Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze426.0ms (2.5%)

Memory

23.6MiB live, 479.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.9s (58.3%)

Memory

95.9MiB live, 9 368.8MiB allocated

Samples

7.1s	4 488×	2	valid
1.5s	1 084×	3	valid
761.0ms	2 549×	1	valid
14.0ms	135×	0	valid

Precisions

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

ival-tan: 4.7s (53.2% of total)

ival-sin: 2.5s (27.8% of total)

ival-sub: 615.0ms (6.9% of total)

const: 396.0ms (4.5% of total)

adjust: 343.0ms (3.9% of total)

ival-div: 169.0ms (1.9% of total)

ival-<=: 146.0ms (1.6% of total)

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

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

Bogosity

explain611.0ms (3.6%)

Memory

-5.6MiB live, 638.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
165	0	-	1	(-3.471167962356913e-104)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
91	1	(-2.262089491724944e-108)	0	-	`(-.f64 eps (tan.f64 eps))`
91	1	(-0.2345606052178845)	0	-	`(-.f64 eps (sin.f64 eps))`
0	0	-	0	-	`(tan.f64 eps)`
0	0	-	0	-	`eps`
0	0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	163	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	164
↳	`(-.f64 eps (tan.f64 eps))`	underflow	163
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	92	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	92	1
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/n	1	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	164

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	164
2	92

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

427.0ms	282×	2	valid
77.0ms	60×	3	valid
29.0ms	162×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 473.0ms

ival-tan: 234.0ms (49.4% of total)

ival-sin: 184.0ms (38.9% of total)

adjust: 33.0ms (7% of total)

ival-sub: 15.0ms (3.2% of total)

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

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

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

preprocess53.0ms (0.3%)

Memory

-27.3MiB live, 56.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify20.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB 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)))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize260.0ms (1.5%)

Memory

12.3MiB live, 414.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	20.57919218187268	(-.f64 eps (sin.f64 eps))
accuracy	40.810254380008956	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

184.0ms	141×	2	valid
38.0ms	30×	3	valid
24.0ms	81×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-tan: 129.0ms (55.2% of total)

ival-sin: 74.0ms (31.6% of total)

ival-sub: 17.0ms (7.3% of total)

adjust: 10.0ms (4.3% of total)

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

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

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

series5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

simplify401.0ms (2.4%)

Memory

10.0MiB live, 270.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5649	444
0	8475	418

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

rewrite188.0ms (1.1%)

Memory

-27.2MiB live, 227.2MiB allocated

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
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eval57.0ms (0.3%)

Memory: -0.3MiB live, 77.0MiB allocated
Compiler: Compiled 11 528 to 1 222 computations (89.4% saved)

prune24.0ms (0.1%)

Memory

-19.3MiB live, 55.0MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	445	17	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	445	18	463

Accuracy

99.9%

Counts

463 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.3%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
	1.6%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))))
	1.6%	(/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
	1.6%	(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps))))
	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 (+.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))))
▶	1.6%	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
	1.6%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
	1.6%	(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps))
	1.6%	(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
	99.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	98.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 719 to 382 computations (46.9% saved)

simplify124.0ms (0.7%)

Memory

17.4MiB live, 138.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))
cost-diff	0	(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
cost-diff	6080	(.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))
cost-diff	13248	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	349
0	75	349
1	127	349
2	244	344
3	634	339
4	1921	339
5	4959	339
6	7048	339
0	8228	339

Stop Event

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

Calls

Call 1

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

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

localize726.0ms (4.3%)

Memory

29.4MiB live, 954.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	12.136256734741208	(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	37.37201402327143	(.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
accuracy	40.810254380008956	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
accuracy	9.78848925594218	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
accuracy	20.52345414523065	(-.f64 (tan.f64 eps) eps)
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	61.543980508123255	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
accuracy	0.07498867766333887	#s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
accuracy	0.1171875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	40.810254380008956	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
accuracy	0.7672845600203382	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.0078125	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0.13604406907010458	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Samples

403.0ms	140×	2	valid
132.0ms	82×	1	valid
109.0ms	30×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 633 to 84 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 592.0ms

ival-tan: 147.0ms (24.8% of total)

ival-sin: 96.0ms (16.2% of total)

const: 92.0ms (15.5% of total)

adjust: 91.0ms (15.4% of total)

ival-pow: 64.0ms (10.8% of total)

ival-mult: 43.0ms (7.3% of total)

ival-add: 29.0ms (4.9% of total)

ival-sub: 15.0ms (2.5% of total)

ival-div: 15.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory

5.9MiB live, 123.8MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	eps	@	inf	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (pow eps 3)) (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (+ (* (pow (- eps (tan eps)) -1) eps) (/ (sin eps) (- (tan eps) eps))) (pow (- eps (tan eps)) -1) (- eps (tan eps)) (tan eps) (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (/ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (- eps (tan eps))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (* eps eps) (- (tan eps) eps) (/ (sin eps) (- (tan eps) eps)) (- (pow eps 3) (pow (sin eps) 3)))
10.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (pow eps 3)) (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (+ (* (pow (- eps (tan eps)) -1) eps) (/ (sin eps) (- (tan eps) eps))) (pow (- eps (tan eps)) -1) (- eps (tan eps)) (tan eps) (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (/ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (- eps (tan eps))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (* eps eps) (- (tan eps) eps) (/ (sin eps) (- (tan eps) eps)) (- (pow eps 3) (pow (sin eps) 3)))
7.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (pow eps 3)) (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (+ (* (pow (- eps (tan eps)) -1) eps) (/ (sin eps) (- (tan eps) eps))) (pow (- eps (tan eps)) -1) (- eps (tan eps)) (tan eps) (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (/ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (- eps (tan eps))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (* eps eps) (- (tan eps) eps) (/ (sin eps) (- (tan eps) eps)) (- (pow eps 3) (pow (sin eps) 3)))

Time

Variable

Point

Expression

14.0ms

eps

inf

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

10.0ms

eps

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

7.0ms

eps

-inf

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

simplify217.0ms (1.3%)

Memory

-3.2MiB live, 227.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	3796
1	1754	3571
2	5987	3472
0	8405	3341

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 245

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
1/6
(+ 1/6 (* -1/120 (pow eps 2)))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
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))))))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(/ 1/3 (pow eps 2))
(/ (+ 1/3 (* 1/18 (pow eps 2))) (pow eps 2))
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2))))) (pow eps 2))
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2))))))) (pow eps 2))
(* 3 (pow eps 2))
(* (pow eps 2) (+ 3 (* -1/2 (pow eps 2))))
(* (pow eps 2) (+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))))
(* (pow eps 2) (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 1/2))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 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))))))))
(/ 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))
(* 1/2 (pow eps 5))
(* (pow eps 5) (+ 1/2 (* -13/120 (pow eps 2))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* 41/3024 (pow eps 2)) 13/120))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 41/3024 (* -671/604800 (pow eps 2)))) 13/120))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* -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 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) 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)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)))
(* eps (- (+ 1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2)))) (pow eps 3))) (+ (* -1 (/ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))))))
(/ 1 (pow eps 2))
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)) (pow eps 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))) (pow eps 2))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ (sin eps) eps)))
(* (pow eps 2) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(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 (/ (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)
(pow eps 3)
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
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)))
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) 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) 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)))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1)))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) eps)) (/ (pow (sin eps) 2) eps))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (pow (sin eps) 3) (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2))))) (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)))) (/ (pow (sin eps) 3) (cos eps))))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(/ 1 (pow eps 2))
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) (pow eps 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps) (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) (pow eps 2))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ (sin eps) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) eps))) eps))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -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 (/ (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))
(pow eps 3)
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/120 (pow eps 2)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(/ -3 (pow eps 3))
(/.f64 #s(literal -3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/.f64 (fma.f64 #s(literal 6/5 binary64) (*.f64 eps eps) #s(literal -3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/175 binary64) (.f64 eps eps) #s(literal 6/5 binary64)) (.f64 eps eps) #s(literal -3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7875 binary64) (.f64 eps eps) #s(literal 1/175 binary64)) (.f64 eps eps) #s(literal 6/5 binary64)) (*.f64 eps eps) #s(literal -3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(/ 1/3 (pow eps 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(/ (+ 1/3 (* 1/18 (pow eps 2))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps)
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2))))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 11/3240 binary64) (.f64 eps eps) #s(literal 1/18 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps)
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2))))))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/27216 binary64) (.f64 eps eps) #s(literal 11/3240 binary64)) (.f64 eps eps) #s(literal 1/18 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps)
(* 3 (pow eps 2))
(.f64 #s(literal 3 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 3 (* -1/2 (pow eps 2))))
(.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 3 binary64)) eps) eps)
(* (pow eps 2) (+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(* (pow eps 2) (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 1/2))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/5040 binary64) (.f64 eps eps) #s(literal 19/360 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* 1/3 (pow eps 3))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/2835 binary64) (.f64 eps eps) #s(literal 17/315 binary64)) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ 3 (pow eps 2))
(/.f64 #s(literal 3 binary64) (*.f64 eps eps))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal -17/10 binary64) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 307/1400 binary64) (.f64 eps eps) #s(literal -17/10 binary64)) (.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1247/126000 binary64) (.f64 eps eps) #s(literal 307/1400 binary64)) (.f64 eps eps) #s(literal -17/10 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(* 1/2 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1/2 binary64))
(* (pow eps 5) (+ 1/2 (* -13/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -13/120 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* 41/3024 (pow eps 2)) 13/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 41/3024 binary64) (.f64 eps eps) #s(literal -13/120 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 41/3024 (* -671/604800 (pow eps 2)))) 13/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -671/604800 binary64) (.f64 eps eps) #s(literal 41/3024 binary64)) (.f64 eps eps) #s(literal -13/120 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (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 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.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))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))) #s(literal 1 binary64))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* 27/112000 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
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(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
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(* -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))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps) (sin.f64 eps)) (neg.f64 eps))
(pow eps 3)
(pow.f64 eps #s(literal 3 binary64))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64)))

rewrite231.0ms (1.4%)

Memory

-24.1MiB live, 244.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	279
0	75	279
1	330	244
2	2534	244
0	8542	244

Stop Event

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

Counts

21 → 725

Calls

Call 1

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

Outputs
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eval223.0ms (1.3%)

Memory: -0.0MiB live, 187.0MiB allocated
Compiler: Compiled 36 956 to 3 487 computations (90.6% saved)

prune52.0ms (0.3%)

Memory

25.3MiB live, 65.1MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 209	9	1 218
Fresh	10	2	12
Picked	3	2	5
Done	0	1	1
Total	1 222	14	1 236

Accuracy

100.0%

Counts

1 236 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.3%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)))
▶	2.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
	1.6%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
▶	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	98.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 572 to 313 computations (45.3% saved)

simplify187.0ms (1.1%)

Memory

-27.3MiB live, 95.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))
cost-diff	6080	(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))
cost-diff	13248	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)))
cost-diff	0	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	13248	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps))
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	348
0	73	344
1	128	342
2	210	336
3	524	326
4	1322	326
5	3265	326
6	4063	326
7	6318	326
0	8251	322

Stop Event

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

Calls

Call 1

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

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

localize635.0ms (3.7%)

Memory

-1.6MiB live, 344.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	10.711672986385922	(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))
accuracy	20.52345414523065	(-.f64 (tan.f64 eps) eps)
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	61.543980508123255	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)))
accuracy	9.78848925594218	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
accuracy	20.52345414523065	(-.f64 (tan.f64 eps) eps)
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	61.543980508123255	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
accuracy	0.07498867766333887	#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps))
accuracy	0.18359375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps))
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	40.810254380008956	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
accuracy	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.4566197760715768	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy	0	(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.13604406907010458	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.6455097545708594	#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64))

Samples

408.0ms	142×	2	valid
123.0ms	110×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 583 to 80 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 471.0ms

ival-tan: 127.0ms (27% of total)

ival-mult: 91.0ms (19.3% of total)

ival-sin: 85.0ms (18.1% of total)

const: 62.0ms (13.2% of total)

adjust: 35.0ms (7.4% of total)

ival-pow: 27.0ms (5.7% of total)

ival-add: 22.0ms (4.7% of total)

ival-sub: 11.0ms (2.3% of total)

ival-div: 10.0ms (2.1% of total)

exact: 1.0ms (0.2% of total)

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

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

series17.0ms (0.1%)

Memory

7.7MiB live, 45.5MiB allocated

Counts

19 → 228

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

eps

inf

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

2.0ms

eps

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

2.0ms

eps

-inf

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

simplify188.0ms (1.1%)

Memory

-26.4MiB live, 285.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	3322
1	1082	3173
2	3390	3023
0	8221	2907

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
1/6
(+ 1/6 (* -1/120 (pow eps 2)))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/3 (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 (* 1/3 (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))))))))
(/ 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))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(/ 3 (pow eps 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))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(* 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
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(* -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
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(* -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 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) 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)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
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)))
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)))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos 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))
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)))
(* -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))
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) 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) eps))
(* -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)))))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/120 (pow eps 2)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* -1/3 (pow eps 3))
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(/.f64 (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) (sin.f64 eps)) (neg.f64 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))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps) (sin.f64 eps)) (neg.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(* -1 (/ (sin eps) eps))
(/.f64 (sin.f64 eps) (neg.f64 eps))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(/.f64 (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) (sin.f64 eps)) (neg.f64 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))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps) (sin.f64 eps)) (neg.f64 eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) #s(literal 1 binary64)) 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) eps))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))

rewrite228.0ms (1.3%)

Memory

13.3MiB live, 372.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	255
0	73	251
1	319	245
2	2183	245
0	9468	241

Stop Event

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

Counts

19 → 605

Calls

Call 1

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

Outputs
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eval193.0ms (1.1%)

Memory: 42.0MiB live, 425.1MiB allocated
Compiler: Compiled 33 347 to 2 853 computations (91.4% saved)

prune53.0ms (0.3%)

Memory

-32.4MiB live, 151.0MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 218	2	1 220
Fresh	1	5	6
Picked	1	4	5
Done	0	3	3
Total	1 220	14	1 234

Accuracy

100.0%

Counts

1 234 → 14

Alt Table

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Status	Accuracy	Program
✓	2.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
▶	2.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	1.6%	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps)))
▶	1.6%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
✓	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
▶	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
▶	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	98.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 513 to 274 computations (46.6% saved)

simplify102.0ms (0.6%)

Memory

13.8MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps)))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))
cost-diff	6080	(.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps))
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
cost-diff	1024	(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
cost-diff	0	#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)))
cost-diff	6080	(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	624
0	97	612
1	165	611
2	338	603
3	1100	579
4	3350	563
5	5002	563
0	8011	563

Stop Event

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

Calls

Call 1

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

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

localize796.0ms (4.7%)

Memory

-1.5MiB live, 1 297.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	31.43950768263809	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))
accuracy	37.37201402327143	(.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))))
accuracy	40.810254380008956	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps)))
accuracy	0.07498867766333887	#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps))
accuracy	0.18359375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps))
accuracy	20.565478291792974	(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
accuracy	40.810254380008956	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
accuracy	0.0546875	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	31.49341505484777	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
accuracy	40.810254380008956	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
accuracy	0.125	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
accuracy	0.37890625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	40.810254380008956	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
accuracy	10.711672986385922	(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))
accuracy	20.52345414523065	(-.f64 (tan.f64 eps) eps)
accuracy	20.52345414523065	(-.f64 eps (tan.f64 eps))
accuracy	61.543980508123255	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)))

Samples

491.0ms	144×	2	valid
138.0ms	30×	3	valid
89.0ms	78×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 1 051 to 100 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 645.0ms

ival-tan: 182.0ms (28.2% of total)

ival-mult: 98.0ms (15.2% of total)

ival-sin: 86.0ms (13.3% of total)

ival-add: 64.0ms (9.9% of total)

adjust: 63.0ms (9.8% of total)

ival-pow: 39.0ms (6% of total)

ival-div: 33.0ms (5.1% of total)

ival-cos: 30.0ms (4.7% of total)

const: 28.0ms (4.3% of total)

ival-sub: 21.0ms (3.3% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series27.0ms (0.2%)

Memory

-13.0MiB live, 29.1MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#s(alt (/ 3 (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) (patch (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) (patch (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) (patch (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) (patch (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.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 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ -3 (pow eps 3)) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3)) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3)) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3)) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 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 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 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 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (patch #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (patch #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (patch #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #<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 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (patch #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 eps) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* -1/120 (pow eps 2))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

eps

-inf

((* (pow (- (tan eps) eps) -1) (sin eps)) (+ (* (/ 1 (- eps (tan eps))) eps) (* (pow (- (tan eps) eps) -1) (sin eps))) (/ 1 (- eps (tan eps))) (- eps (tan eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* (- 1 (/ (sin eps) eps)) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* eps eps)) (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (* (- 1 (pow (/ (sin eps) eps) 3)) (pow eps 3)) (/ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (- eps (tan eps))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (tan eps) eps) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (- 1 (pow (/ (sin eps) eps) 3)))

2.0ms

eps

inf

((* (pow (- (tan eps) eps) -1) (sin eps)) (+ (* (/ 1 (- eps (tan eps))) eps) (* (pow (- (tan eps) eps) -1) (sin eps))) (/ 1 (- eps (tan eps))) (- eps (tan eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* (- 1 (/ (sin eps) eps)) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* eps eps)) (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (* (- 1 (pow (/ (sin eps) eps) 3)) (pow eps 3)) (/ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (- eps (tan eps))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (tan eps) eps) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (- 1 (pow (/ (sin eps) eps) 3)))

2.0ms

eps

((* (pow (- (tan eps) eps) -1) (sin eps)) (+ (* (/ 1 (- eps (tan eps))) eps) (* (pow (- (tan eps) eps) -1) (sin eps))) (/ 1 (- eps (tan eps))) (- eps (tan eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* (- 1 (/ (sin eps) eps)) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) (* eps eps)) (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (* (- 1 (pow (/ (sin eps) eps) 3)) (pow eps 3)) (/ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (pow eps 3) (pow (sin eps) 3))) (- eps (tan eps))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (- (tan eps) eps) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (- 1 (pow (/ (sin eps) eps) 3)))

simplify158.0ms (0.9%)

Memory

24.1MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	4153
1	1686	3910
2	5759	3812
0	8288	3659

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 262

Calls

Call 1

Inputs
(/ 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))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
1/6
(+ 1/6 (* -1/120 (pow eps 2)))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/2 (pow eps 5))
(* (pow eps 5) (+ 1/2 (* -13/120 (pow eps 2))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* 41/3024 (pow eps 2)) 13/120))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 41/3024 (* -671/604800 (pow eps 2)))) 13/120))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(/ 1/3 (pow eps 2))
(/ (+ 1/3 (* 1/18 (pow eps 2))) (pow eps 2))
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2))))) (pow eps 2))
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2))))))) (pow eps 2))
(* 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))))))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/2 (pow eps 2))
(* (pow eps 2) (+ 1/2 (* -13/120 (pow eps 2))))
(* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 41/3024 (pow eps 2)) 13/120))))
(* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 41/3024 (* -671/604800 (pow eps 2)))) 13/120))))
(* -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
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) 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)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)))
(* eps (- (+ 1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
(pow eps 3)
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2)))) (pow eps 3))) (+ (* -1 (/ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))))))
(/ 1 (pow eps 2))
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)) (pow eps 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))) (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))
(* -1/362880 (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
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(* -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))
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)))
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) 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) 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
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) 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
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1)))
(pow eps 3)
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) eps)) (/ (pow (sin eps) 2) eps))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (pow (sin eps) 3) (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2))))) (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)))) (/ (pow (sin eps) 3) (cos eps))))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(/ 1 (pow eps 2))
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) (pow eps 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps) (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) (pow eps 2))
(* -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 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
1
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))

Outputs
(/ 3 (pow eps 2))
(/.f64 #s(literal 3 binary64) (*.f64 eps eps))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal -17/10 binary64) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 307/1400 binary64) (.f64 eps eps) #s(literal -17/10 binary64)) (.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1247/126000 binary64) (.f64 eps eps) #s(literal 307/1400 binary64)) (.f64 eps eps) #s(literal -17/10 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) 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 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(/ -3 (pow eps 3))
(/.f64 #s(literal -3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/.f64 (fma.f64 #s(literal 6/5 binary64) (*.f64 eps eps) #s(literal -3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/175 binary64) (.f64 eps eps) #s(literal 6/5 binary64)) (.f64 eps eps) #s(literal -3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7875 binary64) (.f64 eps eps) #s(literal 1/175 binary64)) (.f64 eps eps) #s(literal 6/5 binary64)) (*.f64 eps eps) #s(literal -3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 eps)
(*.f64 #s(literal 1/6 binary64) eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/120 (pow eps 2)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 2))
(.f64 (.f64 #s(literal 1/6 binary64) eps) eps)
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 2))
(.f64 (.f64 #s(literal 1/6 binary64) eps) eps)
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
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(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (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) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (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 (sin.f64 eps) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps) (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) eps)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (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) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (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 (sin.f64 eps) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps) (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) eps)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1/362880 (pow eps 8))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/362880 binary64))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal 1/362880 binary64)))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow eps 8) (- (+ (* 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 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1)))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 eps))
(pow eps 3)
(pow.f64 eps #s(literal 3 binary64))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2) eps)) (/ (pow (sin eps) 2) eps))) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (pow (sin eps) 3) (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2))))) (+ (* -1 (* (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)))) (/ (pow (sin eps) 3) (cos eps))))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (* -1 (sin eps)) (/ (sin eps) (cos eps))) 2)) (pow (sin eps) 2)))) eps)) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (-.f64 (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64))) (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)))) eps) (-.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64)))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(/ 1 (pow eps 2))
(/.f64 (/.f64 #s(literal 1 binary64) eps) eps)
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) eps)
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) (pow eps 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) eps)
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps) (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) (pow eps 2))
(/.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)) (*.f64 eps eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1/362880 (pow eps 9))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -1/362880 binary64))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 (pow.f64 eps #s(literal 9 binary64))) (+.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)))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(.f64 (neg.f64 (pow.f64 eps #s(literal 9 binary64))) (-.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)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))
(+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))

rewrite185.0ms (1.1%)

Memory

-16.6MiB live, 235.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	407
0	97	397
1	381	382
2	2739	382
0	8467	382

Stop Event

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

Counts

23 → 428

Calls

Call 1

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

Outputs
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eval135.0ms (0.8%)

Memory: 15.1MiB live, 127.6MiB allocated
Compiler: Compiled 26 733 to 2 645 computations (90.1% saved)

prune37.0ms (0.2%)

Memory

-18.5MiB live, 67.9MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	844	7	851
Fresh	2	0	2
Picked	3	2	5
Done	0	7	7
Total	849	16	865

Accuracy

100.0%

Counts

865 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) #s(approx (- (pow eps 3) (pow (sin eps) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64))))) (pow.f64 eps #s(literal 3 binary64))))) (-.f64 eps (tan.f64 eps)))
	1.6%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))))) eps)) (-.f64 eps (tan.f64 eps)))
✓	1.6%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
✓	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
	1.8%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (*.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (neg.f64 eps)) eps)))
✓	1.9%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
	1.9%	(.f64 (pow.f64 #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)) #s(literal -1 binary64)) #s(approx (- eps (sin eps)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)))))
	1.6%	(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	98.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 1 292 to 408 computations (68.4% saved)

regimes24.0ms (0.1%)

Memory

-3.3MiB live, 32.2MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

13.0ms	eps
9.0ms	(/.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 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

8.3MiB live, 8.3MiB 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`eps`
99.6%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`eps`
99.3%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`eps`
98.8%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify22.0ms (0.1%)

Memory

1.2MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness347.0ms (2%)

Memory

-9.8MiB live, 181.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5649	444
0	8475	418

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 72 to 39 computations (45.8% saved)

preprocess90.0ms (0.5%)

Memory: 13.9MiB live, 96.5MiB allocated
Remove: (abs eps)
Compiler: Compiled 142 to 76 computations (46.5% 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%)

analyze426.0ms (2.5%)

sample9.9s (58.3%)

explain611.0ms (3.6%)

preprocess53.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify20.0ms (0.1%)

localize260.0ms (1.5%)

series5.0ms (0%)

simplify401.0ms (2.4%)

rewrite188.0ms (1.1%)

eval57.0ms (0.3%)

prune24.0ms (0.1%)

simplify124.0ms (0.7%)

localize726.0ms (4.3%)

series43.0ms (0.3%)

simplify217.0ms (1.3%)

rewrite231.0ms (1.4%)

eval223.0ms (1.3%)

prune52.0ms (0.3%)

simplify187.0ms (1.1%)

localize635.0ms (3.7%)

series17.0ms (0.1%)

simplify188.0ms (1.1%)

rewrite228.0ms (1.3%)

eval193.0ms (1.1%)

prune53.0ms (0.3%)

simplify102.0ms (0.6%)

localize796.0ms (4.7%)

series27.0ms (0.2%)

simplify158.0ms (0.9%)

rewrite185.0ms (1.1%)

eval135.0ms (0.8%)

prune37.0ms (0.2%)

regimes24.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify22.0ms (0.1%)

soundness347.0ms (2%)

preprocess90.0ms (0.5%)

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