Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze361.0ms (1.8%)

Memory

4.2MiB live, 430.5MiB 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)

sample10.0s (50.8%)

Memory

132.4MiB live, 9 828.8MiB allocated

Samples

7.3s	4 527×	2	valid
1.2s	1 117×	3	valid
977.0ms	2 480×	1	valid
13.0ms	132×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.9s

ival-tan: 4.9s (54.7% of total)

ival-sin: 2.6s (28.7% of total)

adjust: 517.0ms (5.8% of total)

ival-<=: 319.0ms (3.6% of total)

ival-sub: 263.0ms (2.9% of total)

const: 259.0ms (2.9% of total)

ival-div: 110.0ms (1.2% of total)

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

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

Bogosity

explain900.0ms (4.6%)

Memory

-17.3MiB live, 834.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
162	-	1	(-1.7165652779369633e-107)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
95	-	0	-	`(-.f64 eps (tan.f64 eps))`
95	-	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	161	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	161
↳	`(-.f64 eps (tan.f64 eps))`	underflow	161
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	95	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	95	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	161
2	95

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

671.0ms	276×	2	valid
108.0ms	60×	3	valid
27.0ms	168×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 740.0ms

ival-tan: 573.0ms (77.4% of total)

ival-sin: 130.0ms (17.6% of total)

adjust: 17.0ms (2.3% of total)

ival-sub: 14.0ms (1.9% of total)

ival-div: 6.0ms (0.8% of total)

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

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

preprocess51.0ms (0.3%)

Memory

-0.7MiB live, 75.2MiB 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)))

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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify26.0ms (0.1%)

Memory

10.6MiB live, 48.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize285.0ms (1.5%)

Memory

-23.4MiB live, 397.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	21.270931400396147	(-.f64 eps (sin.f64 eps))
accuracy	21.275161401009434	(-.f64 eps (tan.f64 eps))
accuracy	40.17021965916343	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

208.0ms	138×	2	valid
49.0ms	30×	3	valid
14.0ms	84×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-tan: 167.0ms (64.4% of total)

ival-sin: 72.0ms (27.8% of total)

ival-sub: 9.0ms (3.5% of total)

adjust: 8.0ms (3.1% of total)

ival-div: 3.0ms (1.2% of total)

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

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

series5.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify266.0ms (1.4%)

Memory

-23.5MiB live, 370.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

rewrite248.0ms (1.3%)

Memory

36.6MiB live, 439.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

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

eval48.0ms (0.2%)

Memory: -2.5MiB live, 107.2MiB allocated
Compiler: Compiled 12 477 to 1 225 computations (90.2% saved)

prune83.0ms (0.4%)

Memory

0.2MiB live, 185.7MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	454	8	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	454	9	463

Accuracy

100.0%

Counts

463 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.5%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.7%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
▶	1.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 308 to 152 computations (50.6% saved)

simplify248.0ms (1.3%)

Memory

24.1MiB live, 399.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))
cost-diff	384	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
cost-diff	14016	(-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
cost-diff	20480	(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64)))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))

Rules

12 230×	`lower-fma.f32`
12 218×	`lower-fma.f64`
4 686×	`lower-*.f32`
4 668×	`lower-*.f64`
2 234×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	383
0	75	373
1	158	338
2	427	316
3	1509	312
4	6194	312
0	8178	312

Stop Event

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

Calls

Call 1

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

localize802.0ms (4.1%)

Memory

-5.1MiB live, 777.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	10.641300754510931	(-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
accuracy	21.275161401009434	(-.f64 eps (tan.f64 eps))
accuracy	40.17021965916343	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
accuracy	50.87493444381285	(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64)))
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
accuracy	21.270931400396147	(-.f64 (sin.f64 eps) eps)
accuracy	21.275161401009434	(-.f64 (tan.f64 eps) eps)
accuracy	40.79294564553922	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
accuracy	0	(*.f64 eps eps)
accuracy	0.00390625	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
accuracy	0.09325134536196084	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
accuracy	0.37890625	(*.f64 eps #s(literal -27/2800 binary64))
accuracy	0.5099757957997791	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0.0078125	(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
accuracy	0.02734375	(*.f64 eps #s(literal 27/112000 binary64))
accuracy	0.04352884067964773	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
accuracy	0.37890625	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

270.0ms	137×	2	valid
78.0ms	29×	3	valid
59.0ms	85×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 376 to 44 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

ival-tan: 126.0ms (34.9% of total)

ival-sin: 77.0ms (21.3% of total)

ival-mult: 43.0ms (11.9% of total)

adjust: 35.0ms (9.7% of total)

ival-sub: 18.0ms (5% of total)

ival-add: 18.0ms (5% of total)

const: 16.0ms (4.4% of total)

ival-div: 12.0ms (3.3% of total)

ival-pow: 8.0ms (2.2% of total)

ival-pow2: 7.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.3%)

Memory

3.2MiB live, 40.3MiB allocated

Counts

22 → 264

Calls

Call 1

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

Calls

66 calls:

Time	Variable		Point	Expression
24.0ms	eps	@	inf	(/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps)))
3.0ms	eps	@	-inf	(/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps)))
2.0ms	eps	@	inf	(/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2))
1.0ms	eps	@	-inf	(/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2))
1.0ms	eps	@	0	(/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2))

simplify263.0ms (1.3%)

Memory

-22.9MiB live, 356.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 416×	`lower-fma.f64`
9 416×	`lower-fma.f32`
5 202×	`lower-*.f64`
5 202×	`lower-*.f32`
3 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	3850
1	1533	3571
2	5358	3463
0	8543	3306

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 259

Calls

Call 1

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

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 eps))) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
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(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (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 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (+.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (.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)) (-.f64 (/.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) (fma.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 eps))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))) eps)) eps))
(* 3 (pow eps 5))
(*.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 3 (* -1/2 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) #s(literal 3 binary64)))
(* (pow eps 5) (+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 19/360 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(* (pow eps 5) (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 1/2))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -17/5040 binary64) #s(literal 19/360 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 eps) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)))))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 eps) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (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 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)

rewrite322.0ms (1.6%)

Memory

19.7MiB live, 431.8MiB allocated

Rules

4 938×	`lower-/.f32`
4 932×	`lower-/.f64`
4 334×	`lower-*.f32`
4 316×	`lower-*.f64`
2 744×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	299
0	75	252
1	323	228
2	2675	200
0	8412	200

Stop Event

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

Counts

22 → 841

Calls

Call 1

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

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

eval210.0ms (1.1%)

Memory: 4.7MiB live, 316.7MiB allocated
Compiler: Compiled 49 083 to 3 341 computations (93.2% saved)

prune489.0ms (2.5%)

Memory

-62.9MiB live, 480.0MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 154	6	1 160
Fresh	3	0	3
Picked	0	5	5
Done	0	1	1
Total	1 157	12	1 169

Accuracy

100.0%

Counts

1 169 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.5%	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	1.7%	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
	1.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))))
✓	1.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	99.8%	#s(approx (/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
✓	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 453 to 195 computations (57% saved)

simplify268.0ms (1.4%)

Memory

46.6MiB live, 499.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
cost-diff	7296	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
cost-diff	0	(.f64 eps (.f64 eps eps))
cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
cost-diff	0	(.f64 (.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) eps)
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
cost-diff	640	(fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))

Rules

12 706×	`lower-fma.f32`
12 686×	`lower-fma.f64`
5 460×	`lower-*.f32`
5 440×	`lower-*.f64`
3 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	616
0	104	597
1	231	547
2	693	501
3	2576	495
4	5843	495
0	8606	490

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

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

localize860.0ms (4.4%)

Memory

-67.7MiB live, 977.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	8.7132837609267	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
accuracy	8.7132837609267	(/.f64 eps (-.f64 (tan.f64 eps) eps))
accuracy	19.128859267304943	(-.f64 (tan.f64 eps) eps)
accuracy	56.25047712805463	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
accuracy	0.12109375	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	0.41796875	(*.f64 eps #s(literal -1/362880 binary64))
accuracy	19.128859267304943	(-.f64 eps (tan.f64 eps))
accuracy	36.9413554270989	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
accuracy	0.09325134536196084	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
accuracy	0.1015625	(*.f64 eps #s(literal 9/40 binary64))
accuracy	0.11328125	(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
accuracy	0.33203125	(*.f64 eps #s(literal -27/2800 binary64))
accuracy	0	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.1376184861077246	#s(approx (/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.01953125	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
accuracy	0.04352884067964773	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
accuracy	0.09375	(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
accuracy	0.1484375	(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))

Samples

336.0ms	128×	2	valid
163.0ms	25×	3	valid
115.0ms	80×	1	valid
88.0ms	22×	5	exit
0.0ms	1×	0	valid

Compiler

Compiled 535 to 63 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 634.0ms

ival-tan: 142.0ms (22.4% of total)

adjust: 108.0ms (17% of total)

ival-mult: 101.0ms (15.9% of total)

ival-sin: 84.0ms (13.3% of total)

const: 61.0ms (9.6% of total)

ival-add: 50.0ms (7.9% of total)

ival-pow2: 36.0ms (5.7% of total)

ival-div: 23.0ms (3.6% of total)

ival-sub: 16.0ms (2.5% of total)

ival-pow: 12.0ms (1.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series28.0ms (0.1%)

Memory

33.8MiB live, 69.2MiB allocated

Counts

26 → 312

Calls

Call 1

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

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) #<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 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) #<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 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) #<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 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) (taylor 0 eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) (taylor 0 eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 8)) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 8)) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) (patch (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -27/2800 binary64)) (patch (.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 9/40 binary64)) (patch (.f64 eps #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) (taylor inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (taylor inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 (tan.f64 eps) eps)) (patch (/.f64 eps (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(- eps (tan eps))
1.0ms	eps	@	-inf	(* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/362880)) 1/5040)) -1/120)) 1/6))
1.0ms	eps	@	inf	(- (/ (sin eps) (- (tan eps) eps)) (/ eps (- (tan eps) eps)))
1.0ms	eps	@	-inf	(- (/ (sin eps) (- (tan eps) eps)) (/ eps (- (tan eps) eps)))
0.0ms	eps	@	inf	(* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/362880)) 1/5040)) -1/120)) 1/6))

simplify353.0ms (1.8%)

Memory

11.5MiB live, 404.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 590×	`lower-fma.f64`
9 590×	`lower-fma.f32`
5 260×	`lower-*.f64`
5 260×	`lower-*.f32`
3 306×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	4627
1	1696	4272
2	5841	4144
0	8297	3966

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 307

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (/ (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)))))))))))
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)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 3))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (/ (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)))))))))))
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)))
(* 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 (/ (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)))))))))
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)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps)
(* -1 (/ (sin eps) eps))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 4))
(* (pow eps 4) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 8))
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 8))
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(/ 3 (pow eps 2))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 2))
-1
(- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)
(- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
-1
(- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)
(- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (-.f64 (/.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 eps))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
-1/4
#s(literal -1/4 binary64)
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -243/56000 binary64) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 3159/15680000 binary64) #s(literal -243/56000 binary64))) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (-.f64 (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 243/56000 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (-.f64 (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 243/56000 binary64) (pow.f64 eps #s(literal 6 binary64))))))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
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(-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(-.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 eps eps)) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))

rewrite425.0ms (2.2%)

Memory

-7.0MiB live, 552.3MiB allocated

Rules

7 020×	`lower-*.f32`
7 000×	`lower-*.f64`
4 252×	`lower-fma.f32`
4 232×	`lower-fma.f64`
3 678×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	526
0	104	507
1	497	384
2	4089	294
0	10217	287

Stop Event

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

Counts

26 → 471

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (-.f64 (.f64 eps (*.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (.f64 eps eps) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) eps #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) eps) eps (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 6 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
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eval155.0ms (0.8%)

Memory: 15.7MiB live, 387.1MiB allocated
Compiler: Compiled 44 324 to 2 472 computations (94.4% saved)

prune327.0ms (1.7%)

Memory

6.3MiB live, 581.4MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	1 134	1	1 135
Fresh	0	1	1
Picked	0	5	5
Done	0	6	6
Total	1 134	13	1 147

Accuracy

100.0%

Counts

1 147 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.5%	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	1.5%	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
✓	1.7%	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
▶	1.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))))
✓	1.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
✓	99.8%	#s(approx (/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
✓	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 317 to 143 computations (54.9% saved)

simplify378.0ms (1.9%)

Memory

-15.0MiB live, 342.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
cost-diff	640	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))))
cost-diff	14016	(-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))))
cost-diff	20480	(/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64)))

Rules

11 722×	`lower-fma.f32`
11 712×	`lower-fma.f64`
3 590×	`lower-*.f32`
3 572×	`lower-*.f64`
2 264×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	491
0	86	469
1	178	412
2	561	368
3	2194	351
4	5748	348
0	8113	348

Stop Event

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

Calls

Call 1

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

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

localize688.0ms (3.5%)

Memory

-16.4MiB live, 503.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	0.453125	(*.f64 eps #s(literal -1/362880 binary64))
accuracy	21.2889526903265	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
accuracy	40.17021965916343	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
accuracy	10.641300754510931	(-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))))
accuracy	21.275161401009434	(-.f64 (tan.f64 eps) eps)
accuracy	40.79294564553922	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))))
accuracy	50.88864244061209	(/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64)))

Samples

456.0ms	143×	2	valid
79.0ms	29×	3	valid
58.0ms	80×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 451 to 44 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

ival-tan: 174.0ms (31.4% of total)

ival-mult: 101.0ms (18.2% of total)

adjust: 66.0ms (11.9% of total)

ival-sin: 66.0ms (11.9% of total)

ival-cos: 63.0ms (11.4% of total)

const: 20.0ms (3.6% of total)

ival-div: 18.0ms (3.3% of total)

ival-add: 16.0ms (2.9% of total)

ival-sub: 12.0ms (2.2% of total)

ival-pow: 8.0ms (1.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

10 → 120

Calls

Call 1

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

Outputs
#s(alt (* -1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -1 (/ (sin eps) eps)) (+ 1 (* -2 (/ (sin eps) eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2)))) (+ 1 (+ (* -2 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (* 2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 2)))))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (pow (sin eps) 3) (pow eps 3)))) (+ 1 (+ (* -2 (/ (sin eps) eps)) (+ (* -2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))))))) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 3)))))))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<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 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 (pow eps 9)) (taylor inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)) (taylor inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))) (taylor inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))) (taylor inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 (pow eps 9)) (taylor -inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))) (taylor -inf eps) (#s(alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1)) (taylor inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/362880 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal -1/362880 binary64)) (patch (.f64 eps #s(literal -1/362880 binary64)) #<representation binary64>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(* (/ 1 (- (tan eps) eps)) (/ (- (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3)) (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)))
1.0ms	eps	@	inf	(/ (- (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3)) (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2))
1.0ms	eps	@	-inf	(* (/ 1 (- (tan eps) eps)) (/ (- (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3)) (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)))
1.0ms	eps	@	-inf	(/ (- (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3)) (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2))
0.0ms	eps	@	0	(* (/ 1 (- (tan eps) eps)) (/ (- (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3)) (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)))

simplify447.0ms (2.3%)

Memory

-5.0MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 072×	`lower-fma.f64`
9 072×	`lower-fma.f32`
4 350×	`lower-*.f64`
4 350×	`lower-*.f32`
4 288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	2908
1	1762	2502
2	6860	2455
0	8277	2341

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

Calls

Call 1

Inputs
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (* -1 (/ (sin eps) eps)) (+ 1 (* -2 (/ (sin eps) eps)))))
(* eps (- (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2)))) (+ 1 (+ (* -2 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (* 2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 2))))))))
(* eps (- (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (pow (sin eps) 3) (pow eps 3)))) (+ 1 (+ (* -2 (/ (sin eps) eps)) (+ (* -2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))))))) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 3))))))))))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (sin eps)) (* -2 (sin eps))) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (- (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) eps)) (+ (* -1 (sin eps)) (* 2 (/ (pow (sin eps) 2) eps)))) (* -2 (sin eps))) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (* -1 (/ (- (pow (sin eps) 3) (+ (* -2 (pow (sin eps) 3)) (+ (* 2 (* (sin eps) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (* 2 (pow (sin eps) 2))))) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (* -1 (sin eps)) (* -2 (sin eps))))))) eps)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (* 2 (pow (sin eps) 2)))) eps))) (* -2 (sin eps))) eps)))))
(* -3/2 (pow eps 7))
(* (pow eps 7) (- (* 23/40 (pow eps 2)) 3/2))
(* (pow eps 7) (- (* (pow eps 2) (+ 23/40 (* -611/5040 (pow eps 2)))) 3/2))
(* (pow eps 7) (- (* (pow eps 2) (+ 23/40 (* (pow eps 2) (- (* 1513/86400 (pow eps 2)) 611/5040)))) 3/2))
(* -1 (pow eps 5))
(* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1))
(* (pow eps 5) (- (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ 1 (/ (sin eps) eps))))
(* (pow eps 5) (- (/ (pow (sin eps) 3) (pow eps 3)) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
(* -1 (pow eps 5))
(* -1 (* (pow eps 5) (+ 1 (/ (sin eps) eps))))
(* -1 (* (pow eps 5) (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (sin eps)) eps)))))
(* -1 (* (pow eps 5) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (sin eps)) eps)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(- (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))) (+ (* -1 (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (pow eps 2))))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))) (+ (* -1 (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (pow eps 2))) (+ (* -1 (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (pow (sin eps) 2) (+ (* -1 (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))) (* -1 (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps)))))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (pow eps 3))) (+ (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) (pow eps 3))) (* -1 (/ (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (pow eps 2)))))))))
1
(+ 1 (* -1 (/ (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (sin eps)) (+ (* 2 (/ (pow (sin eps) 2) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) eps)))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (* -1 (/ (- (pow (sin eps) 3) (+ (* -2 (pow (sin eps) 3)) (+ (* -1 (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (+ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps)))))) eps)) (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (sin eps)) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))))) eps))) (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (/ (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)))))))))))
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)))
(* 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 (/ (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)))))))))
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)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)

Outputs
(* -1/6 (pow eps 3))
(.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (* -1 (/ (sin eps) eps)) (+ 1 (* -2 (/ (sin eps) eps)))))
(-.f64 (*.f64 (/.f64 (sin.f64 eps) eps) eps) eps)
(* eps (- (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2)))) (+ 1 (+ (* -2 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (* 2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 2))))))))
(.f64 eps (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 eps)) (sin.f64 eps)) eps) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -2 binary64) eps) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 eps eps)))))))
(* eps (- (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (pow (sin eps) 3) (pow eps 3)))) (+ 1 (+ (* -2 (/ (sin eps) eps)) (+ (* -2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))))))) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (* -1 (sin eps)) (* -2 (sin eps)))) (pow eps 3))))))))))
(.f64 eps (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 eps)) (sin.f64 eps)) eps) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (sin.f64 eps) eps) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (.f64 (-.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (.f64 eps (.f64 eps eps))))) (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps)))))))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (sin eps)) (* -2 (sin eps))) eps)))))
(-.f64 (*.f64 (/.f64 (sin.f64 eps) eps) eps) eps)
(* -1 (* eps (+ 1 (* -1 (/ (- (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps)))) eps)) (+ (* -1 (sin eps)) (* 2 (/ (pow (sin eps) 2) eps)))) (* -2 (sin eps))) eps)))))
(neg.f64 (fma.f64 eps (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) eps) (sin.f64 eps))) (neg.f64 eps)) eps))
(* -1 (* eps (+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (* -1 (/ (- (pow (sin eps) 3) (+ (* -2 (pow (sin eps) 3)) (+ (* 2 (* (sin eps) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (* 2 (pow (sin eps) 2))))) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (* -1 (sin eps)) (* -2 (sin eps))))))) eps)) (+ (* -2 (* (sin eps) (- (* -1 (sin eps)) (* -2 (sin eps))))) (* 2 (pow (sin eps) 2)))) eps))) (* -2 (sin eps))) eps)))))
(neg.f64 (fma.f64 eps (/.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))) (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) eps)) (neg.f64 eps)) (sin.f64 eps)) (neg.f64 eps)) eps))
(* -3/2 (pow eps 7))
(*.f64 #s(literal -3/2 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 23/40 (pow eps 2)) 3/2))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 (.f64 eps eps) #s(literal 23/40 binary64) #s(literal -3/2 binary64)))
(* (pow eps 7) (- (* (pow eps 2) (+ 23/40 (* -611/5040 (pow eps 2)))) 3/2))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -611/5040 binary64) #s(literal 23/40 binary64))) #s(literal -3/2 binary64)))
(* (pow eps 7) (- (* (pow eps 2) (+ 23/40 (* (pow eps 2) (- (* 1513/86400 (pow eps 2)) 611/5040)))) 3/2))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1513/86400 binary64) #s(literal -611/5040 binary64)) #s(literal 23/40 binary64)) #s(literal -3/2 binary64)))
(* -1 (pow eps 5))
(neg.f64 (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)))
(* (pow eps 5) (- (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ 1 (/ (sin eps) eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 eps)) (sin.f64 eps)) eps)))
(* (pow eps 5) (- (/ (pow (sin eps) 3) (pow eps 3)) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 eps)) (sin.f64 eps)) eps) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64))))
(* -1 (pow eps 5))
(neg.f64 (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 1 (/ (sin eps) eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)))
(* -1 (* (pow eps 5) (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (sin eps)) eps)))))
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 eps)) (sin.f64 eps)) eps)))
(* -1 (* (pow eps 5) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (sin eps)) eps)))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) eps)) eps))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 eps (*.f64 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 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
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(+ 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)) (-.f64 (.f64 (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (.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)) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (/.f64 (.f64 (neg.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)))) eps)) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (cos.f64 eps))) eps))) eps)) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) 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))))
(+.f64 eps (.f64 eps (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))) (.f64 eps eps)) (/.f64 (sin.f64 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)))))))))
(.f64 eps (-.f64 (+.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (.f64 eps (.f64 eps eps))) (fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (sin.f64 eps) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (.f64 eps (*.f64 eps eps))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) eps) eps) eps))
(* -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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 eps)) (sin.f64 eps)) eps)))
(* -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 (neg.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) #s(literal -2 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))))) eps)) eps)) (sin.f64 eps)) eps)))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* -1/362880 (pow eps 9))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(* -1/362880 (pow eps 9))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (neg.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) (neg.f64 (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 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))) (neg.f64 (pow.f64 eps #s(literal 9 binary64))))
(* 1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/3 binary64))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 62/2835 binary64) #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(neg.f64 (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(neg.f64 (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(neg.f64 (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))
(* -1/362880 eps)
(*.f64 eps #s(literal -1/362880 binary64))

rewrite272.0ms (1.4%)

Memory

-0.5MiB live, 478.3MiB allocated

Rules

4 832×	`lower-/.f32`
4 824×	`lower-/.f64`
4 602×	`lower-*.f32`
4 584×	`lower-*.f64`
3 474×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	328
0	86	312
1	338	249
2	2737	175
0	8566	175

Stop Event

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

Counts

10 → 541

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps))))))
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(/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (+.f64 #s(literal 0 binary64) eps) (.f64 (neg.f64 (cos.f64 eps)) (-.f64 #s(literal 0 binary64) (.f64 eps eps)))) (*.f64 (neg.f64 (cos.f64 eps)) (+.f64 #s(literal 0 binary64) eps)))
(/.f64 (fma.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (cos.f64 eps) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (.f64 #s(literal 0 binary64) eps))) (sin.f64 eps))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (.f64 #s(literal 0 binary64) eps))) (cos.f64 eps)))
(/.f64 (fma.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (.f64 #s(literal 0 binary64) eps))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (fma.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (neg.f64 (cos.f64 eps)) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (.f64 #s(literal 0 binary64) eps))) (neg.f64 (sin.f64 eps)))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (.f64 #s(literal 0 binary64) eps))) (neg.f64 (cos.f64 eps))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (cos.f64 eps) (.f64 (+.f64 #s(literal 0 binary64) eps) (sin.f64 eps))) (*.f64 (+.f64 #s(literal 0 binary64) eps) (cos.f64 eps)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) eps) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (neg.f64 (cos.f64 eps)) (.f64 (+.f64 #s(literal 0 binary64) eps) (neg.f64 (sin.f64 eps)))) (*.f64 (+.f64 #s(literal 0 binary64) eps) (neg.f64 (cos.f64 eps))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 eps (.f64 eps eps)))) (*.f64 (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (.f64 (tan.f64 eps) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) #s(literal -1 binary64))
(*.f64 (-.f64 (tan.f64 eps) eps) #s(literal 1 binary64))
(.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (tan.f64 eps) eps) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) (/.f64 (-.f64 (tan.f64 eps) eps) (+.f64 eps (tan.f64 eps))))
(*.f64 eps #s(literal -1/362880 binary64))
(*.f64 #s(literal -1/362880 binary64) eps)

eval112.0ms (0.6%)

Memory: -3.1MiB live, 188.5MiB allocated
Compiler: Compiled 42 191 to 2 422 computations (94.3% saved)

prune105.0ms (0.5%)

Memory

-3.0MiB live, 271.7MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	654	3	657
Fresh	0	0	0
Picked	1	1	2
Done	3	8	11
Total	658	12	670

Accuracy

100.0%

Counts

670 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
	1.5%	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal -1/36 binary64)) (.f64 eps (.f64 eps eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
✓	1.5%	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.5%	(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
	1.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))))
✓	1.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))))
✓	99.8%	#s(approx (/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
✓	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 874 to 259 computations (70.4% saved)

regimes14.0ms (0.1%)

Memory

-1.6MiB live, 35.5MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)) #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
(/.f64 #s(approx (/ (- (* (* eps (* eps eps)) (+ (* eps eps) (* (sin eps) (+ eps (sin eps))))) (* (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) (pow (sin eps) 3))) (pow (+ (* eps eps) (* (sin eps) (+ eps (sin eps)))) 2)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal -1/36 binary64)) (.f64 eps (.f64 eps eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (pow.f64 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) #s(literal 2 binary64))))

Outputs

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

Calls

2 calls:

8.0ms	eps
5.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

12.4MiB live, 12.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	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)

regimes8.0ms (0%)

Memory

-46.7MiB live, 11.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

6.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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
99.2%	1	`eps`
99.2%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify6.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	99
1	36	99

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness441.0ms (2.2%)

Memory

3.9MiB live, 352.9MiB allocated

Rules

12 288×	`lower-fma.f64`
12 288×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
4 938×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	299
0	75	252
1	323	228
2	2675	200
0	8412	200
0	148	561
1	422	524
2	1321	499
3	5650	444
0	8479	418

Stop Event

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

Compiler

Compiled 118 to 62 computations (47.5% saved)

preprocess63.0ms (0.3%)

Memory: 17.9MiB live, 210.6MiB allocated
Remove: (abs eps)
Compiler: Compiled 294 to 152 computations (48.3% 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%)

analyze361.0ms (1.8%)

sample10.0s (50.8%)

explain900.0ms (4.6%)

preprocess51.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.1%)

localize285.0ms (1.5%)

series5.0ms (0%)

simplify266.0ms (1.4%)

rewrite248.0ms (1.3%)

eval48.0ms (0.2%)

prune83.0ms (0.4%)

simplify248.0ms (1.3%)

localize802.0ms (4.1%)

series52.0ms (0.3%)

simplify263.0ms (1.3%)

rewrite322.0ms (1.6%)

eval210.0ms (1.1%)

prune489.0ms (2.5%)

simplify268.0ms (1.4%)

localize860.0ms (4.4%)

series28.0ms (0.1%)

simplify353.0ms (1.8%)

rewrite425.0ms (2.2%)

eval155.0ms (0.8%)

prune327.0ms (1.7%)

simplify378.0ms (1.9%)

localize688.0ms (3.5%)

series14.0ms (0.1%)

simplify447.0ms (2.3%)

rewrite272.0ms (1.4%)

eval112.0ms (0.6%)

prune105.0ms (0.5%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0%)

soundness441.0ms (2.2%)

preprocess63.0ms (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