.0ms (1.6%)

prune317.0ms (1.7%)

simplify205.0ms (1.1%)

localize1.0s (5.6%)

series48.0ms (0.3%)

simplify202.0ms (1.1%)

rewrite307.0ms (1.6%)

eval298.0ms (1.6%)

prune232.0ms (1.2%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify5.0ms (0%)

soundness419.0ms (2.2%)

preprocess49.0ms (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