Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze373.0ms (2.1%)

Memory

55.6MiB live, 470.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.9s (55.7%)

Memory

67.0MiB live, 9 240.4MiB allocated

Samples

7.5s	4 561×	2	valid
1.2s	1 160×	3	valid
683.0ms	2 386×	1	valid
14.0ms	149×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.0s

ival-tan: 5.3s (59.4% of total)

ival-sin: 2.4s (27.2% of total)

adjust: 406.0ms (4.5% of total)

ival-sub: 271.0ms (3% of total)

const: 254.0ms (2.8% of total)

ival-div: 175.0ms (1.9% of total)

ival-<=: 82.0ms (0.9% of total)

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

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

Bogosity

explain957.0ms (5.4%)

Memory

19.3MiB live, 814.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
169	0	-	2	(1.0170578449965678e-107)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
89	0	-	0	-	`(-.f64 eps (tan.f64 eps))`
88	1	(-6.695792890290003e-108)	0	-	`(-.f64 eps (sin.f64 eps))`
0	0	-	0	-	`(tan.f64 eps)`
0	0	-	0	-	`eps`
0	0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	167	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	167
↳	`(-.f64 eps (tan.f64 eps))`	underflow	167
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	89	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	89	0

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

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

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
1	167
2	89

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

348.0ms	286×	2	valid
78.0ms	80×	3	valid
27.0ms	140×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 429.0ms

ival-tan: 264.0ms (61.6% of total)

ival-sin: 119.0ms (27.8% of total)

adjust: 24.0ms (5.6% of total)

ival-sub: 14.0ms (3.3% of total)

ival-div: 7.0ms (1.6% of total)

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

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

preprocess76.0ms (0.4%)

Memory

-17.5MiB live, 59.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.3%	(/.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

3.6MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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)

localize255.0ms (1.4%)

Memory

-9.7MiB live, 320.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	18.973719273458133	(-.f64 eps (sin.f64 eps))
accuracy	19.015007486354488	(-.f64 eps (tan.f64 eps))
accuracy	41.749473769093484	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

196.0ms	143×	2	valid
34.0ms	40×	3	valid
16.0ms	70×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-tan: 143.0ms (62% of total)

ival-sin: 64.0ms (27.8% of total)

adjust: 10.0ms (4.3% of total)

ival-sub: 10.0ms (4.3% of total)

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

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

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

series5.0ms (0%)

Memory

8.5MiB live, 8.5MiB 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)))

simplify152.0ms (0.9%)

Memory

-7.6MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

rewrite194.0ms (1.1%)

Memory

2.2MiB live, 189.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

Outputs
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eval100.0ms (0.6%)

Memory: 12.2MiB live, 129.0MiB allocated
Compiler: Compiled 11 528 to 1 222 computations (89.4% saved)

prune16.0ms (0.1%)

Memory

15.4MiB live, 53.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	452	10	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	452	11	463

Accuracy

100.0%

Counts

463 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.0%	(fma.f64 (/.f64 eps (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
	1.9%	(fma.f64 (sin.f64 eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
▶	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps))
✓	1.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
	1.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
	1.6%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 267 to 162 computations (39.3% saved)

simplify316.0ms (1.8%)

Memory

-14.1MiB live, 108.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps))
cost-diff	192	(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)
cost-diff	5888	(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64))
cost-diff	0	#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.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)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	53	213
1	95	211
2	158	210
3	335	210
4	686	210
5	1172	210
6	1872	210
7	2591	210
8	4710	210
9	5830	210
10	6353	210
11	6441	210
12	6447	210
13	6447	210
14	6679	210
15	6705	210
16	6705	210
17	6705	210
18	6709	210
19	6715	210
0	6715	210

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize530.0ms (3%)

Memory

11.7MiB live, 799.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64))
accuracy	18.973719273458133	(-.f64 eps (sin.f64 eps))
accuracy	18.999863515772333	(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)
accuracy	41.749473769093484	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps))
accuracy	0.01171875	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	18.973719273458133	(-.f64 eps (sin.f64 eps))
accuracy	19.015007486354488	(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	41.749473769093484	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
accuracy	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.00390625	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.09067979145225977	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.3990363585125149	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0.04010005877532991	#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

327.0ms	141×	2	valid
85.0ms	70×	1	valid
84.0ms	42×	3	valid
1.0ms	3×	0	valid

Compiler

Compiled 181 to 32 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-tan: 145.0ms (34.8% of total)

ival-sin: 64.0ms (15.4% of total)

ival-cos: 62.0ms (14.9% of total)

adjust: 37.0ms (8.9% of total)

ival-mult: 25.0ms (6% of total)

ival-pow: 21.0ms (5% of total)

const: 17.0ms (4.1% of total)

ival-add: 15.0ms (3.6% of total)

ival-div: 11.0ms (2.6% of total)

ival-sub: 11.0ms (2.6% of total)

ival-neg: 6.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory

-4.1MiB live, 33.7MiB allocated

Counts

18 → 216

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (/ (sin eps) (cos eps))) (/ (sin eps) (cos 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))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))
2.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))

Time

Variable

Point

Expression

4.0ms

eps

-inf

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

simplify168.0ms (0.9%)

Memory

42.6MiB live, 192.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	2694
1	633	2548
2	1950	2423
3	6129	2223
0	8350	2129

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 206

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)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
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
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
1
(- (+ 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))))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(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 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (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))))))
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 (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 (* -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)))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(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)))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
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))

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))
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(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(-.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 (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)))
(/ (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))

rewrite250.0ms (1.4%)

Memory

-31.2MiB live, 193.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	186
0	53	179
1	220	163
2	1658	163
0	8271	163

Stop Event

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

Counts

18 → 595

Calls

Call 1

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

Outputs
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eval156.0ms (0.9%)

Memory: 2.7MiB live, 186.0MiB allocated
Compiler: Compiled 22 750 to 2 401 computations (89.4% saved)

prune62.0ms (0.4%)

Memory

-2.4MiB live, 72.2MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	952	2	954
Fresh	1	4	5
Picked	1	4	5
Done	0	1	1
Total	954	11	965

Accuracy

100.0%

Counts

965 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.0%	(fma.f64 (/.f64 eps (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
▶	1.9%	(fma.f64 (sin.f64 eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
▶	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	1.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
▶	1.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 235 to 143 computations (39.1% saved)

simplify378.0ms (2.1%)

Memory

12.6MiB live, 160.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(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	(sin.f64 eps)
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 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	(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))
cost-diff	0	(/.f64 #s(literal 1 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)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	248
0	64	236
1	108	236
2	176	232
3	362	230
4	881	230
5	1816	230
6	2939	230
7	4489	230
8	6120	230
9	6764	230
10	6968	230
11	7045	230
12	7102	230
13	7154	230
14	7225	230
15	7352	230
16	7509	230
17	7565	230
18	7641	230
19	7819	230
20	7831	230
21	7841	230
22	7871	230
0	8244	230

Stop Event

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

Calls

Call 1

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

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

localize772.0ms (4.3%)

Memory

-46.0MiB live, 797.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	8.030899000558575	(/.f64 eps (-.f64 eps (tan.f64 eps)))
accuracy	19.015007486354488	(-.f64 (tan.f64 eps) eps)
accuracy	19.015007486354488	(-.f64 eps (tan.f64 eps))
accuracy	62.36963755030696	(fma.f64 (sin.f64 eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (cos.f64 eps))
accuracy	18.973719273458133	(-.f64 eps (sin.f64 eps))
accuracy	18.999863515772333	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
accuracy	41.749473769093484	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
accuracy	18.973719273458133	(-.f64 (sin.f64 eps) eps)
accuracy	19.015007486354488	(-.f64 (tan.f64 eps) eps)
accuracy	41.7501667231976	(/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))
accuracy	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.1359043415399245	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy	0.00390625	(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 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)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
accuracy	0.04010005877532991	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))

Samples

422.0ms	141×	2	valid
165.0ms	42×	3	valid
107.0ms	72×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 238 to 38 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 650.0ms

ival-tan: 255.0ms (39.2% of total)

adjust: 81.0ms (12.5% of total)

ival-mult: 70.0ms (10.8% of total)

ival-sin: 69.0ms (10.6% of total)

ival-div: 49.0ms (7.5% of total)

ival-add: 34.0ms (5.2% of total)

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

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

const: 17.0ms (2.6% of total)

ival-pow: 8.0ms (1.2% of total)

exact: 1.0ms (0.2% of total)

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

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

series36.0ms (0.2%)

Memory

-6.6MiB live, 37.7MiB allocated

Counts

22 → 264

Calls

Call 1

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

4.0ms

eps

inf

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

3.0ms

eps

-inf

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

2.0ms

eps

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

simplify389.0ms (2.2%)

Memory

3.1MiB live, 238.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	3472
1	1247	3278
2	3982	3107
0	8194	2968

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

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)
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
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))))
-1/2
(- (* 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))
(/ (+ 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))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
-1
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(* -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))
(/ -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))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin 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))))))
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)
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)))) 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)
(* 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 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (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))))))
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))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
1
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin 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)))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
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)
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)))) 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))
(* 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 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
1
(+ 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))
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(fma.f64 #s(literal -9/10 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(fma.f64 (fma.f64 #s(literal -513/1400 binary64) (.f64 eps eps) #s(literal -9/10 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -297/2000 binary64) (.f64 eps eps) #s(literal -513/1400 binary64)) (.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -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))
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(+ 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 (sin.f64 eps) (cos.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)) 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)
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 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal -1 binary64))) 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 (sin.f64 eps) (cos.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)) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) 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))
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 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)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps))) eps)) (sin.f64 eps)) eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(/ (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))
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)
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 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal -1 binary64))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.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)) 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)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps)) 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 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(/ -1 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)
(* 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 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (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)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.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 (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))

rewrite337.0ms (1.9%)

Memory

19.7MiB live, 302.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	207
0	64	203
1	279	188
2	2135	188
0	8759	188

Stop Event

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

Counts

22 → 901

Calls

Call 1

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

Outputs
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eval255.0ms (1.4%)

Memory: 30.7MiB live, 292.3MiB allocated
Compiler: Compiled 33 582 to 3 689 computations (89% saved)

prune30.0ms (0.2%)

Memory

-17.1MiB live, 99.2MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 340	3	1 343
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	1 342	12	1 354

Accuracy

100.0%

Counts

1 354 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.9%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
✓	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	1.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
▶	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (+ (* (/ -1 (cos eps)) (sin eps)) eps) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
▶	0.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps)))))
✓	1.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 175 to 111 computations (36.6% saved)

simplify112.0ms (0.6%)

Memory

7.9MiB live, 127.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff	0	(sin.f64 eps)
cost-diff	7168	(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	(sin.f64 eps)
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (+ (* (/ -1 (cos eps)) (sin eps)) eps) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
cost-diff	1024	(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps)))))
cost-diff	128	(neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps)))
cost-diff	12928	(/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	298
0	73	298
1	131	295
2	226	284
3	556	266
4	2559	266
5	5576	263
0	8508	263

Stop Event

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

Calls

Call 1

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

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

localize781.0ms (4.4%)

Memory

-4.4MiB live, 1 122.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	8.030899000558575	(/.f64 eps (-.f64 eps (tan.f64 eps)))
accuracy	19.015007486354488	(-.f64 (tan.f64 eps) eps)
accuracy	19.015007486354488	(-.f64 eps (tan.f64 eps))
accuracy	62.36963755030696	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
accuracy	0.00390625	(/.f64 (sin.f64 eps) eps)
accuracy	18.973719273458133	(-.f64 eps (sin.f64 eps))
accuracy	19.0036321818972	(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
accuracy	41.749473769093484	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (+ (* (/ -1 (cos eps)) (sin eps)) eps) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
accuracy	8.066269535185391	(/.f64 eps (-.f64 (sin.f64 eps) eps))
accuracy	9.401988996068432	(-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
accuracy	18.973719273458133	(-.f64 (sin.f64 eps) eps)
accuracy	62.150721842869494	(fma.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))))

Samples

465.0ms	141×	2	valid
204.0ms	42×	3	valid
54.0ms	72×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 285 to 43 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 679.0ms

ival-tan: 246.0ms (36.2% of total)

ival-sin: 119.0ms (17.5% of total)

ival-cos: 87.0ms (12.8% of total)

adjust: 52.0ms (7.7% of total)

ival-pow: 47.0ms (6.9% of total)

ival-div: 39.0ms (5.7% of total)

ival-mult: 36.0ms (5.3% of total)

ival-add: 21.0ms (3.1% of total)

ival-sub: 20.0ms (2.9% of total)

ival-pow2: 7.0ms (1% of total)

ival-neg: 4.0ms (0.6% of total)

exact: 1.0ms (0.1% of total)

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

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

series45.0ms (0.3%)

Memory

0.8MiB live, 38.9MiB allocated

Counts

17 → 204

Calls

Call 1

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

Outputs
#s(alt (* 3 (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 3 (pow eps 2))) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 77/180 (pow eps 2)))))) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 77/180 (* 109/630 (pow eps 2)))))))) (taylor 0 eps) (#s(alt (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow eps 2)) (taylor 0 eps) (#s(alt (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) (patch (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 2)) (taylor 0 eps) (#s(alt (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) (patch (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 2)) (taylor 0 eps) (#s(alt (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) (patch (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 2)) (taylor 0 eps) (#s(alt (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) (patch (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 eps (-.f64 (sin.f64 eps) eps))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

29.0ms

eps

-inf

((/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1)) (neg (/ eps (- (sin eps) eps))) (/ 1 (+ (* (/ (sin eps) (- (pow (sin eps) 3) (pow eps 3))) (/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1))) (neg (/ eps (- (sin eps) eps))))) (+ (* (/ (sin eps) (- (pow (sin eps) 3) (pow eps 3))) (/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1))) (neg (/ eps (- (sin eps) eps)))) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (sin eps) (/ 1 (- (tan eps) eps))) (/ eps (- eps (tan eps)))) (/ 1 (- (tan eps) eps)) (- (tan eps) eps) (- (sin eps) eps) (- (pow (sin eps) 3) (pow eps 3)) (/ eps (- (sin eps) eps)) (/ (sin eps) eps) (- eps (tan eps)) (/ eps (- eps (tan eps))))

5.0ms

eps

inf

((/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1)) (neg (/ eps (- (sin eps) eps))) (/ 1 (+ (* (/ (sin eps) (- (pow (sin eps) 3) (pow eps 3))) (/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1))) (neg (/ eps (- (sin eps) eps))))) (+ (* (/ (sin eps) (- (pow (sin eps) 3) (pow eps 3))) (/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1))) (neg (/ eps (- (sin eps) eps)))) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (sin eps) (/ 1 (- (tan eps) eps))) (/ eps (- eps (tan eps)))) (/ 1 (- (tan eps) eps)) (- (tan eps) eps) (- (sin eps) eps) (- (pow (sin eps) 3) (pow eps 3)) (/ eps (- (sin eps) eps)) (/ (sin eps) eps) (- eps (tan eps)) (/ eps (- eps (tan eps))))

4.0ms

eps

((/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1)) (neg (/ eps (- (sin eps) eps))) (/ 1 (+ (* (/ (sin eps) (- (pow (sin eps) 3) (pow eps 3))) (/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1))) (neg (/ eps (- (sin eps) eps))))) (+ (* (/ (sin eps) (- (pow (sin eps) 3) (pow eps 3))) (/ (pow (cos eps) -1) (pow (+ (* eps (+ (sin eps) eps)) (pow (sin eps) 2)) -1))) (neg (/ eps (- (sin eps) eps)))) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (sin eps) (/ 1 (- (tan eps) eps))) (/ eps (- eps (tan eps)))) (/ 1 (- (tan eps) eps)) (- (tan eps) eps) (- (sin eps) eps) (- (pow (sin eps) 3) (pow eps 3)) (/ eps (- (sin eps) eps)) (/ (sin eps) eps) (- eps (tan eps)) (/ eps (- eps (tan eps))))

simplify166.0ms (0.9%)

Memory

-22.8MiB live, 222.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	549	3025
1	1617	2843
2	5251	2725
0	8278	2618

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 197

Calls

Call 1

Inputs
(* 3 (pow eps 2))
(* (pow eps 2) (+ 3 (pow eps 2)))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 77/180 (pow eps 2))))))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 77/180 (* 109/630 (pow eps 2))))))))
(/ 6 (pow eps 2))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 2))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 2))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 2))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
-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))))
-1/2
(- (* 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))
(/ (+ 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))))))))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1/2 (pow eps 5))
(* (pow eps 5) (- (* 13/120 (pow eps 2)) 1/2))
(* (pow eps 5) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2))
(* (pow eps 5) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2))
(/ -6 (pow eps 2))
(/ (- (* -3/10 (pow eps 2)) 6) (pow eps 2))
(/ (- (* (pow eps 2) (- (* -11/1400 (pow eps 2)) 3/10)) 6) (pow eps 2))
(/ (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/126000 (pow eps 2)) 11/1400)) 3/10)) 6) (pow eps 2))
1
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))
(+ 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))
(/ -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))
(/ (pow eps 2) (cos eps))
(* (pow eps 2) (+ (/ 1 (cos eps)) (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (+ (/ 1 (cos eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(* (pow eps 2) (+ (/ 1 (cos eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
1
(+ 1 (/ (sin eps) eps))
(+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))
(+ 1 (+ (/ (sin eps) eps) (+ (/ (pow (sin eps) 2) (pow eps 2)) (/ (pow (sin eps) 3) (pow eps 3)))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)) (pow (sin eps) 2))))) (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (pow (sin eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (cos eps))) (pow (sin eps) 3)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))))
1
(+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
(+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (cos eps)))) (+ (/ (sin eps) eps) (+ (/ (pow (sin eps) 2) (pow eps 2)) (/ (pow (sin eps) 3) (pow eps 3))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
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)
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)))) 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 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 (pow eps 3))
(* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1))
(* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1))
(* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1))
-1
(- (* -1 (/ (sin eps) eps)) 1)
(- (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ 1 (/ (sin eps) eps)))
(- (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
1
(+ 1 (/ (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))))))
(/ (pow eps 2) (cos eps))
(* (pow eps 2) (+ (/ 1 (cos eps)) (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)) (/ 1 (cos eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)) (/ 1 (cos eps))))
1
(+ 1 (/ (sin eps) eps))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) eps) (* -1 (pow (sin eps) 2))) eps)) (sin eps)) eps)))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* (- (sin eps) (/ (sin eps) (cos eps))) (- (/ (sin eps) (cos eps)) (sin eps))))) eps))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* (- (sin eps) (/ (sin eps) (cos eps))) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (sin eps) 2)))) (+ (* (- (* -1 (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* (- (sin eps) (/ (sin eps) (cos eps))) (- (/ (sin eps) (cos eps)) (sin eps))))) (- (/ (sin eps) (cos eps)) (sin eps))) (/ (pow (sin eps) 3) (cos eps))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* (- (sin eps) (/ (sin eps) (cos eps))) (- (/ (sin eps) (cos eps)) (sin eps))))) eps))) (/ (sin eps) (cos eps))) eps)))
1
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (sin eps) 2))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 3) (cos eps)) (pow (sin eps) 3)) eps)) (* -1 (/ (pow (sin eps) 2) (cos eps)))) (* -1 (pow (sin eps) 2))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
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)
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)))) 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 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (pow eps 3))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))))
-1
(- (* -1 (/ (sin eps) eps)) 1)
(- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
1
(+ 1 (/ (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
(* 3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 3 binary64))
(* (pow eps 2) (+ 3 (pow eps 2)))
(.f64 (.f64 (fma.f64 eps eps #s(literal 3 binary64)) eps) eps)
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 77/180 (pow eps 2))))))
(.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 77/180 binary64) #s(literal 3 binary64))) (.f64 eps eps))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 77/180 (* 109/630 (pow eps 2))))))))
(.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 109/630 binary64) (.f64 eps eps) #s(literal 77/180 binary64)) #s(literal 3 binary64))) (*.f64 eps eps))
(/ 6 (pow eps 2))
(/.f64 #s(literal 6 binary64) (*.f64 eps eps))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3/10 binary64) (*.f64 eps eps) #s(literal 6 binary64)) eps) eps)
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 11/1400 binary64) (.f64 eps eps) #s(literal 3/10 binary64)) (.f64 eps eps) #s(literal 6 binary64)) eps) eps)
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/126000 binary64) (.f64 eps eps) #s(literal 11/1400 binary64)) (.f64 eps eps) #s(literal 3/10 binary64)) (*.f64 eps eps) #s(literal 6 binary64)) eps) eps)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
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(/.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 (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)) (neg.f64 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 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (pow eps 3))
(neg.f64 (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (sin eps) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))
(- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) eps) (sin.f64 eps)) eps))
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.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)
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))

rewrite157.0ms (0.9%)

Memory

9.9MiB live, 201.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	198
0	73	197
1	328	138
2	2951	128
0	8696	128

Stop Event

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

Counts

17 → 683

Calls

Call 1

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

Outputs
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eval132.0ms (0.7%)

Memory: 47.0MiB live, 269.7MiB allocated
Compiler: Compiled 34 509 to 3 636 computations (89.5% saved)

prune26.0ms (0.1%)

Memory

2.4MiB live, 77.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 018	2	1 020
Fresh	0	0	0
Picked	3	0	3
Done	2	7	9
Total	1 023	9	1 032

Accuracy

100.0%

Counts

1 032 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.0%	(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (+ (* (/ -1 (cos eps)) (sin eps)) eps) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
	0.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (neg.f64 eps) (-.f64 (sin.f64 eps) eps))))
✓	1.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 417 to 171 computations (59% saved)

regimes14.0ms (0.1%)

Memory

-12.1MiB live, 25.0MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

7.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
6.0ms	eps

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB 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
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.1%)

Memory

-46.2MiB live, 6.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.4%	1	`eps`
99.4%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify59.0ms (0.3%)

Memory

13.1MiB live, 80.5MiB 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))

soundness459.0ms (2.6%)

Memory

6.3MiB live, 243.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 72 to 39 computations (45.8% saved)

preprocess42.0ms (0.2%)

Memory: 35.1MiB live, 110.5MiB allocated
Remove: (abs eps)
Compiler: Compiled 142 to 76 computations (46.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze373.0ms (2.1%)

sample9.9s (55.7%)

explain957.0ms (5.4%)

preprocess76.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.1%)

localize255.0ms (1.4%)

series5.0ms (0%)

simplify152.0ms (0.9%)

rewrite194.0ms (1.1%)

eval100.0ms (0.6%)

prune16.0ms (0.1%)

simplify316.0ms (1.8%)

localize530.0ms (3%)

series18.0ms (0.1%)

simplify168.0ms (0.9%)

rewrite250.0ms (1.4%)

eval156.0ms (0.9%)

prune62.0ms (0.4%)

simplify378.0ms (2.1%)

localize772.0ms (4.3%)

series36.0ms (0.2%)

simplify389.0ms (2.2%)

rewrite337.0ms (1.9%)

eval255.0ms (1.4%)

prune30.0ms (0.2%)

simplify112.0ms (0.6%)

localize781.0ms (4.4%)

series45.0ms (0.3%)

simplify166.0ms (0.9%)

rewrite157.0ms (0.9%)

eval132.0ms (0.7%)

prune26.0ms (0.1%)

regimes14.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes19.0ms (0.1%)

simplify59.0ms (0.3%)

soundness459.0ms (2.6%)

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