Metrics for 2tan (problem 3.3.2)

analyze42.0ms (0.3%)

Memory

13.2MiB live, 90.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.5s (40.6%)

Memory

-137.2MiB live, 8 040.4MiB allocated

Samples

3.1s	25 882×	0	invalid
904.0ms	5 498×	0	valid
448.0ms	2 758×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

const: 834.0ms (27% of total)

ival-tan: 567.0ms (18.4% of total)

ival-mult: 284.0ms (9.2% of total)

ival-<=: 273.0ms (8.8% of total)

ival-sub: 268.0ms (8.7% of total)

ival-add: 243.0ms (7.9% of total)

ival-fabs: 218.0ms (7.1% of total)

ival-<: 168.0ms (5.4% of total)

ival-and: 98.0ms (3.2% of total)

adjust: 77.0ms (2.5% of total)

exact: 43.0ms (1.4% of total)

ival-assert: 12.0ms (0.4% of total)

Bogosity

preprocess36.0ms (0.2%)

Memory

-1.5MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Rules

102×	`sub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
68×	`cancel-sign-sub-inv`
64×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

explain107.0ms (0.7%)

Memory

0.0MiB live, 208.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
225	6	(-2.882811203987059e-129 1.5955952455467284e-131)	5	(-1.076107965451668e-175 1.4867591914498493e-177)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
3	0	-	0	-	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	226	9
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	2	0
`tan.f64`	`(tan.f64 (+.f64 x eps))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	223	5
-	6	22

Precision

0.9737991266375546

Recall

0.9780701754385965

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	223	5	0
-	6	4	18

Precision?

0.957983193277311

Recall?

1.0

Freqs

test

number	freq
0	27
1	229

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	172×	1	valid
17.0ms	338×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-tan: 11.0ms (39% of total)

ival-add: 10.0ms (35.4% of total)

adjust: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.1%)

Memory

-20.6MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(tan.f64 x)
✓	cost-diff	(+.f64 x eps)
✓	cost-diff	(tan.f64 (+.f64 x eps))
✓	cost-diff	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)

localize27.0ms (0.2%)

Memory

20.0MiB live, 58.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	62.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

11.0ms	169×	0	valid
8.0ms	86×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-tan: 5.0ms (39.9% of total)

ival-sub: 4.0ms (31.9% of total)

adjust: 2.0ms (16% of total)

ival-add: 2.0ms (16% of total)

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

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

series14.0ms (0.1%)

Memory

-15.4MiB live, 22.1MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))>
#<alt (tan.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (tan.f64 x)>

Outputs
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(- (tan (+ x eps)) (tan x))
2.0ms	eps	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	-inf	(- (tan (+ x eps)) (tan x))

rewrite302.0ms (1.9%)

Memory

-5.2MiB live, 538.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 404×	`lower-*.f64`
4 404×	`lower-*.f32`
3 318×	`lower-/.f64`
3 318×	`lower-/.f32`
3 264×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	50	16
2	402	16
3	6117	16
0	8095	16

Stop Event

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

Counts

4 → 259

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 x)

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

simplify614.0ms (3.8%)

Memory

-0.6MiB live, 682.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
5 316×	`lower-*.f64`
5 316×	`lower-*.f32`
2 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 77

Calls

Call 1

Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval64.0ms (0.4%)

Memory: -20.6MiB live, 52.3MiB allocated
Compiler: Compiled 8 624 to 983 computations (88.6% saved)

prune258.0ms (1.6%)

Memory

-10.0MiB live, 121.9MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	317	19	336
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	20	337

Accuracy

100.0%

Counts

337 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
▶	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	36.0%	(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	97.7%	(fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	98.9%	(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	98.6%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	62.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	61.6%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	34.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	62.5%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	97.5%	(/.f64 (sin.f64 eps) (cos.f64 eps))
▶	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
▶	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))

Compiler

Compiled 779 to 418 computations (46.3% saved)

simplify987.0ms (6.1%)

Memory

27.5MiB live, 460.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	16128	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	128	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
✓	cost-diff	25344	(fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Rules

12 626×	`lower-fma.f32`
12 618×	`lower-fma.f64`
4 928×	`lower-*.f32`
4 918×	`lower-*.f64`
1 216×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	315
0	76	281
1	142	279
2	309	277
3	778	277
4	2487	271
5	5704	271
0	8080	265

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (1.2%)

Memory

13.0MiB live, 375.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	accuracy	62.1%	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
✓	accuracy	54.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	62.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓	accuracy	62.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	accuracy	100.0%	(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	accuracy	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Samples

72.0ms	90×	1	valid
59.0ms	165×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 323 to 45 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 21.0ms (21.5% of total)

ival-mult: 17.0ms (17.4% of total)

ival-add: 11.0ms (11.2% of total)

adjust: 8.0ms (8.2% of total)

ival-tan: 6.0ms (6.1% of total)

ival-cos: 6.0ms (6.1% of total)

ival-pow: 6.0ms (6.1% of total)

ival-pow2: 6.0ms (6.1% of total)

const: 5.0ms (5.1% of total)

ival-sin: 5.0ms (5.1% of total)

ival-sub: 4.0ms (4.1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.5%)

Memory

-20.2MiB live, 138.3MiB allocated

Counts

25 → 504

Calls

Call 1

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

Outputs
#<alt (* eps x)>
#<alt (* x (+ eps x))>
#<alt (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))>
#<alt (* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
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#<alt (* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))>
#<alt (* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))>
#<alt (* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* eps (+ (* -1 (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))))) (pow (sin x) 2))) (/ (* (pow (cos x) 3) (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3)))))))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))>
#<alt (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))>
#<alt (/ (cos eps) (sin eps))>
#<alt (+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos x) (sin x))>
#<alt (+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>

Calls

126 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))
6.0ms	eps	@	0	(/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x))))
4.0ms	eps	@	-inf	(+ (* eps (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
4.0ms	x	@	inf	(+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
3.0ms	x	@	inf	(/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x))))

rewrite390.0ms (2.4%)

Memory

-5.9MiB live, 467.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 148×	`lower-fma.f32`
6 140×	`lower-fma.f64`
4 330×	`lower-/.f32`
4 312×	`lower-/.f64`
4 124×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	247
0	76	206
1	333	183
2	2796	183
0	9806	178

Stop Event

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

Counts

25 → 1 268

Calls

Call 1

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

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

simplify487.0ms (3%)

Memory

31.8MiB live, 541.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 078×	`lower-fma.f64`
10 078×	`lower-fma.f32`
8 204×	`lower-*.f64`
8 204×	`lower-*.f32`
5 046×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	808	13639
1	2630	12924
0	8640	12598

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 494

Calls

Call 1

Inputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
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(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))) (/ (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 3)))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 3) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 3))) (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))))))) (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))) (/ (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 3)))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos eps) (sin eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos x) (sin x))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
(/ (+ 1 (* x (- (* x (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* x (- (* x (- (+ (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2))) 1/3)) (/ (cos eps) (sin eps))))) x)
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* eps (+ (* -1 (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))))) (pow (sin x) 2))) (/ (* (pow (cos x) 3) (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3)))))))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(/ (cos eps) (sin eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos x) (sin x))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))

Outputs
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
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(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
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(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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eps
(+ eps (* (pow eps 2) x))
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x
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(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
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(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
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(fma.f64 x (neg.f64 (fma.f64 x (fma.f64 (neg.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (sin.f64 eps))) (/.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (sin.f64 eps)))) (sin.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (sin.f64 eps))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(fma.f64 eps (neg.f64 (fma.f64 eps (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(fma.f64 eps (fma.f64 eps (neg.f64 (fma.f64 eps (-.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 x)))) (sin.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 x))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))

eval353.0ms (2.2%)

Memory: -4.6MiB live, 503.2MiB allocated
Compiler: Compiled 72 684 to 4 632 computations (93.6% saved)

prune218.0ms (1.4%)

Memory

32.8MiB live, 420.1MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	2 271	18	2 289
Fresh	8	6	14
Picked	2	3	5
Done	0	1	1
Total	2 281	28	2 309

Accuracy

100.0%

Counts

2 309 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	61.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (neg.f64 (tan.f64 x)))
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
✓	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	97.6%	(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
	98.4%	(fma.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
▶	98.5%	(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	98.5%	(fma.f64 eps (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	98.6%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	97.6%	(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
	97.6%	(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
▶	97.4%	(fma.f64 eps (*.f64 eps x) eps)
	62.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	61.6%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	31.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	97.3%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) #s(literal -1 binary64)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
✓	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.1%	(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
▶	61.2%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
▶	98.9%	(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
	5.6%	(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))

Compiler

Compiled 1 075 to 600 computations (44.2% saved)

simplify273.0ms (1.7%)

Memory

-24.5MiB live, 311.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x)
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	6464	(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	7616	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(fma.f64 eps (*.f64 eps x) eps)
✓	cost-diff	128	(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
✓	cost-diff	6272	(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
✓	cost-diff	12928	(+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))

Rules

9 292×	`lower-fma.f32`
9 278×	`lower-fma.f64`
4 148×	`lower-*.f32`
4 136×	`lower-*.f64`
1 936×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	318
0	77	318
1	130	312
2	276	303
3	776	296
4	2371	288
5	5750	288
6	7072	288
7	7550	288
8	7931	288
0	8068	279

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(sin.f64 x)
x
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)
(/.f64 eps (cos.f64 x))
eps
(cos.f64 x)
#s(literal 1 binary64)
(fma.f64 eps (*.f64 eps x) eps)
eps
(*.f64 eps x)
x
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 (+.f64 x eps))
(tan.f64 x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
eps
(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x)
(*.f64 x x)
x
(.f64 (fma.f64 x (.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64))
(*.f64 x #s(literal 61/120 binary64))
#s(literal 61/120 binary64)
#s(literal 5/6 binary64)
(/.f64 eps (cos.f64 x))
(cos.f64 x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(sin.f64 x)
x
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)
(/.f64 eps (cos.f64 x))
eps
(cos.f64 x)
#s(literal 1 binary64)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 eps eps) eps)
eps
(*.f64 eps x)
(*.f64 x eps)
x
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 (+.f64 x eps))
(tan.f64 x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (fma.f64 eps (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) eps)
eps
(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 eps (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))) eps) (/.f64 x (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x)
(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))) x)
(*.f64 x x)
x
(.f64 (fma.f64 x (.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64))
(*.f64 x #s(literal 61/120 binary64))
#s(literal 61/120 binary64)
#s(literal 5/6 binary64)
(/.f64 eps (cos.f64 x))
(cos.f64 x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))

localize252.0ms (1.6%)

Memory

17.8MiB live, 288.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (fma.f64 x (.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x)
✓	accuracy	99.4%	(*.f64 x #s(literal 61/120 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	accuracy	99.6%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	63.7%	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	100.0%	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	63.9%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps x) eps)
✓	accuracy	100.0%	(*.f64 eps x)
✓	accuracy	100.0%	(/.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

Samples

87.0ms	81×	1	valid
65.0ms	144×	0	valid
16.0ms	13×	3	valid
13.0ms	9×	5	exit
8.0ms	9×	2	valid

Compiler

Compiled 339 to 47 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 48.0ms (30.9% of total)

ival-sin: 23.0ms (14.8% of total)

adjust: 21.0ms (13.5% of total)

ival-div: 14.0ms (9% of total)

ival-add: 14.0ms (9% of total)

const: 11.0ms (7.1% of total)

ival-pow2: 10.0ms (6.4% of total)

ival-tan: 5.0ms (3.2% of total)

ival-cos: 5.0ms (3.2% of total)

ival-sub: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.3%)

Memory

14.3MiB live, 89.3MiB allocated

Counts

24 → 492

Calls

Call 1

Inputs
#<alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))>
#<alt (*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)>
#<alt (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps x) eps)>
#<alt (*.f64 eps x)>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))>
#<alt (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))>
#<alt (fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)>
#<alt (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x)>
#<alt (*.f64 x x)>
#<alt (pow.f64 (tan.f64 x) #s(literal 2 binary64))>
#<alt (/.f64 eps (cos.f64 x))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (*.f64 x #s(literal 61/120 binary64))>
#<alt (.f64 (fma.f64 x (.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x)>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps x)))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt x>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (/ (* (pow eps 2) (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps x)>
#<alt (* x (+ eps x))>
#<alt (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))>
#<alt (* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt eps>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* x (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (/ (* (sin eps) (- (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (* 1/3 (/ (cos eps) (sin eps))))) (cos eps)) (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2)))))) (+ (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (* (sin (+ eps x)) (- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))) (cos (+ eps x)))>
#<alt (/ (* (sin (+ eps x)) (- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))) (cos (+ eps x)))>
#<alt (/ (* (sin (+ eps x)) (- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))) (cos (+ eps x)))>
#<alt (/ (* (sin (+ eps x)) (- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))) (cos (+ eps x)))>
#<alt (/ (* (sin (- eps (* -1 x))) (- 1 (/ (* (cos (- eps (* -1 x))) (sin x)) (* (cos x) (sin (- eps (* -1 x))))))) (cos (- eps (* -1 x))))>
#<alt (/ (* (sin (- eps (* -1 x))) (- 1 (/ (* (cos (- eps (* -1 x))) (sin x)) (* (cos x) (sin (- eps (* -1 x))))))) (cos (- eps (* -1 x))))>
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#<alt (+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))>
#<alt (/ (cos x) (sin x))>
#<alt (+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (+ eps x)) (sin (+ eps x)))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>
#<alt (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))>
#<alt (* 61/120 (/ (* (pow eps 2) (pow x 5)) (cos x)))>
#<alt (* (pow x 5) (+ (* 61/120 (/ (pow eps 2) (cos x))) (* 5/6 (/ (pow eps 2) (* (pow x 2) (cos x))))))>
#<alt (* (pow x 5) (+ (* 61/120 (/ (pow eps 2) (cos x))) (+ (* 5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (/ (pow eps 2) (* (pow x 4) (cos x))))))>
#<alt (* (pow x 5) (+ (* 61/120 (/ (pow eps 2) (cos x))) (+ (* 5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (+ (/ eps (pow x 5)) (+ (/ (* eps (pow (sin x) 2)) (* (pow x 5) (pow (cos x) 2))) (/ (pow eps 2) (* (pow x 4) (cos x))))))))>
#<alt (* 61/120 (/ (* (pow eps 2) (pow x 5)) (cos x)))>
#<alt (* -1 (* (pow x 5) (+ (* -5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -61/120 (/ (pow eps 2) (cos x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (pow eps 2) (* (pow x 4) (cos x)))) (+ (* -5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -61/120 (/ (pow eps 2) (cos x)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (pow x 5))) (+ (* -1 (/ (pow eps 2) (* (pow x 4) (cos x)))) (+ (* -5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -61/120 (/ (pow eps 2) (cos x))))))))>
#<alt (* eps x)>
#<alt (* x (+ eps x))>
#<alt (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))>
#<alt (* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))>
#<alt (* 61/120 (/ (* eps (pow x 5)) (cos x)))>
#<alt (* (pow x 5) (+ (* 61/120 (/ eps (cos x))) (* 5/6 (/ eps (* (pow x 2) (cos x))))))>
#<alt (* (pow x 5) (+ (* 61/120 (/ eps (cos x))) (+ (* 5/6 (/ eps (* (pow x 2) (cos x)))) (/ eps (* (pow x 4) (cos x))))))>
#<alt (* (pow x 5) (+ (* 61/120 (/ eps (cos x))) (+ (* 5/6 (/ eps (* (pow x 2) (cos x)))) (+ (/ eps (* (pow x 4) (cos x))) (/ (pow (sin x) 2) (* (pow x 5) (pow (cos x) 2)))))))>
#<alt (* 61/120 (/ (* eps (pow x 5)) (cos x)))>
#<alt (* -1 (* (pow x 5) (+ (* -5/6 (/ eps (* (pow x 2) (cos x)))) (* -61/120 (/ eps (cos x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ eps (* (pow x 4) (cos x)))) (+ (* -5/6 (/ eps (* (pow x 2) (cos x)))) (* -61/120 (/ eps (cos x)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ eps (* (pow x 4) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* (pow x 5) (pow (cos x) 2)))) (+ (* -5/6 (/ eps (* (pow x 2) (cos x)))) (* -61/120 (/ eps (cos x))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x))))>
#<alt (* eps (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (/ (* eps (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
#<alt (* 61/120 (pow x 5))>
#<alt (* (pow x 5) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 61/120 (pow x 5))>
#<alt (* (pow x 5) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 5/6 (/ 1 (pow x 2))) (pow x 2))) 61/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 5/6 (/ 1 (pow x 2))) (pow x 2))) 61/120)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt eps>
#<alt (+ eps (* 1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))>
#<alt (+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 61/120 x)>
#<alt (* 5/6 x)>
#<alt (* x (+ 5/6 (* 61/120 (pow x 2))))>
#<alt (* x (+ 5/6 (* 61/120 (pow x 2))))>
#<alt (* x (+ 5/6 (* 61/120 (pow x 2))))>
#<alt (* 61/120 (pow x 3))>
#<alt (* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (* 61/120 (pow x 3))>
#<alt (* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>

Calls

123 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(+ (* eps (+ (* (+ (* (* x x) (* (+ (* x (* x 61/120)) 5/6) x)) x) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
4.0ms	eps	@	0	(* (- 1 (/ (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (tan (+ x eps)))
3.0ms	x	@	0	(+ (* eps (* eps x)) eps)
2.0ms	eps	@	inf	(+ (* eps (+ (* (+ (* (* x x) (* (+ (* x (* x 61/120)) 5/6) x)) x) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
1.0ms	eps	@	-inf	(* (- 1 (/ (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (tan (+ x eps)))

rewrite367.0ms (2.3%)

Memory

-40.3MiB live, 416.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 934×	`lower-/.f32`
3 922×	`lower-/.f64`
3 404×	`lower-*.f32`
3 392×	`lower-*.f64`
3 304×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	254
0	77	244
1	327	219
2	2892	219
0	8139	216

Stop Event

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

Counts

24 → 760

Calls

Call 1

Inputs
(+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 eps x) eps)
(*.f64 eps x)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x)
(*.f64 x x)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 eps (cos.f64 x))
(cos.f64 (+.f64 x eps))
(*.f64 x #s(literal 61/120 binary64))
(.f64 (fma.f64 x (.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

Outputs
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)))) (pow.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) eps) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x))) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) eps)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (/.f64 eps (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 eps (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (neg.f64 eps) (cos.f64 x)))
(/.f64 eps (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 x) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 x) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 eps) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 eps #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 eps #s(literal 1 binary64))) (neg.f64 (cos.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 eps (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 eps (cos.f64 x)))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))))
(cos.f64 (+.f64 x eps))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (cos.f64 (-.f64 x eps)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(*.f64 x #s(literal 61/120 binary64))
(*.f64 #s(literal 61/120 binary64) x)
(+.f64 (.f64 x #s(literal 5/6 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 61/120 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 61/120 binary64))) (.f64 x #s(literal 5/6 binary64)))
(+.f64 (.f64 #s(literal 5/6 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 61/120 binary64)) x))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 61/120 binary64)) x) (.f64 #s(literal 5/6 binary64) x))
(fma.f64 x #s(literal 5/6 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 61/120 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 61/120 binary64)) (*.f64 x #s(literal 5/6 binary64)))
(fma.f64 #s(literal 5/6 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 61/120 binary64)) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 61/120 binary64)) x (*.f64 #s(literal 5/6 binary64) x))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 226981/1728000 binary64)) #s(literal 125/216 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) (-.f64 #s(literal 25/36 binary64) (.f64 (*.f64 x x) #s(literal 61/144 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) #s(literal -25/36 binary64))) (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal -5/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 226981/1728000 binary64)) #s(literal 125/216 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) (-.f64 #s(literal 25/36 binary64) (.f64 (*.f64 x x) #s(literal 61/144 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) #s(literal -25/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal -5/6 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 226981/1728000 binary64)) #s(literal 125/216 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) (-.f64 #s(literal 25/36 binary64) (.f64 (*.f64 x x) #s(literal 61/144 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) #s(literal -25/36 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal -5/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 226981/1728000 binary64)) #s(literal 125/216 binary64)) x)) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) (-.f64 #s(literal 25/36 binary64) (.f64 (*.f64 x x) #s(literal 61/144 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3721/14400 binary64) #s(literal -25/36 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal -5/6 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 (/.f64 (cos.f64 (-.f64 x x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) #s(literal -2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))

simplify467.0ms (2.9%)

Memory

15.0MiB live, 689.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 012×	`lower-fma.f64`
10 012×	`lower-fma.f32`
7 330×	`lower-*.f64`
7 330×	`lower-*.f32`
5 100×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	10955
1	2499	10467
0	8407	10126

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 479

Calls

Call 1

Inputs
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
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(/ (cos x) (sin x))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(* 61/120 (/ (* (pow eps 2) (pow x 5)) (cos x)))
(* (pow x 5) (+ (* 61/120 (/ (pow eps 2) (cos x))) (* 5/6 (/ (pow eps 2) (* (pow x 2) (cos x))))))
(* (pow x 5) (+ (* 61/120 (/ (pow eps 2) (cos x))) (+ (* 5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (/ (pow eps 2) (* (pow x 4) (cos x))))))
(* (pow x 5) (+ (* 61/120 (/ (pow eps 2) (cos x))) (+ (* 5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (+ (/ eps (pow x 5)) (+ (/ (* eps (pow (sin x) 2)) (* (pow x 5) (pow (cos x) 2))) (/ (pow eps 2) (* (pow x 4) (cos x))))))))
(* 61/120 (/ (* (pow eps 2) (pow x 5)) (cos x)))
(* -1 (* (pow x 5) (+ (* -5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -61/120 (/ (pow eps 2) (cos x))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (pow eps 2) (* (pow x 4) (cos x)))) (+ (* -5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -61/120 (/ (pow eps 2) (cos x)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (pow x 5))) (+ (* -1 (/ (pow eps 2) (* (pow x 4) (cos x)))) (+ (* -5/6 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -61/120 (/ (pow eps 2) (cos x))))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(* 61/120 (/ (* eps (pow x 5)) (cos x)))
(* (pow x 5) (+ (* 61/120 (/ eps (cos x))) (* 5/6 (/ eps (* (pow x 2) (cos x))))))
(* (pow x 5) (+ (* 61/120 (/ eps (cos x))) (+ (* 5/6 (/ eps (* (pow x 2) (cos x)))) (/ eps (* (pow x 4) (cos x))))))
(* (pow x 5) (+ (* 61/120 (/ eps (cos x))) (+ (* 5/6 (/ eps (* (pow x 2) (cos x)))) (+ (/ eps (* (pow x 4) (cos x))) (/ (pow (sin x) 2) (* (pow x 5) (pow (cos x) 2)))))))
(* 61/120 (/ (* eps (pow x 5)) (cos x)))
(* -1 (* (pow x 5) (+ (* -5/6 (/ eps (* (pow x 2) (cos x)))) (* -61/120 (/ eps (cos x))))))
(* -1 (* (pow x 5) (+ (* -1 (/ eps (* (pow x 4) (cos x)))) (+ (* -5/6 (/ eps (* (pow x 2) (cos x)))) (* -61/120 (/ eps (cos x)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ eps (* (pow x 4) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* (pow x 5) (pow (cos x) 2)))) (+ (* -5/6 (/ eps (* (pow x 2) (cos x)))) (* -61/120 (/ eps (cos x))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (/ x (cos x)) (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x))))
(* eps (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (/ x (cos x)) (+ (/ (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2)))))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ x (* (pow x 3) (+ 5/6 (* 61/120 (pow x 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* 61/120 (pow x 5))
(* (pow x 5) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 61/120 (pow x 5))
(* (pow x 5) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 5/6 (/ 1 (pow x 2))) (pow x 2))) 61/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 5/6 (/ 1 (pow x 2))) (pow x 2))) 61/120)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
eps
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 61/120 x)
(* 5/6 x)
(* x (+ 5/6 (* 61/120 (pow x 2))))
(* x (+ 5/6 (* 61/120 (pow x 2))))
(* x (+ 5/6 (* 61/120 (pow x 2))))
(* 61/120 (pow x 3))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(* 61/120 (pow x 3))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 eps x #s(literal 1 binary64))
(+ 1 (* x (+ eps x)))
(fma.f64 x (+.f64 eps x) #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 #s(literal 4/3 binary64) x) #s(literal 1 binary64)) eps) #s(literal 1 binary64))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/.f64 (*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
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x
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(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
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(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
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eps
(+ eps (* (pow eps 2) x))
(fma.f64 eps (*.f64 eps x) eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
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(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
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(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
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(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
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(/ (* (pow eps 2) (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
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(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
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(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
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(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 x (+.f64 eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
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(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps))
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(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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eps
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eps
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(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(fma.f64 eps (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 61/120 x)
(*.f64 x #s(literal 61/120 binary64))
(* 5/6 x)
(*.f64 x #s(literal 5/6 binary64))
(* x (+ 5/6 (* 61/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))
(* x (+ 5/6 (* 61/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))
(* x (+ 5/6 (* 61/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)))
(* 61/120 (pow x 3))
(.f64 #s(literal 61/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x))))
(* 61/120 (pow x 3))
(.f64 #s(literal 61/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x))))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

eval198.0ms (1.2%)

Memory: -8.7MiB live, 355.2MiB allocated
Compiler: Compiled 46 491 to 3 836 computations (91.7% saved)

prune182.0ms (1.1%)

Memory

16.7MiB live, 291.0MiB allocated

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1 451	17	1 468
Fresh	6	13	19
Picked	3	2	5
Done	0	4	4
Total	1 460	36	1 496

Accuracy

100.0%

Counts

1 496 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
✓	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	97.6%	(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
	98.4%	(fma.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
▶	98.6%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	97.3%	(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
	97.6%	(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
	97.6%	(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
✓	97.4%	(fma.f64 eps (*.f64 eps x) eps)
	61.6%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	31.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	97.3%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) #s(literal -1 binary64)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
✓	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	61.8%	(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
	33.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
✓	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	98.9%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	61.5%	(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
	32.4%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
	61.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
	98.4%	(.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
	98.4%	(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
	98.5%	(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x x) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
	98.5%	(.f64 (+.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
	97.6%	(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
	97.2%	(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
	5.6%	(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
▶	8.0%	(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
▶	97.5%	(*.f64 #s(literal 1 binary64) eps)

Compiler

Compiled 1 379 to 780 computations (43.4% saved)

simplify255.0ms (1.6%)

Memory

-26.4MiB live, 336.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
✓	cost-diff	0	(sin.f64 (fma.f64 eps (/.f64 x eps) eps))
✓	cost-diff	0	(/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	cost-diff	896	(fma.f64 eps (/.f64 x eps) eps)
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) eps)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 eps (cos.f64 x))
✓	cost-diff	128	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
✓	cost-diff	13056	(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

Rules

8 590×	`lower-fma.f32`
8 584×	`lower-fma.f64`
3 690×	`lower-*.f32`
3 682×	`lower-*.f64`
1 534×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	186
0	53	179
1	82	179
2	202	162
3	579	162
4	1399	162
5	2468	162
6	3822	162
7	4892	162
8	6229	162
9	6946	162
0	8103	159

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (0.8%)

Memory

43.0MiB live, 157.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(sin.f64 (fma.f64 eps (/.f64 x eps) eps))
✓	accuracy	99.5%	(fma.f64 eps (/.f64 x eps) eps)
✓	accuracy	62.7%	(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	accuracy	99.8%	(tan.f64 (+.f64 x eps))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
✓	accuracy	100.0%	(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))
✓	accuracy	100.0%	(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Samples

48.0ms	86×	1	valid
39.0ms	167×	0	valid
6.0ms	3×	5	exit

Compiler

Compiled 195 to 32 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow2: 16.0ms (22.4% of total)

ival-mult: 14.0ms (19.6% of total)

ival-div: 9.0ms (12.6% of total)

ival-add: 7.0ms (9.8% of total)

ival-sin: 7.0ms (9.8% of total)

adjust: 6.0ms (8.4% of total)

ival-cos: 6.0ms (8.4% of total)

ival-tan: 4.0ms (5.6% of total)

ival-sub: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.5%)

Memory

-4.0MiB live, 38.6MiB allocated

Counts

20 → 384

Calls

Call 1

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

Outputs
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps x)))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt eps>
#<alt (+ eps (* 1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))>
#<alt (+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt (/ eps (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))>
#<alt eps>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))>
#<alt (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt x>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>

Calls

96 calls:

Time	Variable		Point	Expression
45.0ms	x	@	-inf	(+ (* (/ eps (cos x)) (* (+ (pow (tan x) 2) 1) (sin x))) (+ (pow (tan x) 2) 1))
17.0ms	x	@	-inf	(+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps)
1.0ms	x	@	inf	(+ (* (/ eps (cos x)) (* (+ (pow (tan x) 2) 1) (sin x))) (+ (pow (tan x) 2) 1))
1.0ms	eps	@	0	(+ (* (/ eps (cos x)) (* (+ (pow (tan x) 2) 1) (sin x))) (+ (pow (tan x) 2) 1))
1.0ms	eps	@	0	(+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps)

rewrite332.0ms (2.1%)

Memory

-11.9MiB live, 499.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 028×	`lower-*.f32`
5 020×	`lower-*.f64`
4 702×	`lower-/.f32`
4 694×	`lower-/.f64`
3 742×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	152
0	53	153
1	211	138
2	1626	134
0	8799	127

Stop Event

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

Counts

20 → 674

Calls

Call 1

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

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

simplify452.0ms (2.8%)

Memory

0.5MiB live, 790.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 436×	`lower-fma.f64`
11 436×	`lower-fma.f32`
7 150×	`lower-*.f64`
7 150×	`lower-*.f32`
4 438×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	5136
1	1194	4994
2	3649	4836
0	8617	4594

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 355

Calls

Call 1

Inputs
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
eps
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
(/ eps (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)

Outputs
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) #s(literal 1 binary64)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) #s(literal 1 binary64)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) #s(literal 1 binary64)))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) #s(literal 1 binary64))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
eps
(+ eps (* eps (pow x 2)))
(fma.f64 x (*.f64 x eps) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 eps #s(literal 2/45 binary64) (fma.f64 eps #s(literal -1/3 binary64) (.f64 eps #s(literal 2/3 binary64)))) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))) (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 eps (-.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) (.f64 eps #s(literal 1/6 binary64)) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))

eval145.0ms (0.9%)

Memory: 30.3MiB live, 258.8MiB allocated
Compiler: Compiled 31 613 to 2 938 computations (90.7% saved)

prune197.0ms (1.2%)

Memory

-19.8MiB live, 270.6MiB allocated

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	1 147	24	1 171
Fresh	7	18	25
Picked	4	1	5
Done	1	5	6
Total	1 159	48	1 207

Accuracy

100.0%

Counts

1 207 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
	98.9%	(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
	98.6%	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
	97.6%	(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	97.6%	(fma.f64 x (*.f64 x eps) eps)
	97.6%	(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
	98.2%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) eps)
	97.3%	(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
	97.6%	(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
	97.6%	(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
	97.6%	(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
✓	97.4%	(fma.f64 eps (*.f64 eps x) eps)
	61.6%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	31.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	97.3%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) #s(literal -1 binary64)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
✓	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.8%	(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
	33.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
✓	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.9%	(*.f64 (fma.f64 (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.8%	(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.7%	(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.4%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.5%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.6%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.6%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.4%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.5%	(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	98.6%	(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
	61.5%	(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
	32.4%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
	61.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
	98.6%	(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
	97.6%	(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
	97.2%	(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
	5.6%	(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
	3.6%	(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
	7.5%	(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
	7.5%	(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
	8.0%	(tan.f64 (+.f64 eps x))
	97.5%	eps

Compiler

Compiled 2 498 to 871 computations (65.1% saved)

regimes96.0ms (0.6%)

Memory

-8.5MiB live, 69.5MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(tan.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (+.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
(.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x x) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 eps (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) #s(literal -1 binary64)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))

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

Calls

3 calls:

44.0ms	x
28.0ms	eps
20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes74.0ms (0.5%)

Memory

6.6MiB live, 45.2MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(tan.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (+.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
(.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x x) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 eps (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)

Outputs
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)

Calls

3 calls:

34.0ms	x
19.0ms	eps
19.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes83.0ms (0.5%)

Memory

0.2MiB live, 38.5MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(tan.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (+.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
(.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x x) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 eps (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)

Outputs

(*.f64 (fma.f64 (/.f64 eps (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)

Calls

3 calls:

45.0ms	x
18.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	eps

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`eps`
98.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes62.0ms (0.4%)

Memory

26.1MiB live, 64.0MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(tan.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (+.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
(.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x x) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 eps (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)

Outputs

(*.f64 (fma.f64 (/.f64 eps (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)

Calls

3 calls:

26.0ms	eps
17.0ms	x
17.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`eps`
98.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes94.0ms (0.6%)

Memory

-12.0MiB live, 69.6MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(tan.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (+.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
(.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (.f64 x x) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 eps (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)

Outputs

(*.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)

Calls

3 calls:

44.0ms	x
31.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.0ms	eps

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`eps`
98.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes78.0ms (0.5%)

Memory

-17.4MiB live, 59.2MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(tan.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps (/.f64 x eps) eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (+.f64 (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))))) (tan.f64 x))
(.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x)))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))

Outputs
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)

Calls

3 calls:

33.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms	eps
15.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`eps`
98.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(.f64 (+.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64))) eps)
(tan.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))))
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (-.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 eps (/.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (cos.f64 x)) eps)
(.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Outputs
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)

Calls

3 calls:

7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps
7.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

-25.5MiB live, 17.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) eps)

Outputs
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)

Calls

3 calls:

23.0ms	x
3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	eps

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`eps`
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 x eps) eps)

Outputs
(fma.f64 x (*.f64 x eps) eps)

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`eps`
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.1b remaining (-3.8%)

Threshold costs -0.1b (-3.8%)

Counts

3 → 1

Calls

Call 1

Inputs
eps
(*.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (*.f64 eps x) eps)

Outputs
eps

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`eps`
97.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify7.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`
2×	`/-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	167
1	67	167

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 x eps) eps)
eps

Outputs
(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(*.f64 eps (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 eps (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 eps (fma.f64 (/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (/.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)
(.f64 eps (fma.f64 eps (.f64 (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 eps (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps)) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 x (*.f64 eps (+.f64 x eps)) eps)
(fma.f64 x (*.f64 x eps) eps)
eps

soundness1.4s (8.5%)

Memory

-17.7MiB live, 953.3MiB allocated

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
11 436×	`lower-fma.f64`
11 436×	`lower-fma.f32`
10 078×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	152
0	53	153
1	211	138
2	1626	134
0	8799	127
0	38	254
0	77	244
1	327	219
2	2892	219
0	8139	216
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	808	13639
1	2630	12924
0	8640	12598
0	393	5136
1	1194	4994
2	3649	4836
0	8617	4594
0	39	247
0	76	206
1	333	183
2	2796	183
0	9806	178
0	739	10955
1	2499	10467
0	8407	10126

Stop Event

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

Compiler

Compiled 376 to 177 computations (52.9% saved)

preprocess84.0ms (0.5%)

Memory: 4.4MiB live, 200.9MiB allocated
Compiler: Compiled 438 to 160 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

analyze42.0ms (0.3%)

sample6.5s (40.6%)

preprocess36.0ms (0.2%)

explain107.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize27.0ms (0.2%)

series14.0ms (0.1%)

rewrite302.0ms (1.9%)

simplify614.0ms (3.8%)

eval64.0ms (0.4%)

prune258.0ms (1.6%)

simplify987.0ms (6.1%)

localize194.0ms (1.2%)

series81.0ms (0.5%)

rewrite390.0ms (2.4%)

simplify487.0ms (3%)

eval353.0ms (2.2%)

prune218.0ms (1.4%)

simplify273.0ms (1.7%)

localize252.0ms (1.6%)

series50.0ms (0.3%)

rewrite367.0ms (2.3%)

simplify467.0ms (2.9%)

eval198.0ms (1.2%)

prune182.0ms (1.1%)

simplify255.0ms (1.6%)

localize131.0ms (0.8%)

series78.0ms (0.5%)

rewrite332.0ms (2.1%)

simplify452.0ms (2.8%)

eval145.0ms (0.9%)

prune197.0ms (1.2%)

regimes96.0ms (0.6%)

regimes74.0ms (0.5%)

regimes83.0ms (0.5%)

regimes62.0ms (0.4%)

regimes94.0ms (0.6%)

regimes78.0ms (0.5%)

regimes22.0ms (0.1%)

regimes30.0ms (0.2%)

regimes6.0ms (0%)

regimes5.0ms (0%)

simplify7.0ms (0%)

soundness1.4s (8.5%)

preprocess84.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18