Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze434.0ms (2.7%)

Memory

23.1MiB live, 446.9MiB 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 (61.1%)

Memory

88.2MiB live, 9 748.6MiB allocated

Samples

7.4s	4 597×	2	valid
1.3s	1 111×	3	valid
758.0ms	2 407×	1	valid
15.0ms	141×	0	valid

Precisions

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

ival-tan: 5.1s (56.7% of total)

ival-sin: 2.5s (27.6% of total)

ival-sub: 443.0ms (5% of total)

const: 376.0ms (4.2% of total)

adjust: 361.0ms (4% of total)

ival-div: 143.0ms (1.6% of total)

ival-<=: 61.0ms (0.7% of total)

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

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

Bogosity

explain545.0ms (3.4%)

Memory

20.0MiB live, 858.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
165	-	1	(2.5427428484321388e-107)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
92	-	0	-	`(-.f64 eps (tan.f64 eps))`
92	-	0	-	`(-.f64 eps (sin.f64 eps))`
0	-	0	-	`(tan.f64 eps)`
0	-	0	-	`eps`
0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	1	0	0

Precision?

0.99609375

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

320.0ms	286×	2	valid
41.0ms	58×	3	valid
29.0ms	158×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-tan: 184.0ms (51.5% of total)

ival-sin: 135.0ms (37.8% of total)

adjust: 16.0ms (4.5% of total)

ival-sub: 15.0ms (4.2% of total)

ival-div: 6.0ms (1.7% of total)

ival-true: 1.0ms (0.3% of total)

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

preprocess46.0ms (0.3%)

Memory

-0.8MiB live, 78.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.9%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify72.0ms (0.4%)

Memory

-17.1MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize191.0ms (1.2%)

Memory

3.1MiB live, 167.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	20.62635632737768	(-.f64 eps (tan.f64 eps))
accuracy	20.651039605996285	(-.f64 eps (sin.f64 eps))
accuracy	40.90478976909455	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

147.0ms	143×	2	valid
20.0ms	29×	3	valid
15.0ms	79×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-tan: 99.0ms (58.4% of total)

ival-sin: 46.0ms (27.1% of total)

adjust: 9.0ms (5.3% of total)

ival-div: 8.0ms (4.7% of total)

ival-sub: 7.0ms (4.1% of total)

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

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

series4.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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)))

simplify200.0ms (1.2%)

Memory

-5.8MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

rewrite165.0ms (1%)

Memory

28.8MiB live, 255.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps)))
(.f64 (/.f64 (/.f64 (-.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 eps #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))
(.f64 (/.f64 (/.f64 (-.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 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))))
(.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 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.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 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))
(.f64 (pow.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
(.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))
(.f64 (/.f64 (-.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)))
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eval44.0ms (0.3%)

Memory: 7.6MiB live, 89.1MiB allocated
Compiler: Compiled 11 528 to 1 222 computations (89.4% saved)

prune20.0ms (0.1%)

Memory

-8.7MiB live, 27.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	458	4	462
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	459	4	463

Accuracy

100.0%

Counts

463 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify306.0ms (1.9%)

Memory

8.0MiB live, 134.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
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)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	(*.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 (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Rules

5 656×	`lower-fma.f32`
5 644×	`lower-fma.f64`
1 768×	`lower-*.f32`
1 766×	`lower-*.f64`
912×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	152
0	34	152
1	65	152
2	111	152
3	229	152
4	455	152
5	787	152
6	1248	152
7	1820	152
8	3834	152
9	4943	152
10	5412	152
11	5500	152
12	5531	152
13	5547	152
14	5568	152
15	5676	152
16	5690	152
17	5690	152
18	5690	152
19	5690	152
20	5696	152
0	5696	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize330.0ms (2%)

Memory

-13.6MiB live, 585.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	#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)))
accuracy	0.01171875	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.0078125	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.08593253181166319	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.20811377670059167	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy	0.5890436234576919	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Samples

201.0ms	143×	2	valid
55.0ms	79×	1	valid
34.0ms	29×	3	valid
1.0ms	5×	0	valid

Compiler

Compiled 126 to 25 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-tan: 83.0ms (31.9% of total)

ival-sin: 52.0ms (20% of total)

adjust: 47.0ms (18.1% of total)

ival-add: 26.0ms (10% of total)

const: 20.0ms (7.7% of total)

ival-mult: 18.0ms (6.9% of total)

ival-sub: 11.0ms (4.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

-2.2MiB live, 36.2MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

eps

-inf

((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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))

2.0ms

eps

inf

((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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))

1.0ms

eps

((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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))

simplify156.0ms (1%)

Memory

12.2MiB live, 203.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 476×	`lower-fma.f64`
13 476×	`lower-fma.f32`
5 876×	`lower-*.f64`
5 876×	`lower-*.f32`
3 220×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1734
1	320	1646
2	996	1546
3	4108	1486
0	8961	1411

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 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)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
-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
(- (+ 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))))))
(* 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))))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
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) (/ (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)))
(* 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)))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
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)))))

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

rewrite163.0ms (1%)

Memory

15.1MiB live, 134.0MiB allocated

Rules

5 154×	`lower-/.f64`
5 154×	`lower-/.f32`
5 106×	`lower-*.f32`
5 104×	`lower-*.f64`
3 492×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	34	133
1	171	133
2	1312	133
0	8508	133

Stop Event

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

Counts

11 → 244

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))))
(.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))))))
(.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
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eval109.0ms (0.7%)

Memory: -7.1MiB live, 68.7MiB allocated
Compiler: Compiled 11 351 to 1 337 computations (88.2% saved)

prune31.0ms (0.2%)

Memory

-25.2MiB live, 23.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	465	1	466
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	465	5	470

Accuracy

100.0%

Counts

470 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 96 to 52 computations (45.8% saved)

simplify210.0ms (1.3%)

Memory

19.0MiB live, 93.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
cost-diff	320	(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64))

Rules

14 420×	`lower-fma.f32`
14 412×	`lower-fma.f64`
5 576×	`lower-*.f32`
5 566×	`lower-*.f64`
2 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	324
0	48	318
1	93	318
2	221	318
3	787	318
4	4003	318
5	4630	318
6	6535	318
0	8296	318

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.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 4 binary64)
#s(literal 1/16 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.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)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 1/4 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))
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 4 binary64)
#s(literal 1/16 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.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)) #s(literal 2 binary64))
(pow.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)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 1/4 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 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize531.0ms (3.3%)

Memory

10.6MiB live, 257.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
accuracy	0.140625	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
accuracy	0.14394384768442017	(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64))
accuracy	0.1875	(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)

Samples

246.0ms	141×	2	valid
160.0ms	31×	3	valid
43.0ms	79×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 303 to 35 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-tan: 129.0ms (37.1% of total)

ival-sin: 85.0ms (24.5% of total)

adjust: 51.0ms (14.7% of total)

ival-mult: 24.0ms (6.9% of total)

const: 18.0ms (5.2% of total)

ival-sub: 10.0ms (2.9% of total)

ival-add: 10.0ms (2.9% of total)

ival-pow: 8.0ms (2.3% of total)

ival-div: 7.0ms (2% of total)

ival-pow2: 5.0ms (1.4% of total)

exact: 1.0ms (0.3% of total)

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

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

series23.0ms (0.1%)

Memory

-13.9MiB live, 22.9MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (patch (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
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#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())

Outputs
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#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))) (patch (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))) #<representation binary64>) () ())) ())
#s(alt (* 531441/157351936000000000000 (pow eps 24)) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (patch (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (patch (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (patch (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (patch (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 5)) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 531441/157351936000000000000 (pow eps 24)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 6)) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

eps

((* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))

2.0ms

eps

inf

((* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))

1.0ms

eps

-inf

((* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps))

simplify183.0ms (1.1%)

Memory

17.2MiB live, 176.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 564×	`lower-fma.f64`
13 564×	`lower-fma.f32`
5 316×	`lower-*.f64`
5 316×	`lower-*.f32`
2 016×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	1144
1	438	1122
2	1266	1097
3	4714	1074
0	8314	1038

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
-1/16
-1/16
(- (* 6561/2560000 (pow eps 8)) 1/16)
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
-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)
-1/16
-1/16
(- (* 6561/2560000 (pow eps 8)) 1/16)
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 6561/2560000 (pow eps 8))
(* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2))))
(* (pow eps 8) (+ 6561/2560000 (* (pow eps 2) (- (* 19683/501760000 (pow eps 2)) 19683/44800000))))
(* (pow eps 8) (+ 6561/2560000 (* (pow eps 2) (- (* (pow eps 2) (+ 19683/501760000 (* -1948617/878080000000 (pow eps 2)))) 19683/44800000))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
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))))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
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))))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))

Outputs
-1/16
#s(literal -1/16 binary64)
-1/16
#s(literal -1/16 binary64)
(- (* 6561/2560000 (pow eps 8)) 1/16)
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 6561/2560000 binary64) #s(literal -1/16 binary64))
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 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))
-1/2
#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))
-1/16
#s(literal -1/16 binary64)
-1/16
#s(literal -1/16 binary64)
(- (* 6561/2560000 (pow eps 8)) 1/16)
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 6561/2560000 binary64) #s(literal -1/16 binary64))
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* 6561/2560000 (pow eps 8))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 6561/2560000 binary64))
(* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2))))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (+ 6561/2560000 (* (pow eps 2) (- (* 19683/501760000 (pow eps 2)) 19683/44800000))))
(.f64 (fma.f64 (fma.f64 #s(literal 19683/501760000 binary64) (.f64 eps eps) #s(literal -19683/44800000 binary64)) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (+ 6561/2560000 (* (pow eps 2) (- (* (pow eps 2) (+ 19683/501760000 (* -1948617/878080000000 (pow eps 2)))) 19683/44800000))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1948617/878080000000 binary64) (.f64 eps eps) #s(literal 19683/501760000 binary64)) (.f64 eps eps) #s(literal -19683/44800000 binary64)) (.f64 eps eps) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (/.f64 #s(literal 5845851/2458624000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 24 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 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) (sin.f64 eps) #s(literal -1 binary64))) 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 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 eps) eps) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (*.f64 eps eps)) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (/.f64 #s(literal 5845851/2458624000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 24 binary64)))
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))))
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (/.f64 #s(literal 5845851/2458624000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 24 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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 6 binary64)))
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (/.f64 #s(literal 5845851/2458624000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 24 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) #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 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) (sin.f64 eps) #s(literal -1 binary64))) eps) #s(literal 1 binary64))
(+ 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 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (/.f64 #s(literal 5845851/2458624000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 24 binary64)))
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))))
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (/.f64 #s(literal 5845851/2458624000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 24 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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 6 binary64)))

rewrite225.0ms (1.4%)

Memory

-44.6MiB live, 244.3MiB allocated

Rules

5 118×	`lower-/.f32`
5 116×	`lower-/.f64`
4 532×	`lower-fma.f32`
4 524×	`lower-fma.f64`
4 036×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	209
0	48	203
1	221	127
2	1684	127
0	8384	123

Stop Event

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

Counts

7 → 323

Calls

Call 1

Inputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 12 binary64)) #s(literal 1/4096 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64))) #s(literal 1/256 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal -1/16 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 eps #s(literal 9/40 binary64)))) (.f64 (.f64 eps eps) (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) (.f64 eps eps) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) (.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) (.f64 eps eps)) (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps)) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps)))
(exp.f64 (.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (log.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)))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (log.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)))))

eval135.0ms (0.8%)

Memory: 12.1MiB live, 206.2MiB allocated
Compiler: Compiled 29 150 to 1 786 computations (93.9% saved)

prune8.0ms (0.1%)

Memory

33.0MiB live, 33.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	405	2	407
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	406	6	412

Accuracy

100.0%

Counts

412 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 162 to 84 computations (48.1% saved)

simplify179.0ms (1.1%)

Memory

-2.2MiB live, 232.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
cost-diff	384	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
cost-diff	0	#s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))

Rules

12 114×	`lower-fma.f32`
12 098×	`lower-fma.f64`
6 596×	`lower-*.f32`
6 588×	`lower-*.f64`
2 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	745
0	87	739
1	157	739
2	302	739
3	1017	739
4	5363	739
5	6337	739
0	8528	739

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
(/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
#s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64)))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64))
(*.f64 eps eps)
eps
#s(literal -19683/44800000 binary64)
#s(literal 6561/2560000 binary64)
(pow.f64 eps #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal -1/16 binary64)
(.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.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)) #s(literal 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)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 2 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/4 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))
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps eps)
eps
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 8 binary64)
#s(literal 1/256 binary64)
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 eps #s(literal 8 binary64))
(pow.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)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/16 binary64)
(.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.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)) #s(literal 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 2 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 1/4 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))
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -19683/44800000 binary64) (.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal -1/16 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 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
(/.f64 (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -19683/44800000 binary64) (.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal -1/16 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 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64)))
#s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal -1/16 binary64)))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal -1/16 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64))
(fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64))
(*.f64 eps eps)
eps
#s(literal -19683/44800000 binary64)
#s(literal 6561/2560000 binary64)
(pow.f64 eps #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal -1/16 binary64)
(.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.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)) #s(literal 2 binary64))
(pow.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)) #s(literal 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)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 2 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/4 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))
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.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)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal 1/16 binary64)))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps eps)
eps
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 8 binary64)
#s(literal 1/256 binary64)
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(fma.f64 (pow.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)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal 1/16 binary64))
(pow.f64 eps #s(literal 8 binary64))
(pow.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)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/16 binary64)
(.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.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)) #s(literal 2 binary64))
(pow.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)) #s(literal 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 2 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 1/4 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))
#s(literal 1/2 binary64)

localize548.0ms (3.4%)

Memory

-9.6MiB live, 944.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
accuracy	0.12957637930507393	(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64))
accuracy	0.140625	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
accuracy	0.1875	(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
accuracy	0.0078125	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
accuracy	0.01171875	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0.015625	(pow.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)) #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))

Samples

289.0ms	141×	2	valid
82.0ms	31×	3	valid
82.0ms	79×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 657 to 58 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

adjust: 98.0ms (24.7% of total)

ival-tan: 84.0ms (21.2% of total)

ival-sin: 61.0ms (15.4% of total)

ival-mult: 41.0ms (10.3% of total)

const: 33.0ms (8.3% of total)

ival-pow: 21.0ms (5.3% of total)

ival-add: 20.0ms (5% of total)

ival-div: 17.0ms (4.3% of total)

ival-sub: 15.0ms (3.8% of total)

ival-pow2: 5.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series24.0ms (0.2%)

Memory

0.9MiB live, 43.4MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx ( (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (patch #s(approx ( (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64)) (patch (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (patch (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (patch (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))) (patch (/.f64 #s(approx ( (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))) #<representation binary64>) () ())
#s(alt (pow.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)) #s(literal 2 binary64)) (patch (pow.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)) #s(literal 2 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 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx ( (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf 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 5)) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 6)) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 282429536481/24759631762948096000000000000000000000000 (pow eps 48)) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 48) (- 282429536481/24759631762948096000000000000000000000000 (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (+ (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))) (* 1788720397713/27633517592576000000000000000000000 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) (patch (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

eps

inf

((/ (- eps (sin eps)) (- eps (tan eps))) (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (+ (* (+ (* (* eps eps) -19683/44800000) 6561/2560000) (pow eps 8)) -1/16) (+ (* (* eps eps) -19683/44800000) 6561/2560000) (/ (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (+ (* (pow eps 8) (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 4)) 1/16)) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (+ (* (pow eps 8) (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 4)) 1/16)) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (/ (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (+ (* 27/112000 (* eps eps)) -27/2800) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8))

2.0ms

eps

-inf

((/ (- eps (sin eps)) (- eps (tan eps))) (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (+ (* (+ (* (* eps eps) -19683/44800000) 6561/2560000) (pow eps 8)) -1/16) (+ (* (* eps eps) -19683/44800000) 6561/2560000) (/ (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (+ (* (pow eps 8) (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 4)) 1/16)) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (+ (* (pow eps 8) (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 4)) 1/16)) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (/ (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (+ (* 27/112000 (* eps eps)) -27/2800) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8))

2.0ms

eps

((/ (- eps (sin eps)) (- eps (tan eps))) (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (+ (* (+ (* (* eps eps) -19683/44800000) 6561/2560000) (pow eps 8)) -1/16) (+ (* (* eps eps) -19683/44800000) 6561/2560000) (/ (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (+ (* (pow eps 8) (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 4)) 1/16)) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (+ (* (pow eps 8) (pow (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) 4)) 1/16)) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) (/ (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (* (+ (* (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (pow eps 4)) 1/4) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2))) (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (+ (* 27/112000 (* eps eps)) -27/2800) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8))

simplify201.0ms (1.2%)

Memory

0.7MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 104×	`lower-fma.f64`
12 104×	`lower-fma.f32`
5 506×	`lower-*.f64`
5 506×	`lower-*.f32`
2 114×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	2078
1	607	2040
2	1671	1990
3	5725	1976
0	8314	1898

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)
-1/16
-1/16
(- (* 6561/2560000 (pow eps 8)) 1/16)
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
-1/16
-1/16
(- (* 6561/2560000 (pow eps 8)) 1/16)
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
6561/2560000
(+ 6561/2560000 (* -19683/44800000 (pow eps 2)))
(+ 6561/2560000 (* -19683/44800000 (pow eps 2)))
(+ 6561/2560000 (* -19683/44800000 (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)
-1/2
(- (* 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)
-1/16
-1/16
(- (* 6561/2560000 (pow eps 8)) 1/16)
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
-1/256
-1/256
-1/256
(- (* 43046721/6553600000000 (pow eps 16)) 1/256)
-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)
81/1600
(+ 81/1600 (* -243/56000 (pow eps 2)))
(+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))
(+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 43046721/6553600000000 (pow eps 16))
(* (pow eps 16) (+ 43046721/6553600000000 (* -129140163/57344000000000 (pow eps 2))))
(* (pow eps 16) (+ 43046721/6553600000000 (* (pow eps 2) (- (* 129140163/327680000000000 (pow eps 2)) 129140163/57344000000000))))
(* (pow eps 16) (+ 43046721/6553600000000 (* (pow eps 2) (- (* (pow eps 2) (+ 129140163/327680000000000 (* -7360989291/160563200000000000 (pow eps 2)))) 129140163/57344000000000))))
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))))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* -19683/44800000 (pow eps 10))
(* (pow eps 10) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 10) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 10) (- (* 6561/2560000 (/ 1 (pow eps 2))) (+ 19683/44800000 (/ 1/16 (pow eps 10)))))
(* -19683/44800000 (pow eps 2))
(* (pow eps 2) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 2) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 2) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(- (+ 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))))))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* 282429536481/24759631762948096000000000000000000000000 (pow eps 48))
(* (pow eps 48) (- 282429536481/24759631762948096000000000000000000000000 (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (+ (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))) (* 1788720397713/27633517592576000000000000000000000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 8))
(* (pow eps 8) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 282429536481/24759631762948096000000000000000000000000 (pow eps 48))
(* (pow eps 48) (- 282429536481/24759631762948096000000000000000000000000 (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (+ (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))) (* 1788720397713/27633517592576000000000000000000000 (/ 1 (pow eps 6))))))
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)))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* -19683/44800000 (pow eps 10))
(* (pow eps 10) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 10) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 10) (- (* 6561/2560000 (/ 1 (pow eps 2))) (+ 19683/44800000 (/ 1/16 (pow eps 10)))))
(* -19683/44800000 (pow eps 2))
(* (pow eps 2) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 2) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* (pow eps 2) (- (* 6561/2560000 (/ 1 (pow eps 2))) 19683/44800000))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(+ 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)))
(* 531441/157351936000000000000 (pow eps 24))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(* 282429536481/24759631762948096000000000000000000000000 (pow eps 48))
(* (pow eps 48) (- 282429536481/24759631762948096000000000000000000000000 (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (+ (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))) (* 1788720397713/27633517592576000000000000000000000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 8))
(* (pow eps 8) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 282429536481/24759631762948096000000000000000000000000 (pow eps 48))
(* (pow eps 48) (- 282429536481/24759631762948096000000000000000000000000 (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (+ (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))) (* 1788720397713/27633517592576000000000000000000000 (/ 1 (pow eps 6))))))

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))
-1/16
#s(literal -1/16 binary64)
-1/16
#s(literal -1/16 binary64)
(- (* 6561/2560000 (pow eps 8)) 1/16)
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 6561/2560000 binary64) #s(literal -1/16 binary64))
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
(fma.f64 (fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
-1/16
#s(literal -1/16 binary64)
-1/16
#s(literal -1/16 binary64)
(- (* 6561/2560000 (pow eps 8)) 1/16)
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 6561/2560000 binary64) #s(literal -1/16 binary64))
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
(fma.f64 (fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
6561/2560000
#s(literal 6561/2560000 binary64)
(+ 6561/2560000 (* -19683/44800000 (pow eps 2)))
(fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64))
(+ 6561/2560000 (* -19683/44800000 (pow eps 2)))
(fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64))
(+ 6561/2560000 (* -19683/44800000 (pow eps 2)))
(fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 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))
-1/16
#s(literal -1/16 binary64)
-1/16
#s(literal -1/16 binary64)
(- (* 6561/2560000 (pow eps 8)) 1/16)
(fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 6561/2560000 binary64) #s(literal -1/16 binary64))
(- (* (pow eps 8) (+ 6561/2560000 (* -19683/44800000 (pow eps 2)))) 1/16)
(fma.f64 (fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
-1/256
#s(literal -1/256 binary64)
-1/256
#s(literal -1/256 binary64)
-1/256
#s(literal -1/256 binary64)
(- (* 43046721/6553600000000 (pow eps 16)) 1/256)
(fma.f64 (pow.f64 eps #s(literal 16 binary64)) #s(literal 43046721/6553600000000 binary64) #s(literal -1/256 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))
81/1600
#s(literal 81/1600 binary64)
(+ 81/1600 (* -243/56000 (pow eps 2)))
(fma.f64 #s(literal -243/56000 binary64) (*.f64 eps eps) #s(literal 81/1600 binary64))
(+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))
(fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps) #s(literal -243/56000 binary64)) (.f64 eps eps) #s(literal 81/1600 binary64))
(+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -729/156800000 binary64) (.f64 eps eps) #s(literal 3159/15680000 binary64)) (.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64))
-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))
(* 9/40 eps)
(*.f64 eps #s(literal 9/40 binary64))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* 9/40 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* 43046721/6553600000000 (pow eps 16))
(*.f64 (pow.f64 eps #s(literal 16 binary64)) #s(literal 43046721/6553600000000 binary64))
(* (pow eps 16) (+ 43046721/6553600000000 (* -129140163/57344000000000 (pow eps 2))))
(.f64 (fma.f64 #s(literal -129140163/57344000000000 binary64) (.f64 eps eps) #s(literal 43046721/6553600000000 binary64)) (pow.f64 eps #s(literal 16 binary64)))
(* (pow eps 16) (+ 43046721/6553600000000 (* (pow eps 2) (- (* 129140163/327680000000000 (pow eps 2)) 129140163/57344000000000))))
(.f64 (fma.f64 (fma.f64 #s(literal 129140163/327680000000000 binary64) (.f64 eps eps) #s(literal -129140163/57344000000000 binary64)) (*.f64 eps eps) #s(literal 43046721/6553600000000 binary64)) (pow.f64 eps #s(literal 16 binary64)))
(* (pow eps 16) (+ 43046721/6553600000000 (* (pow eps 2) (- (* (pow eps 2) (+ 129140163/327680000000000 (* -7360989291/160563200000000000 (pow eps 2)))) 129140163/57344000000000))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7360989291/160563200000000000 binary64) (.f64 eps eps) #s(literal 129140163/327680000000000 binary64)) (.f64 eps eps) #s(literal -129140163/57344000000000 binary64)) (.f64 eps eps) #s(literal 43046721/6553600000000 binary64)) (pow.f64 eps #s(literal 16 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 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 eps) eps) (+.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)))))
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
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(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))
(* 531441/157351936000000000000 (pow eps 24))
(*.f64 (pow.f64 eps #s(literal 24 binary64)) #s(literal 531441/157351936000000000000 binary64))
(* (pow eps 24) (- 531441/157351936000000000000 (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 531441/157351936000000000000 binary64) (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (* 531441/983449600000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (pow.f64 eps #s(literal 24 binary64)))
(* (pow eps 24) (- (+ 531441/157351936000000000000 (/ 177147/3933798400000000 (pow eps 4))) (+ (* 531441/983449600000000000 (/ 1 (pow eps 2))) (* 5845851/2458624000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 177147/3933798400000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 531441/983449600000000000 binary64) (.f64 eps eps)) #s(literal 531441/157351936000000000000 binary64))) (/.f64 #s(literal 5845851/2458624000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 24 binary64)))
(* 282429536481/24759631762948096000000000000000000000000 (pow eps 48))
(*.f64 (pow.f64 eps #s(literal 48 binary64)) #s(literal 282429536481/24759631762948096000000000000000000000000 binary64))
(* (pow eps 48) (- 282429536481/24759631762948096000000000000000000000000 (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 282429536481/24759631762948096000000000000000000000000 binary64) (/.f64 #s(literal 282429536481/77373849259212800000000000000000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 48 binary64)))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 94143178827/157905814814720000000000000000000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 282429536481/77373849259212800000000000000000000000 binary64) (.f64 eps eps)) #s(literal 282429536481/24759631762948096000000000000000000000000 binary64))) (pow.f64 eps #s(literal 48 binary64)))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (+ (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))) (* 1788720397713/27633517592576000000000000000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 94143178827/157905814814720000000000000000000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 282429536481/77373849259212800000000000000000000000 binary64) (.f64 eps eps)) #s(literal 282429536481/24759631762948096000000000000000000000000 binary64))) (/.f64 #s(literal 1788720397713/27633517592576000000000000000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 48 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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* 729/12544000000 (pow eps 8))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 729/156800000 binary64) (.f64 eps eps)) #s(literal 729/12544000000 binary64))) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 729/156800000 binary64) (.f64 eps eps)) #s(literal 729/12544000000 binary64))) (/.f64 #s(literal 243/56000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 8 binary64)))
(* 27/112000 (pow eps 2))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (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 (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 6 binary64)))
(* 282429536481/24759631762948096000000000000000000000000 (pow eps 48))
(*.f64 (pow.f64 eps #s(literal 48 binary64)) #s(literal 282429536481/24759631762948096000000000000000000000000 binary64))
(* (pow eps 48) (- 282429536481/24759631762948096000000000000000000000000 (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 282429536481/24759631762948096000000000000000000000000 binary64) (/.f64 #s(literal 282429536481/77373849259212800000000000000000000000 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 48 binary64)))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (/.f64 #s(literal 94143178827/157905814814720000000000000000000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 282429536481/77373849259212800000000000000000000000 binary64) (.f64 eps eps)) #s(literal 282429536481/24759631762948096000000000000000000000000 binary64))) (pow.f64 eps #s(literal 48 binary64)))
(* (pow eps 48) (- (+ 282429536481/24759631762948096000000000000000000000000 (/ 94143178827/157905814814720000000000000000000000 (pow eps 4))) (+ (* 282429536481/77373849259212800000000000000000000000 (/ 1 (pow eps 2))) (* 1788720397713/27633517592576000000000000000000000 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 94143178827/157905814814720000000000000000000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 282429536481/77373849259212800000000000000000000000 binary64) (.f64 eps eps)) #s(literal 282429536481/24759631762948096000000000000000000000000 binary64))) (/.f64 #s(literal 1788720397713/27633517592576000000000000000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 48 binary64)))

rewrite236.0ms (1.5%)

Memory

-17.1MiB live, 394.4MiB allocated

Rules

5 740×	`lower-fma.f32`
5 724×	`lower-fma.f64`
3 978×	`lower-/.f32`
3 972×	`lower-/.f64`
3 836×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	477
0	87	471
1	394	338
2	2645	338
0	9068	331

Stop Event

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

Counts

14 → 507

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64)))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64))
(/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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))))
(pow.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)) #s(literal 2 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -19683/44800000 binary64) (.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal -1/16 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 (pow.f64 eps #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal -1/16 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -19683/44800000 binary64) (.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 16 binary64)) #s(literal -1/256 binary64)) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -19683/44800000 binary64) (*.f64 eps eps) #s(literal 6561/2560000 binary64)) #s(literal 1/16 binary64)) #s(literal -1 binary64)))
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(.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #s(literal 4 binary64)))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #s(literal 4 binary64)))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal 8 binary64)))
(pow.f64 (exp.f64 #s(literal 8 binary64)) (fma.f64 (log.f64 eps) #s(literal 2 binary64) (log.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)))))
(pow.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64))
(exp.f64 (fma.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (log.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)))) #s(literal 2 binary64) (.f64 (fma.f64 (log.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))) #s(literal 2 binary64) (.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (fma.f64 (log.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))) #s(literal 2 binary64) (.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64) (fma.f64 (log.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))) #s(literal 2 binary64) (.f64 (log.f64 eps) #s(literal 4 binary64)))))
(exp.f64 (fma.f64 (log.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) #s(literal 8 binary64) (fma.f64 (log.f64 eps) #s(literal 4 binary64) (.f64 (log.f64 eps) #s(literal 4 binary64)))))
(exp.f64 (fma.f64 (log.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) #s(literal 8 binary64) (.f64 (log.f64 eps) #s(literal 8 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 eps) #s(literal 4 binary64) (.f64 (log.f64 eps) #s(literal 4 binary64))) (.f64 (log.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) #s(literal 8 binary64))))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 8 binary64) (.f64 (log.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) #s(literal 8 binary64))))
(exp.f64 (.f64 (fma.f64 (log.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))) #s(literal 2 binary64) (.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (fma.f64 (log.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))) #s(literal 4 binary64) (.f64 (log.f64 eps) #s(literal 8 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (log.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)))) #s(literal 8 binary64)))

eval456.0ms (2.8%)

Memory: -92.3MiB live, 400.3MiB allocated
Compiler: Compiled 63 681 to 3 478 computations (94.5% saved)

prune18.0ms (0.1%)

Memory

24.7MiB live, 64.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	840	2	842
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	842	6	848

Accuracy

100.0%

Counts

848 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) #s(literal -1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 #s(approx (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps) #s(literal -243/56000 binary64)) (.f64 eps eps) #s(literal 81/1600 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 479 to 161 computations (66.4% saved)

regimes42.0ms (0.3%)

Memory

-42.8MiB live, 10.3MiB allocated

Counts

10 → 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 (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 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 #s(approx (pow (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) 2) (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (.f64 eps eps) #s(literal -243/56000 binary64)) (.f64 eps eps) #s(literal 81/1600 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (* (- (pow (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) 4) 1/16) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -19683/44800000 binary64) #s(literal 6561/2560000 binary64)) (pow.f64 eps #s(literal 8 binary64)) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 8) 1/256) #s(literal -1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.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)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 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)))))

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:

39.0ms	eps
3.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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
99.7%	1	`eps`
99.7%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`eps`
99.1%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify24.0ms (0.1%)

Memory

-8.2MiB live, 29.3MiB 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))

soundness348.0ms (2.2%)

Memory

15.3MiB live, 203.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 72 to 39 computations (45.8% saved)

preprocess53.0ms (0.3%)

Memory: 4.4MiB live, 87.8MiB 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%)

analyze434.0ms (2.7%)

sample9.9s (61.1%)

explain545.0ms (3.4%)

preprocess46.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify72.0ms (0.4%)

localize191.0ms (1.2%)

series4.0ms (0%)

simplify200.0ms (1.2%)

rewrite165.0ms (1%)

eval44.0ms (0.3%)

prune20.0ms (0.1%)

simplify306.0ms (1.9%)

localize330.0ms (2%)

series12.0ms (0.1%)

simplify156.0ms (1%)

rewrite163.0ms (1%)

eval109.0ms (0.7%)

prune31.0ms (0.2%)

simplify210.0ms (1.3%)

localize531.0ms (3.3%)

series23.0ms (0.1%)

simplify183.0ms (1.1%)

rewrite225.0ms (1.4%)

eval135.0ms (0.8%)

prune8.0ms (0.1%)

simplify179.0ms (1.1%)

localize548.0ms (3.4%)

series24.0ms (0.2%)

simplify201.0ms (1.2%)

rewrite236.0ms (1.5%)

eval456.0ms (2.8%)

prune18.0ms (0.1%)

regimes42.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify24.0ms (0.1%)

soundness348.0ms (2.2%)

preprocess53.0ms (0.3%)

end0.0ms (0%)

Profiling

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

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