Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze441.0ms (2.4%)

Memory

-8.4MiB live, 446.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample10.0s (54.4%)

Memory

137.9MiB live, 10 361.3MiB allocated

Samples

7.2s	4 506×	2	valid
1.5s	1 200×	3	valid
755.0ms	2 421×	1	valid
12.0ms	129×	0	valid

Precisions

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

ival-tan: 5.1s (56.2% of total)

ival-sin: 2.8s (30.5% of total)

adjust: 395.0ms (4.4% of total)

ival-sub: 342.0ms (3.8% of total)

const: 268.0ms (3% of total)

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

ival-<=: 52.0ms (0.6% of total)

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

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

Bogosity

explain596.0ms (3.3%)

Memory

-14.4MiB live, 972.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
165	-	2	(-1.8274269833668378e-105)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
93	-	0	-	`(-.f64 eps (sin.f64 eps))`
92	-	1	(0.19587263702008376)	`(-.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	163	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	163
↳	`(-.f64 eps (tan.f64 eps))`	underflow	163
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	93	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	91	2

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	165
2	91

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

405.0ms	276×	2	valid
95.0ms	76×	3	valid
32.0ms	150×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 493.0ms

ival-tan: 287.0ms (58.2% of total)

ival-sin: 166.0ms (33.7% of total)

adjust: 17.0ms (3.4% of total)

ival-sub: 15.0ms (3% of total)

ival-div: 7.0ms (1.4% of total)

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

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

preprocess49.0ms (0.3%)

Memory

15.1MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify25.0ms (0.1%)

Memory

-6.4MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize319.0ms (1.7%)

Memory

9.6MiB live, 391.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	20.27248483117872	(-.f64 eps (sin.f64 eps))
accuracy	40.756919126625526	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

232.0ms	138×	2	valid
27.0ms	38×	3	valid
16.0ms	75×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-tan: 177.0ms (68% of total)

ival-sin: 62.0ms (23.8% of total)

adjust: 8.0ms (3.1% of total)

ival-sub: 8.0ms (3.1% of total)

ival-div: 4.0ms (1.5% of total)

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

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

series4.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

simplify163.0ms (0.9%)

Memory

8.2MiB live, 197.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

rewrite459.0ms (2.5%)

Memory

-79.9MiB live, 215.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))
(.f64 (pow.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
(.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)))
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eval51.0ms (0.3%)

Memory: 18.9MiB live, 130.2MiB allocated
Compiler: Compiled 11 528 to 1 222 computations (89.4% saved)

prune28.0ms (0.2%)

Memory

-43.2MiB live, 84.1MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	446	16	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	446	17	463

Accuracy

99.9%

Counts

463 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.5%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
▶	1.9%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))))
▶	2.4%	(fma.f64 (sin.f64 eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
	2.0%	(/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)))
	1.8%	(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (sin.f64 eps) eps))
	1.8%	(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))
✓	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
	2.0%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps)))
	2.3%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
	1.8%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
	1.8%	(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
▶	99.7%	#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)))
	99.5%	#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)))
	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 509 to 310 computations (39.1% saved)

simplify441.0ms (2.4%)

Memory

11.0MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))
cost-diff	6208	(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))
cost-diff	13248	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))))
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))
cost-diff	0	(sin.f64 eps)
cost-diff	13248	(fma.f64 (sin.f64 eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
cost-diff	0	#s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Rules

6 410×	`lower-fma.f32`
6 394×	`lower-fma.f64`
3 136×	`lower-*.f32`
3 130×	`lower-*.f64`
2 014×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	293
0	69	290
1	117	290
2	224	286
3	559	275
4	1892	275
5	3102	275
6	3942	275
7	7424	275
0	8158	275

Stop Event

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

Calls

Call 1

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

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

localize688.0ms (3.8%)

Memory

-8.9MiB live, 797.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))
accuracy	9.086474537537075	(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	61.54047907777675	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))))
accuracy	8.46283054806287	(/.f64 eps (-.f64 eps (tan.f64 eps)))
accuracy	20.245958744931997	(-.f64 (tan.f64 eps) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	61.870979451949836	(fma.f64 (sin.f64 eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
accuracy	0.11978815118804051	#s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
accuracy	0.14453125	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	40.756919126625526	(/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps)))
accuracy	0.8667731055974501	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.0078125	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0.18172633739457217	#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

464.0ms	142×	2	valid
161.0ms	110×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 251 to 43 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 586.0ms

ival-tan: 182.0ms (31.1% of total)

ival-sin: 94.0ms (16% of total)

ival-mult: 85.0ms (14.5% of total)

adjust: 67.0ms (11.4% of total)

const: 47.0ms (8% of total)

ival-sub: 36.0ms (6.1% of total)

ival-pow: 30.0ms (5.1% of total)

ival-add: 25.0ms (4.3% of total)

ival-div: 17.0ms (2.9% of total)

ival-neg: 3.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.1%)

Memory

9.6MiB live, 48.4MiB allocated

Counts

19 → 228

Calls

Call 1

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

Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 9/40 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* -27/2800 (pow eps 2))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt -27/2800 (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27/112000 (pow eps 2)) 27/2800) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27/112000 (pow eps 2)) 27/2800) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27/112000 (pow eps 2)) 27/2800) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (- eps (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) (taylor -inf eps) (#s(alt (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt (fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))) (patch (fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))) (patch (fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))) (patch (fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (sin eps) eps)) (taylor -inf eps) (#s(alt (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) (patch (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) (taylor -inf eps) (#s(alt (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) (patch (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) (taylor -inf eps) (#s(alt (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) (patch (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) (taylor -inf eps) (#s(alt (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) (patch (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (/ 1 eps) (taylor -inf eps) (#s(alt (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)) (taylor -inf eps) (#s(alt (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps)) (taylor -inf eps) (#s(alt (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf eps) (#s(alt (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 eps (tan.f64 eps))) (patch (/.f64 eps (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (sin eps) (* eps (cos eps)))) (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 eps (tan.f64 eps))) (patch (/.f64 eps (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 eps (tan.f64 eps))) (patch (/.f64 eps (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 eps (-.f64 eps (tan.f64 eps))) (patch (/.f64 eps (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

eps

inf

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

3.0ms

eps

-inf

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

3.0ms

eps

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

simplify163.0ms (0.9%)

Memory

10.6MiB live, 282.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 586×	`lower-fma.f64`
10 586×	`lower-fma.f32`
5 016×	`lower-*.f64`
5 016×	`lower-*.f32`
3 874×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	430	3386
1	1255	3218
2	4042	3076
0	8264	2956

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
1/6
(+ 1/6 (* -1/120 (pow eps 2)))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
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))))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(* 1/3 (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))))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -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))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(/ -3 (pow eps 2))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))))) eps)
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 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
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (/ (sin eps) eps))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
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 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/120 (pow eps 2)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(/ 3 (pow eps 3))
(/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
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#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(* -1 (/ (sin eps) eps))
(/.f64 (sin.f64 eps) (neg.f64 eps))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)) eps)
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps) (sin.f64 eps)) (neg.f64 eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (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) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.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
#s(literal 1 binary64)
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (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) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64))

rewrite249.0ms (1.4%)

Memory

20.8MiB live, 491.8MiB allocated

Rules

5 530×	`lower-fma.f32`
5 514×	`lower-fma.f64`
4 666×	`lower-/.f32`
4 662×	`lower-/.f64`
4 570×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	235
0	69	228
1	296	223
2	2132	223
0	9226	223

Stop Event

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

Counts

19 → 639

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (.f64 eps #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (.f64 eps #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps))) (.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (exp.f64 (log.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (neg.f64 (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (neg.f64 (tan.f64 eps)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 eps (neg.f64 (tan.f64 eps)))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps))))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 eps (neg.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(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 (pow.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 eps (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 eps (pow.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) #s(literal -1 binary64))))
(.f64 (/.f64 eps (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
(.f64 (/.f64 eps (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(.f64 (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) #s(literal -1 binary64))))
(.f64 (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps)))
(.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1/2 binary64)) eps))
(*.f64 (neg.f64 eps) (pow.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps)
(*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) eps)) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (*.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (*.f64 #s(literal 1 binary64) eps) (-.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 eps #s(literal 1 binary64)) (-.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 eps) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps)))
(/.f64 eps (-.f64 eps (tan.f64 eps)))
(neg.f64 (/.f64 (neg.f64 eps) (-.f64 eps (tan.f64 eps))))
(neg.f64 (/.f64 eps (neg.f64 (-.f64 eps (tan.f64 eps)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 eps (neg.f64 (-.f64 eps (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps)) #s(literal -1 binary64)))

eval147.0ms (0.8%)

Memory: -8.9MiB live, 466.5MiB allocated
Compiler: Compiled 31 146 to 2 945 computations (90.5% saved)

prune32.0ms (0.2%)

Memory

26.2MiB live, 145.4MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 113	7	1 120
Fresh	5	6	11
Picked	3	2	5
Done	0	1	1
Total	1 121	16	1 137

Accuracy

99.9%

Counts

1 137 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.5%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
	1.9%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (neg.f64 (sin.f64 eps))))
	2.3%	(fma.f64 (sin.f64 eps) (pow.f64 (exp.f64 (log.f64 (-.f64 (tan.f64 eps) eps))) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
▶	2.4%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
✓	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.8%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps)))
	2.3%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
▶	1.8%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
	1.8%	(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
✓	99.7%	#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)))
▶	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 494 to 295 computations (40.3% saved)

simplify170.0ms (0.9%)

Memory

-8.1MiB live, 227.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	6784	(fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))
cost-diff	12992	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 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	0	(sin.f64 eps)
cost-diff	7488	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 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)
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))

Rules

8 568×	`lower-fma.f32`
8 558×	`lower-fma.f64`
2 678×	`lower-*.f32`
2 670×	`lower-*.f64`
1 532×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	266
0	62	261
1	99	259
2	161	259
3	358	249
4	869	237
5	1813	233
6	3294	233
7	5660	233
8	7131	233
9	7507	233
10	7591	233
11	7641	233
12	7651	233
0	8015	229

Stop Event

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

Calls

Call 1

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

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

localize888.0ms (4.9%)

Memory

-29.1MiB live, 1 104.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	12.134083046084776	(fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))
accuracy	20.245958744931997	(-.f64 (tan.f64 eps) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	53.917714245494615	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
accuracy	8.46283054806287	(/.f64 eps (-.f64 eps (tan.f64 eps)))
accuracy	20.245958744931997	(-.f64 (tan.f64 eps) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	61.870979451949836	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
accuracy	0.08203125	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	29.612375751956538	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
accuracy	40.756919126625526	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
accuracy	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.5116543675184485	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy	0	(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.18172633739457217	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.7344823572386214	#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64))

Samples

566.0ms	93×	3	valid
229.0ms	95×	2	valid
44.0ms	64×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 224 to 36 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 753.0ms

ival-tan: 321.0ms (42.6% of total)

ival-sin: 178.0ms (23.6% of total)

adjust: 111.0ms (14.7% of total)

ival-mult: 35.0ms (4.6% of total)

ival-pow: 32.0ms (4.3% of total)

const: 20.0ms (2.7% of total)

ival-add: 20.0ms (2.7% of total)

ival-div: 19.0ms (2.5% of total)

ival-sub: 16.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.3%)

Memory

-4.1MiB live, 32.2MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

5.0ms

eps

inf

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

4.0ms

eps

-inf

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

2.0ms

eps

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

simplify251.0ms (1.4%)

Memory

16.1MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 336×	`lower-fma.f64`
13 336×	`lower-fma.f32`
5 440×	`lower-*.f64`
5 440×	`lower-*.f32`
5 230×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	3415
1	1291	3207
2	4198	3132
0	9116	3001

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 232

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
-1/2
(- (* 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)
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))))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(* 1/3 (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))))))))
-1/2
(- (* 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)
0
(* -1/18 (pow eps 6))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ -3 (pow eps 2))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (/ (sin eps) (* eps (cos eps)))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 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
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps)))) eps))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
-1/2
#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))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(/ 3 (pow eps 3))
(/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/175 binary64) (.f64 eps eps) #s(literal -6/5 binary64)) (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7875 binary64) (.f64 eps eps) #s(literal -1/175 binary64)) (.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/3 (pow eps 3))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/2835 binary64) (.f64 eps eps) #s(literal 17/315 binary64)) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
-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))
0
#s(literal 0 binary64)
(* -1/18 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/18 binary64))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(.f64 (fma.f64 #s(literal -7/360 binary64) (.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(.f64 (fma.f64 (fma.f64 #s(literal -601/75600 binary64) (.f64 eps eps) #s(literal -7/360 binary64)) (*.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(/ -3 (pow eps 2))
(/.f64 #s(literal -3 binary64) (*.f64 eps eps))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))
(-.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 3 binary64) (*.f64 eps eps)))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))
(fma.f64 (fma.f64 #s(literal 1/175 binary64) (.f64 eps eps) #s(literal 6/5 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (.f64 eps eps)))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7875 binary64) (.f64 eps eps) #s(literal 1/175 binary64)) (.f64 eps eps) #s(literal 6/5 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 eps eps)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))) #s(literal 1 binary64))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* 27/112000 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))))
(* 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
#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)))))
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(+ 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 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.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 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(* 9/40 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.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)
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
#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 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.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 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.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 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) 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) (/ (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) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) eps)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) eps)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (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)) eps) #s(literal -1 binary64)) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (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) (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (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)) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) (.f64 eps eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps)))) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps))) eps)) (.f64 eps eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps)))) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps))) eps)) (.f64 eps eps))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (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) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64))

rewrite294.0ms (1.6%)

Memory

-7.9MiB live, 193.0MiB allocated

Rules

4 772×	`lower-/.f32`
4 764×	`lower-/.f64`
4 472×	`lower-*.f32`
4 464×	`lower-*.f64`
2 756×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	213
0	62	212
1	257	212
2	2008	212
0	8354	208

Stop Event

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

Counts

20 → 470

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(approx (+ ( 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(approx (+ ( 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(approx (+ ( 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(approx (+ ( 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
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(+.f64 (.f64 (-.f64 eps (tan.f64 eps)) eps) (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))
(+.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 eps (tan.f64 eps)) eps))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (pow.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
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(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (exp.f64 (log.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (neg.f64 (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
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(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (neg.f64 (tan.f64 eps)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 eps (neg.f64 (tan.f64 eps)))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (.f64 eps eps))))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 eps (neg.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)))
(pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(tan.f64 eps)
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(.f64 (/.f64 eps (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
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(*.f64 (neg.f64 eps) (pow.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(*.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))))
(/.f64 (neg.f64 (*.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (*.f64 eps #s(literal 1 binary64)) (-.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 eps) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) eps))
(/.f64 eps (-.f64 eps (tan.f64 eps)))
(neg.f64 (/.f64 (neg.f64 eps) (-.f64 eps (tan.f64 eps))))
(neg.f64 (/.f64 eps (neg.f64 (-.f64 eps (tan.f64 eps)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 eps (neg.f64 (-.f64 eps (tan.f64 eps)))))
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eval232.0ms (1.3%)

Memory: 30.1MiB live, 221.3MiB allocated
Compiler: Compiled 27 556 to 2 697 computations (90.2% saved)

prune49.0ms (0.3%)

Memory

-3.0MiB live, 80.3MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1 046	5	1 051
Fresh	1	7	8
Picked	0	5	5
Done	0	3	3
Total	1 047	20	1 067

Accuracy

100.0%

Counts

1 067 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.5%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
	1.9%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (neg.f64 (sin.f64 eps))))
✓	2.4%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
▶	2.3%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
✓	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	3.7%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) eps)) (-.f64 eps (tan.f64 eps)))
✓	1.8%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
▶	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
▶	2.0%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps)))
	2.3%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
	1.9%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps))) #s(literal -2 binary64)))
	1.9%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) #s(literal -2 binary64)))
✓	1.8%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
	1.8%	(.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (sin.f64 eps)))) (*.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
	1.8%	(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
✓	99.7%	#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)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 705 to 389 computations (44.8% saved)

simplify132.0ms (0.7%)

Memory

-12.5MiB live, 106.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(*.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))
cost-diff	256	(neg.f64 (*.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64)))
cost-diff	12800	(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))))
cost-diff	13248	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))
cost-diff	13248	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64))
cost-diff	704	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps)))
cost-diff	6080	(*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) 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 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) eps)) (-.f64 eps (tan.f64 eps)))
cost-diff	192	(fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff	1024	(*.f64 (fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) eps)
cost-diff	5888	(neg.f64 (pow.f64 eps #s(literal -1 binary64)))

Rules

7 024×	`lower-fma.f32`
7 012×	`lower-fma.f64`
3 274×	`lower-*.f32`
3 262×	`lower-*.f64`
1 930×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	384
0	78	375
1	134	344
2	265	339
3	585	320
4	1442	320
5	3766	320
6	5698	320
0	8078	320

Stop Event

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

Calls

Call 1

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

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

localize1.0s (5.7%)

Memory

-1.7MiB live, 1 465.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	20.245958744931997	(-.f64 (tan.f64 eps) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	39.63730327377931	(log.f64 (-.f64 (tan.f64 eps) eps))
accuracy	61.870979451949836	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
accuracy	8.46673679806287	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
accuracy	20.245958744931997	(-.f64 (tan.f64 eps) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	61.54047907777675	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
accuracy	0.09375	(pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64))
accuracy	20.245958744931997	(-.f64 (tan.f64 eps) eps)
accuracy	20.27248483117872	(-.f64 eps (sin.f64 eps))
accuracy	40.538591835171125	(*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))
accuracy	0.3203125	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	40.756919126625526	(/.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	0.08203125	(*.f64 (fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) eps)
accuracy	20.245958744931997	(-.f64 eps (tan.f64 eps))
accuracy	40.756919126625526	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) eps)) (-.f64 eps (tan.f64 eps)))
accuracy	60.581543972608976	(fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))

Samples

879.0ms	175×	2	valid
93.0ms	76×	1	valid
12.0ms	5×	0	valid

Compiler

Compiled 334 to 44 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 926.0ms

ival-tan: 387.0ms (41.8% of total)

ival-sin: 237.0ms (25.6% of total)

ival-mult: 50.0ms (5.4% of total)

const: 38.0ms (4.1% of total)

adjust: 36.0ms (3.9% of total)

ival-pow: 35.0ms (3.8% of total)

ival-exp: 34.0ms (3.7% of total)

ival-log: 29.0ms (3.1% of total)

ival-sub: 29.0ms (3.1% of total)

ival-div: 28.0ms (3% of total)

ival-add: 17.0ms (1.8% of total)

ival-neg: 6.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory

24.7MiB live, 62.5MiB allocated

Counts

24 → 288

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

eps

-inf

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

7.0ms

eps

inf

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

4.0ms

eps

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

simplify203.0ms (1.1%)

Memory

-5.9MiB live, 279.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 800×	`lower-fma.f64`
9 800×	`lower-fma.f32`
5 868×	`lower-*.f64`
5 868×	`lower-*.f32`
3 936×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	763	5314
1	2421	4687
0	8391	4490

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

Calls

Call 1

Inputs
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 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))))
(* 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))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
1/6
(+ 1/6 (* -1/120 (pow eps 2)))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
2
(+ 2 (* 9/10 (pow eps 2)))
(+ 2 (* (pow eps 2) (+ 9/10 (* 513/1400 (pow eps 2)))))
(+ 2 (* (pow eps 2) (+ 9/10 (* (pow eps 2) (+ 513/1400 (* 297/2000 (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)
(/ 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))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ -3 (pow eps 2))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (/ eps (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps))))))))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* eps (+ (* 1/175 eps) (/ 1 (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps))))))))))) 3) (pow eps 2))
(exp (neg (* -1 (+ (log 1/3) (* 3 (log eps))))))
(+ (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps)))))) (* 2/5 (* (pow eps 2) (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps)))))))))
(+ (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps)))))) (* (pow eps 2) (+ (* 17/105 (* (pow eps 2) (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps)))))))) (* 2/5 (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps))))))))))
(+ (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps)))))) (* (pow eps 2) (+ (* 2/5 (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps))))))) (* (pow eps 2) (+ (* 62/945 (* (pow eps 2) (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps)))))))) (* 17/105 (exp (neg (* -1 (+ (log 1/3) (* 3 (log eps))))))))))))
(+ (log 1/3) (* 3 (log eps)))
(- (* 2/5 (pow eps 2)) (* -1 (+ (log 1/3) (* 3 (log eps)))))
(- (* (pow eps 2) (+ 2/5 (* 43/525 (pow eps 2)))) (* -1 (+ (log 1/3) (* 3 (log eps)))))
(- (* (pow eps 2) (+ 2/5 (* (pow eps 2) (+ 43/525 (* 524/23625 (pow eps 2)))))) (* -1 (+ (log 1/3) (* 3 (log eps)))))
(* -1 (+ (log 1/3) (* 3 (log eps))))
(+ (* -1 (+ (log 1/3) (* 3 (log eps)))) (* -2/5 (pow eps 2)))
(+ (* -1 (+ (log 1/3) (* 3 (log eps)))) (* (pow eps 2) (- (* -43/525 (pow eps 2)) 2/5)))
(+ (* -1 (+ (log 1/3) (* 3 (log eps)))) (* (pow eps 2) (- (* (pow eps 2) (- (* -524/23625 (pow eps 2)) 43/525)) 2/5)))
(* 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))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(+ (log 1/3) (* 3 (log eps)))
(+ (log 1/3) (+ (* 2/5 (pow eps 2)) (* 3 (log eps))))
(+ (log 1/3) (+ (* 3 (log eps)) (* (pow eps 2) (+ 2/5 (* 43/525 (pow eps 2))))))
(+ (log 1/3) (+ (* 3 (log eps)) (* (pow eps 2) (+ 2/5 (* (pow eps 2) (+ 43/525 (* 524/23625 (pow eps 2))))))))
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
-1
(- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ (sin eps) eps)))
(- (+ (/ (sin eps) (* eps (cos eps))) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) (pow eps 2))) (+ 1 (/ (sin eps) eps)))
(- (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) (pow eps 3))) (+ 1 (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) (pow eps 2))) (/ (sin eps) eps))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
(/ 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)
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(+ 1 (/ (sin eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* (cos eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))))))) eps)) (/ (sin eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow (cos eps) 2) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))) (/ (* (sin eps) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))) (pow eps 2))) (/ (sin eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* eps (* (cos eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (* (pow (cos eps) 2) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))) (/ (* (sin eps) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))) (cos eps)) (+ (/ (* (sin eps) (+ (* -1/3 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -1/6 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))) (/ (* (pow (sin eps) 2) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (cos eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))))) (pow eps 3))) (/ (sin eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (* (cos eps) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))))))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (* (pow (cos eps) 2) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))))))) (/ (* (sin eps) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 2) (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))))))))))
(exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))))
(+ (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (* -1 (/ (* (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (sin eps)) (* eps (cos eps)))))
(+ (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (+ (* -1 (/ (* (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (sin eps)) (* eps (cos eps)))) (/ (* (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 2))))
(+ (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (+ (* -1 (/ (* (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (sin eps)) (* eps (cos eps)))) (+ (/ (* (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 2)) (/ (* (exp (neg (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))) (+ (* -1/3 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -1/6 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (pow eps 3)))))
(+ (log -1) (* -1 (log (/ 1 eps))))
(- (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))))
(- (* -1/2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))) (/ (sin eps) (* eps (cos eps)))))
(- (* -1/3 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))) (+ (* 1/2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 eps)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))) (/ (sin eps) (* eps (cos eps))))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))) (+ (* 1/2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 eps))))) (+ (* 1/3 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 1/2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps)
(+ (log -1) (* -1 (log (/ 1 eps))))
(+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (sin eps) (* eps (cos eps))))))
(+ (log -1) (+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1/2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(+ (log -1) (+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1/3 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))))
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
-1
(- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ (sin eps) eps)))
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps))) eps)) 1)
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (+ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) eps))) eps)) 1)
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ 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))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(+ 1 (/ (sin eps) (exp (neg (log (/ -1 eps))))))
(+ 1 (+ (/ (sin eps) (exp (neg (log (/ -1 eps))))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* eps (* (cos eps) (exp (neg (log (/ -1 eps))))))))))
(+ 1 (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* eps (* (pow (cos eps) 2) (exp (neg (log (/ -1 eps)))))))) (/ (* (sin eps) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (exp (neg (log (/ -1 eps)))))))) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* (cos eps) (exp (neg (log (/ -1 eps)))))))) eps)) (/ (sin eps) (exp (neg (log (/ -1 eps)))))))
(+ 1 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (* (pow (cos eps) 2) (exp (neg (log (/ -1 eps))))))) (/ (* (sin eps) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (exp (neg (log (/ -1 eps))))))) (* eps (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (* (cos eps) (exp (neg (log (/ -1 eps)))))))) (+ (/ (* (sin eps) (+ (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 1/6 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/3 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* eps (exp (neg (log (/ -1 eps)))))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow (cos eps) 2) (exp (neg (log (/ -1 eps))))))) (/ (* (sin eps) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (exp (neg (log (/ -1 eps)))))))) eps)) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* (cos eps) (exp (neg (log (/ -1 eps)))))))) eps)) (/ (sin eps) (exp (neg (log (/ -1 eps)))))))
(exp (neg (log (/ -1 eps))))
(+ (exp (neg (log (/ -1 eps)))) (* -1 (/ (* (exp (neg (log (/ -1 eps)))) (sin eps)) (* eps (cos eps)))))
(+ (exp (neg (log (/ -1 eps)))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log (/ -1 eps)))) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (* (exp (neg (log (/ -1 eps)))) (sin eps)) (cos eps))) eps)))
(+ (exp (neg (log (/ -1 eps)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log (/ -1 eps)))) (+ (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* 1/6 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/3 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps)) (* (exp (neg (log (/ -1 eps)))) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps)) (/ (* (exp (neg (log (/ -1 eps)))) (sin eps)) (cos eps))) eps)))
(* -1 (log (/ -1 eps)))
(- (* -1 (/ (sin eps) (* eps (cos eps)))) (log (/ -1 eps)))
(- (* -1 (/ (- (* 1/2 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* -1 (/ (sin eps) (cos eps)))) eps)) (log (/ -1 eps)))
(- (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) (log (/ -1 eps)))
(log (/ -1 eps))
(+ (log (/ -1 eps)) (/ (sin eps) (* eps (cos eps))))
(+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))
(+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* 1/3 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps)))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (/ (sin eps) eps))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (log (/ -1 eps)))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ (* 1/2 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)) (/ (sin eps) (cos eps))) eps)))

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

rewrite216.0ms (1.2%)

Memory

18.3MiB live, 371.0MiB allocated

Rules

5 304×	`lower-fma.f32`
5 292×	`lower-fma.f64`
4 030×	`lower-/.f32`
4 018×	`lower-/.f64`
3 764×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	278
0	78	275
1	304	249
2	2284	245
0	8676	245

Stop Event

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

Counts

24 → 832

Calls

Call 1

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

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

eval228.0ms (1.2%)

Memory: 16.4MiB live, 471.0MiB allocated
Compiler: Compiled 43 570 to 4 750 computations (89.1% saved)

prune43.0ms (0.2%)

Memory

6.1MiB live, 134.6MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	1 493	5	1 498
Fresh	0	7	7
Picked	4	1	5
Done	0	8	8
Total	1 497	21	1 518

Accuracy

100.0%

Counts

1 518 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (neg.f64 (sin.f64 eps))))
	2.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
✓	2.4%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
	2.3%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (-.f64 (tan.f64 eps) eps)))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
✓	2.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	3.7%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) eps) (sin.f64 eps) #s(literal 1 binary64)) eps)) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (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) eps (.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
✓	1.8%	(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) eps)) (-.f64 eps (tan.f64 eps)))
✓	2.0%	(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 eps eps) #s(literal 1/5040 binary64)) (.f64 eps eps) #s(literal -1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
	2.0%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))) (-.f64 (tan.f64 eps) eps)))
	2.3%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
	1.9%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps))) #s(literal -2 binary64)))
	1.9%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) #s(literal -2 binary64)))
✓	1.8%	(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
	1.8%	(.f64 (/.f64 (fma.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) eps) (+.f64 (tan.f64 eps) eps) (.f64 (+.f64 (tan.f64 eps) eps) (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (sin.f64 eps)))) (*.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
	1.8%	(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
✓	99.7%	#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)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.2%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	98.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 1 066 to 389 computations (63.5% saved)

regimes205.0ms (1.1%)

Memory

-33.6MiB live, 44.2MiB allocated

Counts

34 → 1

Calls

Call 1

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

Calls

2 calls:

186.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
16.0ms	eps

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Memory

9.6MiB live, 9.6MiB 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 (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))

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

Calls

2 calls:

3.0ms	eps
2.0ms	(/.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 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`eps`
99.2%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

8.2MiB 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
2.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
98.6%	1	`eps`
98.6%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify26.0ms (0.1%)

Memory

-37.1MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness353.0ms (1.9%)

Memory

1.4MiB live, 228.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 72 to 39 computations (45.8% saved)

preprocess42.0ms (0.2%)

Memory: 11.3MiB live, 95.1MiB allocated
Remove: (abs eps)
Compiler: Compiled 142 to 76 computations (46.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze441.0ms (2.4%)

sample10.0s (54.4%)

explain596.0ms (3.3%)

preprocess49.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.1%)

localize319.0ms (1.7%)

series4.0ms (0%)

simplify163.0ms (0.9%)

rewrite459.0ms (2.5%)

eval51.0ms (0.3%)

prune28.0ms (0.2%)

simplify441.0ms (2.4%)

localize688.0ms (3.8%)

series21.0ms (0.1%)

simplify163.0ms (0.9%)

rewrite249.0ms (1.4%)

eval147.0ms (0.8%)

prune32.0ms (0.2%)

simplify170.0ms (0.9%)

localize888.0ms (4.9%)

series53.0ms (0.3%)

simplify251.0ms (1.4%)

rewrite294.0ms (1.6%)

eval232.0ms (1.3%)

prune49.0ms (0.3%)

simplify132.0ms (0.7%)

localize1.0s (5.7%)

series30.0ms (0.2%)

simplify203.0ms (1.1%)

rewrite216.0ms (1.2%)

eval228.0ms (1.2%)

prune43.0ms (0.2%)

regimes205.0ms (1.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify26.0ms (0.1%)

soundness353.0ms (1.9%)

preprocess42.0ms (0.2%)

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