Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze352.0ms (1.9%)

Memory

18.8MiB live, 443.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample10.4s (56.4%)

Memory

117.0MiB live, 9 618.1MiB allocated

Samples

7.7s	4 507×	2	valid
1.5s	1 183×	3	valid
732.0ms	2 443×	1	valid
12.0ms	123×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.5s

ival-tan: 5.5s (58.3% of total)

ival-sin: 2.7s (28.9% of total)

adjust: 455.0ms (4.8% of total)

ival-sub: 295.0ms (3.1% of total)

const: 266.0ms (2.8% of total)

ival-div: 105.0ms (1.1% of total)

ival-<=: 79.0ms (0.8% of total)

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

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

Bogosity

explain756.0ms (4.1%)

Memory

2.6MiB live, 1 010.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
173	-	5	(-7.919328228931571e-105)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
88	-	1	(-0.24869873145123803)	`(-.f64 eps (sin.f64 eps))`
87	-	0	-	`(-.f64 eps (tan.f64 eps))`
0	-	0	-	`(tan.f64 eps)`
0	-	0	-	`eps`
0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	168	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	168
↳	`(-.f64 eps (tan.f64 eps))`	underflow	168
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	87	1
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	87	1

Confusion

	Predicted +	Predicted -
+	255	1
-	0	0

Precision

1.0

Recall

0.99609375

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	168
2	87

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

419.0ms	282×	2	valid
110.0ms	78×	3	valid
30.0ms	148×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 535.0ms

ival-tan: 328.0ms (61.3% of total)

ival-sin: 168.0ms (31.4% of total)

adjust: 17.0ms (3.2% of total)

ival-sub: 15.0ms (2.8% of total)

ival-div: 6.0ms (1.1% of total)

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

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

preprocess47.0ms (0.3%)

Memory

-12.9MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify22.0ms (0.1%)

Memory

-7.9MiB live, 30.4MiB 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)

localize325.0ms (1.8%)

Memory

-3.7MiB live, 372.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	19.518199967032647	(-.f64 eps (tan.f64 eps))
accuracy	19.528170708021367	(-.f64 eps (sin.f64 eps))
accuracy	42.21035939501975	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

225.0ms	141×	2	valid
73.0ms	39×	3	valid
16.0ms	74×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-tan: 130.0ms (43% of total)

ival-sin: 126.0ms (41.7% of total)

ival-div: 28.0ms (9.3% of total)

ival-sub: 10.0ms (3.3% of total)

adjust: 8.0ms (2.6% of total)

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

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

series5.0ms (0%)

Memory

12.6MiB live, 12.6MiB 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 (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1/6 (pow eps 2)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify188.0ms (1%)

Memory

-6.1MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

rewrite171.0ms (0.9%)

Memory

24.8MiB live, 244.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

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

eval50.0ms (0.3%)

Memory: 30.4MiB live, 105.5MiB allocated
Compiler: Compiled 12 477 to 1 219 computations (90.2% saved)

prune158.0ms (0.9%)

Memory

16.8MiB live, 280.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Accuracy

100.0%

Counts

463 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.8%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
▶	1.1%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
▶	2.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
▶	99.9%	#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)))
▶	99.8%	#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)))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 264 to 142 computations (46.2% saved)

simplify387.0ms (2.1%)

Memory

-127.9MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 eps)
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	7616	(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
cost-diff	14080	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Rules

6 836×	`lower-fma.f32`
6 824×	`lower-fma.f64`
2 572×	`lower-*.f32`
2 570×	`lower-*.f64`
2 078×	`unsub-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	37	255
0	64	243
1	118	241
2	215	237
3	541	233
4	1215	230
5	2579	230
6	4800	228
7	6827	228
0	8013	228

Stop Event

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

Calls

Call 1

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

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

localize503.0ms (2.7%)

Memory

30.5MiB live, 667.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	19.528170708021367	(-.f64 eps (sin.f64 eps))
accuracy	28.01433663507079	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
accuracy	42.21035939501975	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
accuracy	59.75050110648819	(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
accuracy	0.078125	(/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps))
accuracy	19.518199967032647	(-.f64 (tan.f64 eps) eps)
accuracy	19.528170708021367	(-.f64 (sin.f64 eps) eps)
accuracy	43.22101212532571	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
accuracy	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.11693637932589046	#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	0.3428187852550808	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.00390625	(fma.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	0.0078125	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0.07510366874317255	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Samples

324.0ms	141×	2	valid
73.0ms	39×	3	valid
48.0ms	74×	1	valid
3.0ms	2×	0	valid

Compiler

Compiled 237 to 39 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-tan: 194.0ms (47.9% of total)

ival-sin: 62.0ms (15.3% of total)

adjust: 42.0ms (10.4% of total)

ival-div: 24.0ms (5.9% of total)

ival-mult: 20.0ms (4.9% of total)

const: 19.0ms (4.7% of total)

ival-add: 17.0ms (4.2% of total)

ival-sub: 14.0ms (3.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory

-13.6MiB live, 23.5MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (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) eps))) (* -1 (/ (sin eps) (* eps (cos 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) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.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) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) (taylor inf eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.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 (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 -1/2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 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>) () ())) ())
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#s(alt (/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps) (taylor inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	-inf	(/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))))
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))))
1.0ms	eps	@	inf	(+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))
1.0ms	eps	@	-inf	(+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))
1.0ms	eps	@	-inf	(- (tan eps) eps)

simplify178.0ms (1%)

Memory

2.8MiB live, 187.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 162×	`lower-fma.f64`
10 162×	`lower-fma.f32`
5 004×	`lower-*.f64`
5 004×	`lower-*.f32`
3 578×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	452	3360
1	1370	3108
2	4419	3025
0	8660	2895

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) eps)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(/ 6 (pow eps 3))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.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
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (*.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.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))
(* 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) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* 27/112000 (pow eps 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) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
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))
(* 27/112000 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 27/112000 binary64))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 27/112000 binary64))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))))
-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))
(* 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)))))
(.f64 (.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(* 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)))))
(.f64 (.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) 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
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (*.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.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
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (*.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps) (/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) (cos.f64 eps)) eps)) eps)) eps))
(* -1/3 (pow eps 3))
(.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) eps) (.f64 eps eps))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* 1/6 (pow eps 3))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -1/6 (pow eps 3))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps)
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 eps (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 eps eps) #s(literal -1/5040 binary64)) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 eps eps))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) eps) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* eps (- (/ (sin eps) eps) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* eps (- (/ (sin eps) eps) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(/ 6 (pow eps 3))
(/.f64 #s(literal 6 binary64) (.f64 (.f64 eps eps) eps))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 #s(literal 3/10 binary64) (.f64 eps eps) #s(literal 6 binary64)) (.f64 (*.f64 eps eps) eps))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 11/1400 binary64) (.f64 eps eps) #s(literal 3/10 binary64)) (.f64 eps eps) #s(literal 6 binary64)) (.f64 (.f64 eps eps) eps))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/126000 binary64) (.f64 eps eps) #s(literal 11/1400 binary64)) (.f64 eps eps) #s(literal 3/10 binary64)) (.f64 eps eps) #s(literal 6 binary64)) (.f64 (*.f64 eps eps) eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps) #s(literal 1 binary64)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps)) #s(literal 1 binary64)) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) (sin.f64 eps)) eps) #s(literal 1 binary64)) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 41/360 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 149/3024 binary64) (.f64 eps eps) #s(literal 41/360 binary64)) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 5 binary64)) eps) (.f64 eps eps))))) eps)
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 eps (.f64 (pow.f64 (cos.f64 eps) #s(literal 5 binary64)) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps))))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)

rewrite262.0ms (1.4%)

Memory

4.3MiB live, 285.2MiB allocated

Rules

5 900×	`lower-/.f32`
5 888×	`lower-/.f64`
4 554×	`lower-*.f32`
4 552×	`lower-*.f64`
3 162×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	206
0	64	202
1	286	171
2	2282	171
0	8904	171

Stop Event

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

Counts

20 → 945

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
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(+.f64 (neg.f64 (sin.f64 eps)) eps)
(+.f64 eps (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)))
(.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(pow.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (*.f64 eps eps) eps))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)))) (neg.f64 (neg.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (.f64 (.f64 eps eps) eps))) (.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 (sin.f64 eps) eps)) (.f64 (+.f64 (sin.f64 eps) eps) (.f64 eps eps))) (*.f64 (+.f64 (sin.f64 eps) eps) (+.f64 (sin.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))) (neg.f64 (-.f64 (sin.f64 eps) (neg.f64 eps))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))) (neg.f64 (+.f64 (sin.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps))) (neg.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (-.f64 (sin.f64 eps) (neg.f64 eps)))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (+.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (*.f64 eps eps) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (*.f64 eps eps) eps)))))
(fma.f64 #s(literal -1 binary64) eps (sin.f64 eps))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (sin.f64 eps) (neg.f64 eps))) (/.f64 (.f64 eps eps) (-.f64 (sin.f64 eps) (neg.f64 eps))))
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 (sin.f64 eps) eps)) (/.f64 (.f64 eps eps) (+.f64 (sin.f64 eps) eps)))
(-.f64 (sin.f64 eps) eps)
(+.f64 (neg.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (neg.f64 eps))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (+.f64 (sin.f64 eps) eps))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps))) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)))
(pow.f64 (neg.f64 (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 (sin.f64 eps) eps)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (sin.f64 eps) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 (sin.f64 eps) eps))))
(/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 (sin.f64 eps) eps))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (tan.f64 eps)) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (tan.f64 eps) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))) (/.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (tan.f64 eps) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)))) (/.f64 (tan.f64 eps) (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 (/.f64 (tan.f64 eps) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(.f64 (/.f64 (tan.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (/.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))))
(*.f64 (/.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (tan.f64 eps) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))))
(.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (-.f64 (tan.f64 eps) eps))
(.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (tan.f64 eps) #s(literal -1 binary64)) (/.f64 (neg.f64 (tan.f64 eps)) (+.f64 (tan.f64 eps) eps)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(*.f64 (tan.f64 eps) (/.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps)))
(.f64 (tan.f64 eps) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(pow.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps)))))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (tan.f64 eps) eps))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(exp.f64 (fma.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64) (*.f64 (log.f64 (+.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (tan.f64 eps) eps)) #s(literal -1 binary64) (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval214.0ms (1.2%)

Memory: 37.3MiB live, 324.2MiB allocated
Compiler: Compiled 42 678 to 3 911 computations (90.8% saved)

prune252.0ms (1.4%)

Memory

4.1MiB live, 459.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 386	4	1 390
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	1 389	10	1 399

Accuracy

100.0%

Counts

1 399 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.1%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
▶	0.8%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
▶	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps)))
▶	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))))
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
▶	99.8%	#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.9%	#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)))
✓	99.8%	#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)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 318 to 167 computations (47.5% saved)

simplify205.0ms (1.1%)

Memory

-27.5MiB live, 330.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps)))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
cost-diff	1088	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
cost-diff	6144	(fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	6912	(fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
cost-diff	13376	(/.f64 (fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
cost-diff	14080	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff	1024	(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps)))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))

Rules

13 628×	`lower-fma.f32`
13 612×	`lower-fma.f64`
3 950×	`lower-+.f32`
3 948×	`lower-+.f64`
3 802×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	562
0	105	562
1	186	534
2	392	527
3	1188	511
4	3775	482
0	8509	482

Stop Event

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

Calls

Call 1

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

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

localize896.0ms (4.8%)

Memory

15.2MiB live, 1 050.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	19.51819996703265	(-.f64 eps (tan.f64 eps))
accuracy	19.528170708021378	(-.f64 eps (sin.f64 eps))
accuracy	42.21035939501975	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps)))
accuracy	61.9450801437379	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
accuracy	17.94917764999219	(fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
accuracy	19.528170708021378	(-.f64 eps (sin.f64 eps))
accuracy	37.40624400056458	(/.f64 (fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
accuracy	42.21035939501975	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))))
accuracy	0.078125	(/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)))
accuracy	19.518199967032647	(-.f64 (tan.f64 eps) eps)
accuracy	31.096114607013693	(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
accuracy	43.22101212532571	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
accuracy	0.12109375	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
accuracy	0.296875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy	19.51819996703265	(-.f64 eps (tan.f64 eps))
accuracy	42.21035939501975	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
accuracy	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.15340363049882294	#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))

Samples

499.0ms	141×	2	valid
206.0ms	39×	3	valid
76.0ms	74×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 511 to 59 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-tan: 317.0ms (44.6% of total)

ival-div: 96.0ms (13.5% of total)

ival-sin: 64.0ms (9% of total)

ival-add: 50.0ms (7% of total)

adjust: 45.0ms (6.3% of total)

ival-mult: 44.0ms (6.2% of total)

ival-pow2: 31.0ms (4.4% of total)

ival-sub: 25.0ms (3.5% of total)

const: 24.0ms (3.4% of total)

ival-pow: 11.0ms (1.5% of total)

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

exact: 1.0ms (0.1% of total)

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

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

series42.0ms (0.2%)

Memory

26.0MiB live, 64.3MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) 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 (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) 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 (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) 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 (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf eps) (#s(alt #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) (taylor inf eps) (#s(alt #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3)) (taylor 0 eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3)) (taylor 0 eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (/ 1 eps) (taylor inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (sin eps) eps)) eps) (taylor inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps) (taylor inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps) (taylor inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (/ 1 eps) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps)) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps)) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps)) (taylor -inf eps) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	inf	(+ (* (/ -1 (+ (* (* eps eps) eps) (pow (tan eps) 3))) (/ (pow (tan eps) 2) (/ 1 (+ (* eps (- eps (tan eps))) (pow (tan eps) 2))))) (* (/ eps (+ (tan eps) eps)) eps))
3.0ms	eps	@	inf	(/ (- eps (sin eps)) (/ (+ (* (* eps eps) (+ (tan eps) eps)) (* (+ (tan eps) eps) (neg (pow (tan eps) 2)))) (pow (+ (tan eps) eps) 2)))
2.0ms	eps	@	-inf	(/ (- eps (sin eps)) (/ (+ (* (* eps eps) (+ (tan eps) eps)) (* (+ (tan eps) eps) (neg (pow (tan eps) 2)))) (pow (+ (tan eps) eps) 2)))
2.0ms	eps	@	0	(* (- (/ (sin eps) eps) 1) eps)
2.0ms	eps	@	-inf	(+ (* (/ -1 (+ (* (* eps eps) eps) (pow (tan eps) 3))) (/ (pow (tan eps) 2) (/ 1 (+ (* eps (- eps (tan eps))) (pow (tan eps) 2))))) (* (/ eps (+ (tan eps) eps)) eps))

simplify236.0ms (1.3%)

Memory

-3.5MiB live, 227.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 022×	`lower-fma.f64`
7 022×	`lower-fma.f32`
5 204×	`lower-*.f64`
5 204×	`lower-*.f32`
3 536×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	610	4800
1	1918	4403
2	6808	4319
0	8147	4171

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 254

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* 2 (/ (sin eps) (* eps (cos eps)))))) (/ (sin eps) (* eps (cos eps))))
(- (+ 1 (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps))))))
(- (+ 1 (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (* (sin eps) (- (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (cos eps))))) (* (pow eps 3) (cos eps))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))))))))
1
(- (+ 1 (* -1 (/ (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))) eps))) (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -4/3 (pow eps 5))
(* (pow eps 5) (- (* -44/45 (pow eps 2)) 4/3))
(* (pow eps 5) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))))
(pow eps 3)
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 1/3 (pow eps 2))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 1/3 (* 11/45 (pow eps 2))))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 11/45 (* 1/7 (pow eps 2))))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))))
(pow eps 4)
(* (pow eps 4) (+ 1 (pow eps 2)))
(* (pow eps 4) (+ 1 (* (pow eps 2) (+ 1 (* 38/45 (pow eps 2))))))
(* (pow eps 4) (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 38/45 (* 22/35 (pow eps 2))))))))
(/ (* (pow eps 2) (pow (sin eps) 2)) (pow (cos eps) 2))
(* (pow eps 2) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* (pow eps 2) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))))))
(* (pow eps 2) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4))))))
(/ (* (pow eps 2) (pow (sin eps) 2)) (pow (cos eps) 2))
(* (pow eps 2) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
-1
(- (/ (sin eps) eps) 1)
(- (/ (sin eps) eps) 1)
(- (/ (sin eps) eps) 1)
-1
(- (/ (sin eps) eps) 1)
(- (/ (sin eps) eps) 1)
(- (/ (sin eps) eps) 1)
(/ 6 (pow eps 3))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(-.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 (/.f64 (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) eps) eps)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps)) (/.f64 (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.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))
(* 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)))))
(.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) 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)))))
(.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(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
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) eps) eps)) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(-.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 (/.f64 (.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) eps) eps)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
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eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 eps eps) #s(literal -1/5040 binary64)) (.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) eps) eps)
-1
#s(literal -1 binary64)
(- (/ (sin eps) eps) 1)
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(- (/ (sin eps) eps) 1)
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(- (/ (sin eps) eps) 1)
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ (sin eps) eps) 1)
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(- (/ (sin eps) eps) 1)
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(- (/ (sin eps) eps) 1)
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(/ 6 (pow eps 3))
(/.f64 #s(literal 6 binary64) (.f64 (.f64 eps eps) eps))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 #s(literal 3/10 binary64) (.f64 eps eps) #s(literal 6 binary64)) (.f64 (*.f64 eps eps) eps))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 11/1400 binary64) (.f64 eps eps) #s(literal 3/10 binary64)) (.f64 eps eps) #s(literal 6 binary64)) (.f64 (.f64 eps eps) eps))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/126000 binary64) (.f64 eps eps) #s(literal 11/1400 binary64)) (.f64 eps eps) #s(literal 3/10 binary64)) (.f64 eps eps) #s(literal 6 binary64)) (.f64 (*.f64 eps eps) eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps) #s(literal 1 binary64)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps))) eps)) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps)) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps)) eps)) (neg.f64 eps))

rewrite202.0ms (1.1%)

Memory

-5.0MiB live, 316.3MiB allocated

Rules

4 140×	`lower-/.f32`
4 118×	`lower-/.f64`
3 834×	`lower-*.f32`
3 822×	`lower-*.f64`
3 368×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	376
0	105	346
1	452	311
2	3688	311
0	8764	307

Stop Event

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

Counts

22 → 731

Calls

Call 1

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

Outputs
#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))) (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #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 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))) (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))) (fma.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64)))))
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64))
(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 eps (*.f64 #s(literal 9/40 binary64) eps) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (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 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (fma.f64 eps eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)))
(.f64 (neg.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (-.f64 eps (tan.f64 eps))))
(.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)))))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #s(literal 1 binary64)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 eps) #s(literal -1 binary64))
(fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64))
(fma.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (sin.f64 eps) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 eps (sin.f64 eps))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)))))
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(+.f64 (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
(pow.f64 (neg.f64 #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)))
(neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
(exp.f64 (.f64 (log.f64 (neg.f64 #s(approx (- (sin eps) eps) (.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)))) #s(literal -1 binary64)))

eval223.0ms (1.2%)

Memory: -15.1MiB live, 312.8MiB allocated
Compiler: Compiled 43 967 to 2 989 computations (93.2% saved)

prune169.0ms (0.9%)

Memory

28.5MiB live, 306.7MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 172	3	1 175
Fresh	0	0	0
Picked	4	1	5
Done	1	4	5
Total	1 177	8	1 185

Accuracy

100.0%

Counts

1 185 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.8%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) eps))))
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps)))
▶	0.8%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
✓	99.8%	#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.9%	#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)))
✓	99.8%	#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)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 137 to 76 computations (44.5% saved)

simplify231.0ms (1.2%)

Memory

-48.1MiB live, 221.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) eps))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps)))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
cost-diff	0	#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)

Rules

9 160×	`lower-fma.f32`
9 154×	`lower-fma.f64`
3 408×	`lower-*.f32`
3 396×	`lower-*.f64`
2 638×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	464
0	77	464
1	141	456
2	278	454
3	699	452
4	2186	440
5	7143	440
0	8249	432

Stop Event

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

Calls

Call 1

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

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

localize850.0ms (4.6%)

Memory

-1.1MiB live, 671.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	28.347978122946564	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps))
accuracy	31.11269853521225	(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	31.133750435100758	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))
accuracy	43.22101212532571	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) eps))))
accuracy	0.07421875	(.f64 (.f64 eps eps) eps)
accuracy	0.12728500976844204	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))
accuracy	19.51819996703265	(-.f64 eps (tan.f64 eps))
accuracy	42.21035939501975	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps)))
accuracy	0.0625	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
accuracy	19.51819996703265	(-.f64 eps (tan.f64 eps))
accuracy	31.096114607013693	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
accuracy	42.21035939501975	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))

Samples

402.0ms	143×	2	valid
195.0ms	36×	3	valid
80.0ms	74×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 318 to 44 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 580.0ms

ival-tan: 120.0ms (20.7% of total)

ival-pow: 94.0ms (16.2% of total)

adjust: 73.0ms (12.6% of total)

ival-sin: 69.0ms (11.9% of total)

ival-mult: 64.0ms (11% of total)

ival-div: 41.0ms (7.1% of total)

ival-cos: 41.0ms (7.1% of total)

ival-sub: 34.0ms (5.9% of total)

const: 29.0ms (5% of total)

ival-add: 14.0ms (2.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series18.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
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#s(alt (pow eps 3) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (.f64 (.f64 eps eps) eps) (patch (.f64 (.f64 eps eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow eps 2)) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2)) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2)) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (sin eps) 3) (pow eps 3)) 1) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (sin eps) 3) (pow eps 3)) 1) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (sin eps) 3) (pow eps 3)) 1) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (sin eps) 3) (pow eps 3)) 1) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (sin eps) 3) (pow eps 3)) 1) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (sin eps) 3) (pow eps 3)) 1) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/3 (pow eps 2))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2)) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2)) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2)) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2)) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(- 1/2 (* 1/2 (cos (+ eps eps))))
0.0ms	eps	@	-inf	(- (pow (/ (sin eps) eps) 3) 1)
0.0ms	eps	@	0	(- 1/2 (* 1/2 (cos (+ eps eps))))
0.0ms	eps	@	inf	(- (pow (/ (sin eps) eps) 3) 1)
0.0ms	eps	@	0	(- (pow (/ (sin eps) eps) 3) 1)

simplify190.0ms (1%)

Memory

-23.5MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 940×	`lower-fma.f64`
8 940×	`lower-fma.f32`
4 746×	`lower-*.f64`
4 746×	`lower-*.f32`
3 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	2409
1	873	2312
2	2754	2210
3	7567	2206
0	8194	2089

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 184

Calls

Call 1

Inputs
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
1/6
(+ 1/6 (* -1/120 (pow eps 2)))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1/3 (pow eps 2))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 eps))))
(- 1/2 (* 1/2 (cos (* 2 eps))))
(- 1/2 (* 1/2 (cos (* 2 eps))))
(- 1/2 (* 1/2 (cos (* 2 eps))))
(- 1/2 (* 1/2 (cos (neg (* -2 eps)))))
(- 1/2 (* 1/2 (cos (neg (* -2 eps)))))
(- 1/2 (* 1/2 (cos (neg (* -2 eps)))))
(- 1/2 (* 1/2 (cos (neg (* -2 eps)))))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2))
-1
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
-1
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
1
(+ 1 (* -1/3 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3)))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))

Outputs
(* 1/6 (pow eps 3))
(.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(+ 1 (* -1 (/ (sin eps) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
-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
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* 1/6 (pow eps 3))
(.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
(* -1/362880 (pow eps 9))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -1/362880 binary64))
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(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -41/3024 binary64) (.f64 eps eps) #s(literal 13/120 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 671/604800 binary64) (.f64 eps eps) #s(literal -41/3024 binary64)) (.f64 eps eps) #s(literal 13/120 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps)
-1
#s(literal -1 binary64)
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))
(- (/ (pow (sin eps) 3) (pow eps 3)) 1)
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow eps 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3)))
(fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 eps eps) #s(literal 2/45 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))
(/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 eps))))) (pow eps 2))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))

rewrite211.0ms (1.1%)

Memory

25.3MiB live, 263.8MiB allocated

Rules

5 692×	`lower-/.f32`
5 676×	`lower-/.f64`
3 830×	`lower-fma.f32`
3 824×	`lower-fma.f64`
3 626×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	233
0	77	225
1	336	207
2	2899	207
0	8670	206

Stop Event

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

Counts

16 → 529

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 4 binary64)))) (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) eps)) eps)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(*.f64 (/.f64 eps (-.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) eps)) eps)))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(.f64 (/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(.f64 (/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))) (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))))) (/.f64 eps (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))) (/.f64 eps (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))) (/.f64 eps (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))) (neg.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) eps)) (neg.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) eps) (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) eps))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) eps))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)))
(.f64 (neg.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))))
(pow.f64 (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (- eps (sin eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) #s(literal 1 binary64))) (neg.f64 (-.f64 eps (tan.f64 eps))))
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(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))) (neg.f64 (.f64 (neg.f64 eps) eps)))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 eps) (/.f64 eps (sin.f64 eps)))))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))) (neg.f64 (.f64 (neg.f64 eps) eps)))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64))) (neg.f64 (.f64 eps (/.f64 eps (sin.f64 eps)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 eps)))) (neg.f64 (.f64 (/.f64 eps (sin.f64 eps)) (neg.f64 eps))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps))) (neg.f64 (.f64 (/.f64 eps (sin.f64 eps)) eps)))
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(/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 (neg.f64 eps) eps))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 eps) eps)) (neg.f64 eps))
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(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (fma.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 (sin.f64 eps))) (neg.f64 eps))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) eps)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (pow.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) (pow.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) eps)) (neg.f64 eps))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 eps) eps)))
(/.f64 (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)) (.f64 (neg.f64 eps) eps))
(/.f64 (.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)) (.f64 (neg.f64 eps) (/.f64 eps (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (.f64 (neg.f64 eps) eps))
(/.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 eps (/.f64 eps (sin.f64 eps))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 eps))) (.f64 (/.f64 eps (sin.f64 eps)) (neg.f64 eps)))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 eps)) (.f64 (/.f64 eps (sin.f64 eps)) eps))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 eps eps))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 eps eps)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 eps eps)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 (.f64 eps eps) (.f64 eps eps)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps)
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))) #s(literal 1/4 binary64))) (.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) (neg.f64 (/.f64 eps (sin.f64 eps))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 eps) eps))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (sin.f64 eps) eps) (/.f64 eps (sin.f64 eps)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 eps eps)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 eps) eps)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (neg.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (/.f64 (pow.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))))) (/.f64 (pow.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))) #s(literal 1/4 binary64)) (.f64 (*.f64 eps eps) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) (fma.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 eps eps) (fma.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 eps eps)) (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps eps))))) (+.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 eps eps)))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 eps eps)) (/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps eps)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 eps eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 eps) eps)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (neg.f64 eps) eps)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (neg.f64 (.f64 (cos.f64 (+.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 2 binary64)))

eval168.0ms (0.9%)

Memory: -4.9MiB live, 224.3MiB allocated
Compiler: Compiled 29 572 to 2 826 computations (90.4% saved)

prune102.0ms (0.6%)

Memory

7.7MiB live, 286.6MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	745	3	748
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	746	10	756

Accuracy

100.0%

Counts

756 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.8%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (/.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)))) eps))))
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.0%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) eps) eps) (.f64 (.f64 eps eps) eps) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps)))) (-.f64 eps (tan.f64 eps)))
	0.8%	(/.f64 #s(approx (- eps (sin eps)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) eps) (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	1.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps)))
✓	0.8%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
✓	99.8%	#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.9%	#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)))
✓	99.8%	#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)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 613 to 214 computations (65.1% saved)

regimes13.0ms (0.1%)

Memory

-3.9MiB live, 34.9MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) 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 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) eps) eps) (.f64 (.f64 eps eps) eps) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) eps)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
(/.f64 #s(approx (- eps (sin eps)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) eps) (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) eps))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (/.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (.f64 eps eps)))) eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps)))

Outputs

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

Calls

2 calls:

7.0ms	eps
5.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) 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
2.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory

10.7MiB live, 10.7MiB 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 (/ (/ -1 (- (tan eps) eps)) (/ -1 (- (sin eps) eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory

-31.1MiB live, 8.2MiB 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:

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

Results

Accuracy	Segments	Branch
99.5%	1	`eps`
99.5%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0%)

Memory

16.1MiB live, 16.1MiB 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))

soundness340.0ms (1.8%)

Memory

-12.6MiB live, 236.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 35 computations (54.5% saved)

preprocess62.0ms (0.3%)

Memory: -1.4MiB live, 185.9MiB allocated
Remove: (abs eps)
Compiler: Compiled 226 to 110 computations (51.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze352.0ms (1.9%)

sample10.4s (56.4%)

explain756.0ms (4.1%)

preprocess47.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.1%)

localize325.0ms (1.8%)

series5.0ms (0%)

simplify188.0ms (1%)

rewrite171.0ms (0.9%)

eval50.0ms (0.3%)

prune158.0ms (0.9%)

simplify387.0ms (2.1%)

localize503.0ms (2.7%)

series32.0ms (0.2%)

simplify178.0ms (1%)

rewrite262.0ms (1.4%)

eval214.0ms (1.2%)

prune252.0ms (1.4%)

simplify205.0ms (1.1%)

localize896.0ms (4.8%)

series42.0ms (0.2%)

simplify236.0ms (1.3%)

rewrite202.0ms (1.1%)

eval223.0ms (1.2%)

prune169.0ms (0.9%)

simplify231.0ms (1.2%)

localize850.0ms (4.6%)

series18.0ms (0.1%)

simplify190.0ms (1%)

rewrite211.0ms (1.1%)

eval168.0ms (0.9%)

prune102.0ms (0.6%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify5.0ms (0%)

soundness340.0ms (1.8%)

preprocess62.0ms (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