Metrics for 2tan (problem 3.3.2)

analyze52.0ms (0.3%)

Memory

14.1MiB live, 92.8MiB 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)

sample6.3s (42%)

Memory

-172.8MiB live, 8 239.3MiB allocated

Samples

3.5s	25 796×	0	invalid
749.0ms	5 495×	0	valid
467.0ms	2 761×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-tan: 728.0ms (22.3% of total)

const: 670.0ms (20.5% of total)

ival-<=: 316.0ms (9.7% of total)

ival-fabs: 307.0ms (9.4% of total)

ival-add: 273.0ms (8.4% of total)

ival-mult: 263.0ms (8.1% of total)

ival-sub: 232.0ms (7.1% of total)

ival-<: 196.0ms (6% of total)

adjust: 115.0ms (3.5% of total)

ival-and: 100.0ms (3.1% of total)

exact: 44.0ms (1.3% of total)

ival-assert: 15.0ms (0.5% of total)

Bogosity

preprocess35.0ms (0.2%)

Memory

-14.4MiB live, 23.1MiB 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))

explain95.0ms (0.6%)

Memory

13.5MiB live, 132.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
215	3	(-3.2987504052846643e-59 1.4653485210506589e-61)	3	(2.576086226185578e-144 3.981146989605284e-146)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
1	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	215	5
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	213	3
-	3	37

Precision

0.9861111111111112

Recall

0.9861111111111112

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	213	3	0
-	3	2	35

Precision?

0.9773755656108597

Recall?

1.0

Freqs

test

number	freq
0	40
1	216

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms	352×	0	valid
15.0ms	150×	1	valid
8.0ms	8×	3	valid
1.0ms	2×	2	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-tan: 16.0ms (59.7% of total)

adjust: 4.0ms (14.9% of total)

ival-add: 3.0ms (11.2% of total)

ival-sub: 3.0ms (11.2% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB 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)

localize32.0ms (0.2%)

Memory

-27.5MiB live, 48.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.9%	(tan.f64 (+.f64 x eps))
✓	accuracy	64.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

9.0ms	75×	1	valid
8.0ms	176×	0	valid
4.0ms	4×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-tan: 8.0ms (60.7% of total)

adjust: 2.0ms (15.2% of total)

ival-add: 2.0ms (15.2% of total)

ival-sub: 1.0ms (7.6% of total)

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

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

series11.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB 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
2.0ms	eps	@	0	(- (tan (+ x eps)) (tan x))
2.0ms	eps	@	inf	(- (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))

rewrite305.0ms (2%)

Memory

1.5MiB live, 301.9MiB 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))

simplify378.0ms (2.5%)

Memory

-26.4MiB live, 604.3MiB 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))

eval74.0ms (0.5%)

Memory: 2.2MiB live, 78.0MiB allocated
Compiler: Compiled 8 624 to 983 computations (88.6% saved)

prune51.0ms (0.3%)

Memory

36.8MiB live, 78.9MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	320	16	336
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	320	17	337

Accuracy

99.9%

Counts

337 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	63.9%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
▶	99.3%	(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)
	98.9%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	64.0%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	36.3%	(/.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))))
	64.0%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	98.1%	(/.f64 (sin.f64 eps) (cos.f64 eps))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	64.0%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	63.0%	(-.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))
	63.2%	(-.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))
▶	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	64.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	37.1%	(-.f64 (tan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))) (tan.f64 x))
	64.0%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	62.9%	(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 601 to 344 computations (42.8% saved)

simplify376.0ms (2.5%)

Memory

-15.2MiB live, 455.7MiB 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	(/.f64 #s(literal 1 binary64) (-.f64 x eps))
✓	cost-diff	0	(tan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps))))
✓	cost-diff	0	(-.f64 (tan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))) (tan.f64 x))
✓	cost-diff	1728	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))
✓	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

16 062×	`lower-fma.f32`
16 054×	`lower-fma.f64`
4 034×	`lower-*.f32`
4 020×	`lower-*.f64`
2 270×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	343
0	82	303
1	154	297
2	357	279
3	1080	279
4	3846	273
5	7110	273
0	8150	267

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

localize322.0ms (2.1%)

Memory

44.1MiB live, 392.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	accuracy	63.8%	(-.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	57.2%	(/.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	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.9%	(sin.f64 (+.f64 x eps))
✓	accuracy	64.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
✓	accuracy	99.9%	(tan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 x eps))
✓	accuracy	64.1%	(-.f64 (tan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))) (tan.f64 x))
✓	accuracy	57.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))
✓	accuracy	100.0%	(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
✓	accuracy	99.9%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	64.4%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 3 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

98.0ms	11×	5	exit
78.0ms	79×	1	valid
74.0ms	166×	0	valid

Compiler

Compiled 351 to 48 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-tan: 88.0ms (40.1% of total)

adjust: 33.0ms (15% of total)

ival-mult: 33.0ms (15% of total)

ival-div: 19.0ms (8.6% of total)

ival-add: 8.0ms (3.6% of total)

ival-sub: 6.0ms (2.7% of total)

ival-pow: 6.0ms (2.7% of total)

ival-sin: 6.0ms (2.7% of total)

ival-pow2: 6.0ms (2.7% of total)

ival-neg: 5.0ms (2.3% of total)

ival-cos: 4.0ms (1.8% of total)

const: 4.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series87.0ms (0.6%)

Memory

-15.0MiB live, 103.7MiB allocated

Counts

26 → 528

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

132 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))
5.0ms	eps	@	0	(/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x))))
4.0ms	x	@	-inf	(/ 1 (cos (+ x eps)))
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)))

rewrite318.0ms (2.1%)

Memory

-6.8MiB live, 471.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 066×	`lower-/.f32`
4 050×	`lower-/.f64`
3 334×	`lower-fma.f32`
3 326×	`lower-fma.f64`
3 220×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	264
0	82	227
1	348	179
2	3071	179
0	8311	174

Stop Event

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

Counts

26 → 1 014

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

simplify533.0ms (3.5%)

Memory

-37.4MiB live, 595.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 436×	`lower-fma.f64`
9 436×	`lower-fma.f32`
7 686×	`lower-*.f64`
7 686×	`lower-*.f32`
4 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	839	12658
1	2687	12037
0	8448	11711

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 512

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

eval368.0ms (2.4%)

Memory: 19.5MiB live, 320.6MiB allocated
Compiler: Compiled 66 395 to 4 422 computations (93.3% saved)

prune361.0ms (2.4%)

Memory

-14.3MiB live, 317.7MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	2 077	11	2 088
Fresh	4	7	11
Picked	2	3	5
Done	0	1	1
Total	2 083	22	2 105

Accuracy

100.0%

Counts

2 105 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(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)
	64.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
✓	64.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	99.1%	(fma.f64 eps (fma.f64 (fma.f64 (.f64 x x) (.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)) 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)
	99.1%	(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)
▶	99.1%	(fma.f64 eps (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (.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)
	98.9%	(fma.f64 eps (/.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 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)
	98.4%	(fma.f64 eps (*.f64 x (+.f64 eps x)) eps)
▶	98.0%	(fma.f64 eps (*.f64 eps x) eps)
	36.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	64.0%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	16.2%	(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (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 (+.f64 x eps)) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (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))))))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	64.0%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	63.0%	(-.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))
▶	63.2%	(-.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))
✓	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	64.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	37.1%	(-.f64 (tan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))) (tan.f64 x))
▶	62.6%	(*.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)))
	64.0%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))

Compiler

Compiled 943 to 478 computations (49.3% saved)

simplify630.0ms (4.2%)

Memory

15.3MiB live, 382.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 5/6 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (.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))))
✓	cost-diff	6464	(fma.f64 eps (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (.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)
✓	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	(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)
✓	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 (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))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(fma.f64 eps (*.f64 eps x) eps)
✓	cost-diff	0	(sin.f64 x)
✓	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	6272	(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
✓	cost-diff	12800	(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)

Rules

14 034×	`lower-fma.f32`
14 014×	`lower-fma.f64`
3 396×	`lower-*.f32`
3 384×	`lower-*.f64`
2 090×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	318
0	80	312
1	152	303
2	346	297
3	979	290
4	2889	287
5	7186	287
0	8107	280

Stop Event

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

Calls

Call 1

Inputs
(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)
(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)
(fma.f64 eps (*.f64 eps x) eps)
eps
(*.f64 eps 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))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
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 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 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))
(*.f64 x x)
#s(literal 17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(.f64 x (.f64 x 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 x (.f64 #s(literal 5/6 binary64) (.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)
eps
(fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (.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))))
(fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)
x
(.f64 #s(literal 5/6 binary64) (.f64 x x))
#s(literal 5/6 binary64)
(*.f64 x x)
(/.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
(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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) (/.f64 (.f64 eps eps) (cos.f64 x)) 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 (/.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)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 x (*.f64 eps eps) eps)
eps
(*.f64 eps x)
(*.f64 x eps)
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 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
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 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(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))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(*.f64 x x)
#s(literal 17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(.f64 x (.f64 x 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 x (.f64 #s(literal 5/6 binary64) (.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)
(fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (fma.f64 eps (.f64 (.f64 x x) #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 x (.f64 #s(literal 5/6 binary64) (.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))))
(fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 x (.f64 (.f64 x x) #s(literal 5/6 binary64)) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 5/6 binary64)) x)
x
(.f64 #s(literal 5/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 5/6 binary64))
#s(literal 5/6 binary64)
(*.f64 x x)
(/.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))

localize194.0ms (1.3%)

Memory

-20.7MiB live, 335.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (.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))))
✓	accuracy	99.7%	(.f64 #s(literal 5/6 binary64) (.f64 x x))
✓	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	99.6%	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	64.3%	(-.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	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.8%	(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
✓	accuracy	64.3%	(-.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))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps x) eps)
✓	accuracy	100.0%	(*.f64 eps x)
✓	accuracy	100.0%	(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
✓	accuracy	100.0%	(/.f64 eps (cos.f64 x))
✓	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

64.0ms	175×	0	valid
57.0ms	76×	1	valid
9.0ms	4×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 343 to 51 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 26.0ms (25.3% of total)

ival-add: 16.0ms (15.5% of total)

const: 14.0ms (13.6% of total)

ival-tan: 10.0ms (9.7% of total)

ival-div: 10.0ms (9.7% of total)

adjust: 10.0ms (9.7% of total)

ival-pow2: 9.0ms (8.7% of total)

ival-sub: 3.0ms (2.9% of total)

ival-sin: 3.0ms (2.9% of total)

ival-cos: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory

20.0MiB live, 97.7MiB allocated

Counts

24 → 456

Calls

Call 1

Inputs
#<alt (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)>
#<alt (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))>
#<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 (sin.f64 x)>
#<alt (fma.f64 eps (*.f64 eps x) eps)>
#<alt (*.f64 eps x)>
#<alt (-.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))>
#<alt (tan.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (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)>
#<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 x (.f64 #s(literal 5/6 binary64) (.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)>
#<alt (fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (.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))))>
#<alt (fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)>
#<alt (.f64 #s(literal 5/6 binary64) (.f64 x x))>
#<alt (pow.f64 (tan.f64 x) #s(literal 2 binary64))>
#<alt (/.f64 eps (cos.f64 x))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))>
#<alt (.f64 x (.f64 x x))>
#<alt (pow.f64 (cos.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>

Outputs
#<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 (* 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 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)))>
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#<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 (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x))))>
#<alt (* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ 1 eps) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ 1 eps) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ 1 eps) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (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 (* 5/6 (/ (* (pow eps 2) (pow x 3)) (cos x)))>
#<alt (* (pow x 3) (+ (* 5/6 (/ (pow eps 2) (cos x))) (/ (pow eps 2) (* (pow x 2) (cos x)))))>
#<alt (* (pow x 3) (+ (* 5/6 (/ (pow eps 2) (cos x))) (+ (/ eps (pow x 3)) (+ (/ (* eps (pow (sin x) 2)) (* (pow x 3) (pow (cos x) 2))) (/ (pow eps 2) (* (pow x 2) (cos x)))))))>
#<alt (* (pow x 3) (+ (* 5/6 (/ (pow eps 2) (cos x))) (+ (/ eps (pow x 3)) (+ (/ (* eps (pow (sin x) 2)) (* (pow x 3) (pow (cos x) 2))) (/ (pow eps 2) (* (pow x 2) (cos x)))))))>
#<alt (* 5/6 (/ (* (pow eps 2) (pow x 3)) (cos x)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -5/6 (/ (pow eps 2) (cos x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (pow x 3))) (+ (* -1 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -5/6 (/ (pow eps 2) (cos x)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (pow x 3))) (+ (* -1 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -5/6 (/ (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 (* 5/6 (/ (* eps (pow x 3)) (cos x)))>
#<alt (* (pow x 3) (+ (* 5/6 (/ eps (cos x))) (/ eps (* (pow x 2) (cos x)))))>
#<alt (* (pow x 3) (+ (* 5/6 (/ eps (cos x))) (+ (/ eps (* (pow x 2) (cos x))) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2))))))>
#<alt (* (pow x 3) (+ (* 5/6 (/ eps (cos x))) (+ (/ eps (* (pow x 2) (cos x))) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2))))))>
#<alt (* 5/6 (/ (* eps (pow x 3)) (cos x)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ eps (* (pow x 2) (cos x)))) (* -5/6 (/ eps (cos x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ eps (* (pow x 2) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))) (* -5/6 (/ eps (cos x)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ eps (* (pow x 2) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))) (* -5/6 (/ eps (cos x)))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x))))>
#<alt (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (/ (* eps (+ x (* 5/6 (pow x 3)))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* 5/6 (pow x 3))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* 5/6 (pow x 3))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* 5/6 (pow x 3))) (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 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* 5/6 (pow x 3))>
#<alt (* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))>
#<alt (* 5/6 (pow x 3))>
#<alt (* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (pow x 2))>
#<alt (* 5/6 (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 (* 2/15 x)>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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)>
#<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

114 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(* (- 1 (/ (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (tan (+ x eps)))
3.0ms	eps	@	inf	(* (- 1 (/ (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (tan (+ x eps)))
2.0ms	x	@	inf	(* x (+ (* (* x x) 17/315) 2/15))
1.0ms	x	@	-inf	(+ (* (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) eps)
1.0ms	x	@	inf	(+ (* (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) eps)

rewrite338.0ms (2.2%)

Memory

-10.6MiB live, 502.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 004×	`lower-/.f32`
3 994×	`lower-/.f64`
3 650×	`lower-*.f32`
3 638×	`lower-*.f64`
3 440×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	244
0	80	238
1	359	213
2	3076	213
0	8537	210

Stop Event

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

Counts

24 → 643

Calls

Call 1

Inputs
(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)
(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.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)))
(sin.f64 x)
(fma.f64 eps (*.f64 eps x) eps)
(*.f64 eps 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))
(tan.f64 (+.f64 x eps))
(+.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)
(*.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 x (.f64 #s(literal 5/6 binary64) (.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)
(fma.f64 (fma.f64 x (.f64 #s(literal 5/6 binary64) (.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))))
(fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)
(.f64 #s(literal 5/6 binary64) (.f64 x x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 eps (cos.f64 x))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(.f64 x (.f64 x x))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

Outputs
(+.f64 eps (.f64 eps (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 eps (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)))) eps)
(-.f64 (/.f64 (pow.f64 (.f64 eps (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 eps (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))) (neg.f64 eps))) (/.f64 (.f64 eps eps) (fma.f64 eps (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))) (neg.f64 eps))))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps (.f64 eps (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 (.f64 eps (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 eps (.f64 eps (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)))))))
(fma.f64 eps (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))) eps)
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(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x #s(literal 2/15 binary64)))
(+.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x #s(literal 2/15 binary64)))) (/.f64 (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x #s(literal 2/15 binary64)))))
(fma.f64 x #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 17/315 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64))) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 #s(literal 17/315 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 #s(literal 2/15 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 17/315 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 17/315 binary64) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 17/315 binary64))) x (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (.f64 x #s(literal 17/315 binary64)) (.f64 x x) (*.f64 x #s(literal 2/15 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (*.f64 x #s(literal 2/15 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64))))) (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x #s(literal 2/15 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64)) #s(literal 8/3375 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64))) (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal -2/15 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64)) #s(literal 8/3375 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) x) (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal -2/15 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (*.f64 x #s(literal 2/15 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64))))) (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 17/315 binary64)))) (.f64 x #s(literal 2/15 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64)) #s(literal 8/3375 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal 34/4725 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal -2/15 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64)) #s(literal 8/3375 binary64)) x)) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal 34/4725 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal -2/15 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(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))
(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))

simplify436.0ms (2.9%)

Memory

8.2MiB live, 527.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 364×	`lower-fma.f64`
9 364×	`lower-fma.f32`
7 388×	`lower-*.f64`
7 388×	`lower-*.f32`
4 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	10202
1	2414	9756
0	8145	9449

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 441

Calls

Call 1

Inputs
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)))))
(* 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)))))
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)))
(+ (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)))
(* 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)))))))
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)
eps
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* eps x)))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* (pow eps 2) x))
(+ eps (* (pow eps 2) x))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(* x (+ (/ eps x) (pow eps 2)))
(* x (+ (/ eps x) (pow eps 2)))
(* (pow eps 2) x)
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps 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)))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315))
(* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
(- (/ (sin x) (cos x)) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
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(- 1 (/ (* (cos (- eps (* -1 x))) (sin x)) (* (cos x) (sin (- eps (* -1 x))))))
(- 1 (/ (* (cos (- eps (* -1 x))) (sin x)) (* (cos x) (sin (- eps (* -1 x))))))
(/ (* eps (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))
(* eps (+ (* eps (- (+ 1 (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))
(* eps (+ (* eps (- (+ 1 (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* eps (+ (* -1 (/ (* (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))))))) (sin x))) (+ (* -1 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x))) (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (sin x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))
(* eps (+ (* eps (- (+ 1 (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* eps (+ (* -1 (/ (* (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))))))) (sin x))) (+ (* -1 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (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))))))) (sin x))) (+ (* -1 (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x))) (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (sin x)))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (cos x) (+ (* -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))))) (sin x))) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (/ (* (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)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2)))))) (/ (* (cos x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (sin x)))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))
(- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))
(- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))
(- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))
(- 1 (/ (* (cos (+ eps x)) (sin x)) (* (cos x) (sin (+ eps x)))))
(- 1 (/ (* (cos (- x (* -1 eps))) (sin x)) (* (cos x) (sin (- x (* -1 eps))))))
(- 1 (/ (* (cos (- x (* -1 eps))) (sin x)) (* (cos x) (sin (- x (* -1 eps))))))
(- 1 (/ (* (cos (- x (* -1 eps))) (sin x)) (* (cos x) (sin (- x (* -1 eps))))))
(- 1 (/ (* (cos (- x (* -1 eps))) (sin x)) (* (cos x) (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))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x))))
(* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ 1 eps) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ 1 eps) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ 1 eps) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (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))))
(* 5/6 (/ (* (pow eps 2) (pow x 3)) (cos x)))
(* (pow x 3) (+ (* 5/6 (/ (pow eps 2) (cos x))) (/ (pow eps 2) (* (pow x 2) (cos x)))))
(* (pow x 3) (+ (* 5/6 (/ (pow eps 2) (cos x))) (+ (/ eps (pow x 3)) (+ (/ (* eps (pow (sin x) 2)) (* (pow x 3) (pow (cos x) 2))) (/ (pow eps 2) (* (pow x 2) (cos x)))))))
(* (pow x 3) (+ (* 5/6 (/ (pow eps 2) (cos x))) (+ (/ eps (pow x 3)) (+ (/ (* eps (pow (sin x) 2)) (* (pow x 3) (pow (cos x) 2))) (/ (pow eps 2) (* (pow x 2) (cos x)))))))
(* 5/6 (/ (* (pow eps 2) (pow x 3)) (cos x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -5/6 (/ (pow eps 2) (cos x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (pow x 3))) (+ (* -1 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -5/6 (/ (pow eps 2) (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (pow x 3))) (+ (* -1 (/ (pow eps 2) (* (pow x 2) (cos x)))) (* -5/6 (/ (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)))))))
(* 5/6 (/ (* eps (pow x 3)) (cos x)))
(* (pow x 3) (+ (* 5/6 (/ eps (cos x))) (/ eps (* (pow x 2) (cos x)))))
(* (pow x 3) (+ (* 5/6 (/ eps (cos x))) (+ (/ eps (* (pow x 2) (cos x))) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2))))))
(* (pow x 3) (+ (* 5/6 (/ eps (cos x))) (+ (/ eps (* (pow x 2) (cos x))) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2))))))
(* 5/6 (/ (* eps (pow x 3)) (cos x)))
(* -1 (* (pow x 3) (+ (* -1 (/ eps (* (pow x 2) (cos x)))) (* -5/6 (/ eps (cos x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ eps (* (pow x 2) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))) (* -5/6 (/ eps (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ eps (* (pow x 2) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))) (* -5/6 (/ eps (cos x)))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (/ x (cos x))))
(* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (* 5/6 (/ (pow x 3) (cos x))) (+ (/ x (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (+ x (* 5/6 (pow x 3)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ x (* 5/6 (pow x 3))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ x (* 5/6 (pow x 3))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ x (* 5/6 (pow x 3))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* 5/6 (pow x 2))))
(* 5/6 (pow x 3))
(* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))
(* 5/6 (pow x 3))
(* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 5/6 (/ 1 (pow x 2))))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (pow x 2))
(* 5/6 (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))
(* 2/15 x)
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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)
(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
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))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x (.f64 eps #s(literal 4/3 binary64))) eps) (*.f64 eps eps)) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (+ 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) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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)
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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)
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (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)
(* (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))))))
(.f64 (.f64 eps eps) (+.f64 (+.f64 (/.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))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps))))
(* (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))))))
(.f64 (.f64 eps eps) (+.f64 (+.f64 (/.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))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps))))
(* (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))))))
(.f64 (.f64 eps eps) (+.f64 (+.f64 (/.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))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
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(* (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)))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))))
(* (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)))))
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(* (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)))))
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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 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
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(+ (sin x) (/ (pow (sin x) 3) (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) (/ (pow (sin x) 3) (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) (/ (pow (sin x) 3) (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) (/ (pow (sin x) 3) (pow (cos x) 2)))
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(+ (sin x) (/ (pow (sin x) 3) (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) (/ (pow (sin x) 3) (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) (/ (pow (sin x) 3) (pow (cos x) 2)))
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(+ (sin x) (/ (pow (sin x) 3) (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))))
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 x (+.f64 eps x))
(* 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)))))))
(.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 (+ (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (/ (* 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (/ (* 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (/ (* 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (/ (* 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 (+ (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (/ (* 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 (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)))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(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))))
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(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)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(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))))
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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)))))
(.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.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)))))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.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)))))))
(* 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) (/ (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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* -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)))))))
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(* -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)))))))
(.f64 eps (+.f64 (/.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)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x 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 x (.f64 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)
eps
(* eps (+ 1 (* eps x)))
(fma.f64 eps (*.f64 eps x) eps)
(* eps (+ 1 (* eps x)))
(fma.f64 eps (*.f64 eps x) eps)
(* eps (+ 1 (* eps x)))
(fma.f64 eps (*.f64 eps x) eps)
(* (pow eps 2) x)
(.f64 (.f64 eps eps) x)
(* (pow eps 2) (+ x (/ 1 eps)))
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eps
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(* eps (+ 1 (/ x eps)))
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eps
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(.f64 (.f64 x x) (fma.f64 (*.f64 x 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 (.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 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))

eval192.0ms (1.3%)

Memory: 44.8MiB live, 343.5MiB allocated
Compiler: Compiled 49 285 to 3 450 computations (93% saved)

prune196.0ms (1.3%)

Memory

-10.4MiB live, 282.6MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1 400	14	1 414
Fresh	5	8	13
Picked	2	3	5
Done	0	4	4
Total	1 407	29	1 436

Accuracy

100.0%

Counts

1 436 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.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))) eps eps)
▶	99.1%	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
	99.0%	(fma.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))) eps eps)
	99.1%	(fma.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))) eps eps)
▶	99.3%	(fma.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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
	99.1%	(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/6 binary64) x) (*.f64 (/.f64 eps (cos.f64 x)) eps) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	64.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
✓	64.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	98.6%	(fma.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)) eps eps)
	98.4%	(fma.f64 (*.f64 x (+.f64 eps x)) eps eps)
✓	98.0%	(fma.f64 eps (*.f64 eps x) eps)
	36.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	52.2%	(/.f64 (.f64 (fma.f64 x (.f64 eps eps) eps) (-.f64 (.f64 eps (.f64 x eps)) eps)) (-.f64 (.f64 eps (.f64 x eps)) eps))
	64.0%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	16.2%	(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (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 (+.f64 x eps)) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (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))))))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	64.0%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	63.2%	(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
▶	63.0%	(-.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))
✓	63.2%	(-.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))
✓	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	64.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	37.1%	(-.f64 (tan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))) (tan.f64 x))
	98.0%	(+.f64 (.f64 eps (.f64 x eps)) eps)
	63.4%	(*.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)))
✓	62.6%	(*.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)))
	62.5%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps)))))) (tan.f64 (+.f64 x eps)))
▶	5.7%	(.f64 (.f64 eps eps) x)
▶	64.0%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))

Compiler

Compiled 1 166 to 601 computations (48.5% saved)

simplify310.0ms (2.1%)

Memory

0.5MiB live, 387.3MiB 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 (*.f64 x 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 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (-.f64 (+.f64 x eps) x))
✓	cost-diff	320	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	cost-diff	384	(-.f64 (+.f64 x eps) x)
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.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 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 eps (cos.f64 x))
✓	cost-diff	128	(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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	12928	(fma.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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)

Rules

13 362×	`lower-fma.f32`
13 346×	`lower-fma.f64`
3 686×	`lower-+.f32`
3 682×	`lower-+.f64`
3 322×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	287
0	74	277
1	137	272
2	298	265
3	951	261
4	2845	261
5	5700	261
0	8468	255

Stop Event

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

Calls

Call 1

Inputs
(fma.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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps 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)) (pow.f64 (tan.f64 x) #s(literal 2 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 (.f64 eps eps) x)
(*.f64 eps eps)
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))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
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)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(.f64 x (.f64 x x))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(sin.f64 (-.f64 (+.f64 x eps) x))
(-.f64 (+.f64 x eps) x)
(+.f64 x eps)
x
eps
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(cos.f64 x)
(cos.f64 (+.f64 x eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)
(*.f64 x x)
x
(.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64))
#s(literal 61/120 binary64)
#s(literal 5/6 binary64)
(/.f64 eps (cos.f64 x))
eps
(cos.f64 x)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)

Outputs
(fma.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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps 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)) (pow.f64 (tan.f64 x) #s(literal 2 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 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 (.f64 eps eps) x)
(.f64 eps (.f64 eps x))
(*.f64 eps eps)
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))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #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 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(.f64 x (.f64 x x))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(sin.f64 (-.f64 (+.f64 x eps) x))
(sin.f64 eps)
(-.f64 (+.f64 x eps) x)
eps
(+.f64 x eps)
(+.f64 eps x)
x
eps
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 x)
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 eps (fma.f64 eps (/.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64))) x) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64))) x) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)
(fma.f64 (.f64 x 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 (.f64 x 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 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64))
#s(literal 61/120 binary64)
#s(literal 5/6 binary64)
(/.f64 eps (cos.f64 x))
eps
(cos.f64 x)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)

localize193.0ms (1.3%)

Memory

-4.4MiB live, 200.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x)
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	accuracy	100.0%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	64.0%	(-.f64 (+.f64 x eps) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(tan.f64 (+.f64 x eps))
✓	accuracy	64.3%	(-.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))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.9%	(.f64 (.f64 eps eps) x)
✓	accuracy	100.0%	(/.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))
✓	accuracy	99.8%	(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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

Samples

54.0ms	74×	1	valid
51.0ms	155×	0	valid
18.0ms	14×	3	valid
11.0ms	13×	2	valid

Compiler

Compiled 308 to 47 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 27.0ms (26% of total)

ival-add: 20.0ms (19.2% of total)

const: 16.0ms (15.4% of total)

adjust: 13.0ms (12.5% of total)

ival-tan: 9.0ms (8.7% of total)

ival-cos: 6.0ms (5.8% of total)

ival-div: 4.0ms (3.8% of total)

ival-sub: 3.0ms (2.9% of total)

ival-sin: 3.0ms (2.9% of total)

ival-pow2: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.4%)

Memory

-10.3MiB live, 67.7MiB allocated

Counts

24 → 456

Calls

Call 1

Inputs
#<alt (fma.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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)>
#<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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 eps (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (.f64 (.f64 eps eps) x)>
#<alt (*.f64 eps eps)>
#<alt (-.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))>
#<alt (tan.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)>
#<alt (-.f64 (+.f64 x eps) x)>
#<alt (.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))>
#<alt (sin.f64 (-.f64 (+.f64 x eps) x))>
#<alt (fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)>
#<alt (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))>
#<alt (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)>
#<alt (*.f64 x x)>
#<alt (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))>
#<alt (pow.f64 (tan.f64 x) #s(literal 2 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))>
#<alt (.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x)>

Outputs
#<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 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos 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 (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (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) (+ 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* 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 (+ (/ (* (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)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))>
#<alt (* 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 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<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) (+ 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (/ (* 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)) (/ (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 (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<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 (* -2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15))>
#<alt (* (pow x 5) (- (/ (sin (+ eps x)) (* (pow x 5) (cos (+ eps x)))) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))>
#<alt (* -2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (+ 2/15 (+ (* -1 (/ (sin (- eps (* -1 x))) (* (pow x 5) (cos (- eps (* -1 x)))))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))>
#<alt (- (/ (sin x) (cos x)) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))>
#<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 (* 2/15 (pow x 2))))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))>
#<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 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 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))>
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin (neg (* -1 eps)))>
#<alt (sin (neg (* -1 eps)))>
#<alt (sin (neg (* -1 eps)))>
#<alt (sin (neg (* -1 eps)))>
#<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 (+ 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 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 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 (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 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/3>
#<alt (+ 1/3 (* 2/15 (pow x 2)))>
#<alt (+ 1/3 (* 2/15 (pow x 2)))>
#<alt (+ 1/3 (* 2/15 (pow x 2)))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow 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 (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (pow (cos x) 2)>
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<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)))))>

Calls

114 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(* (sin (- (+ x eps) x)) (/ 1 (* (cos x) (cos (+ x eps)))))
6.0ms	eps	@	-inf	(- (tan (+ x eps)) (+ (* (+ (* (* x x) 2/15) 1/3) (* x (* x x))) x))
5.0ms	x	@	inf	(* (+ (* (* x x) 61/120) 5/6) x)
2.0ms	x	@	inf	(+ (* (+ (* (/ eps (cos x)) (* (+ (pow (tan x) 2) 1) (sin x))) (pow (tan x) 2)) eps) eps)
2.0ms	x	@	-inf	(+ (* (+ (* (/ eps (cos x)) (* (+ (pow (tan x) 2) 1) (sin x))) (pow (tan x) 2)) eps) eps)

rewrite431.0ms (2.9%)

Memory

-3.3MiB live, 511.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 628×	`lower-*.f32`
6 612×	`lower-*.f64`
4 910×	`lower-fma.f32`
4 894×	`lower-fma.f64`
3 480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	224
0	74	216
1	313	213
2	2520	213
0	8963	210

Stop Event

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

Counts

24 → 640

Calls

Call 1

Inputs
(fma.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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps 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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 eps (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 eps eps) x)
(*.f64 eps eps)
(-.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))
(tan.f64 (+.f64 x eps))
(+.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 (+.f64 x eps) x)
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(sin.f64 (-.f64 (+.f64 x eps) x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)
(*.f64 x x)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(.f64 x (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))
(cos.f64 (+.f64 x eps))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x)

Outputs
(+.f64 eps (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (/.f64 (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 eps))) (/.f64 (.f64 eps eps) (fma.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 eps))))
(fma.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(fma.f64 (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 eps (.f64 eps eps) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 eps)) (-.f64 (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 eps eps))))
(/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 eps eps)) (fma.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (.f64 eps eps) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 eps eps))) (neg.f64 (fma.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 eps))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 eps (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 eps (.f64 eps eps) (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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)) #s(literal 1 binary64))))
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(.f64 (-.f64 (pow.f64 (.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 eps))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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)) #s(literal 1 binary64))) eps)
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.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 (.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 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))) (pow.f64 (tan.f64 x) #s(literal 2 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)) (pow.f64 (tan.f64 x) #s(literal 2 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)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (tan.f64 x) (tan.f64 x) (.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 2/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4/225 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 2/45 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 2/45 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 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 (sin.f64 (neg.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 (sin.f64 (neg.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 (sin.f64 (neg.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))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (+.f64 x (-.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64))
(*.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x)))) #s(literal 1/2 binary64))
(+.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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 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)

simplify452.0ms (3%)

Memory

0.7MiB live, 603.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 254×	`lower-fma.f64`
11 254×	`lower-fma.f32`
6 532×	`lower-*.f64`
6 532×	`lower-*.f32`
4 064×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	573	5993
1	1903	5872
2	6247	5721
0	8480	5459

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 419

Calls

Call 1

Inputs
(* 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 (/ (- (* -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 eps 2) (+ (* -1 (/ (- (* -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 eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos 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))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (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) (+ 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* 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 (+ (/ (* (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)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* 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 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* 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) (+ 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* 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)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* 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)) (/ (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)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(/ (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)))
(* -2/15 (pow x 5))
(* -1 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15))
(* (pow x 5) (- (/ (sin (+ eps x)) (* (pow x 5) (cos (+ eps x)))) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))
(* -2/15 (pow x 5))
(* -1 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (+ 2/15 (+ (* -1 (/ (sin (- eps (* -1 x))) (* (pow x 5) (cos (- eps (* -1 x)))))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
(- (/ (sin x) (cos x)) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* 2/15 (pow x 2))))))
(/ (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 (* 2/15 (pow x 2))))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
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 (+ 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 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)
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))))
(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 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/3
(+ 1/3 (* 2/15 (pow x 2)))
(+ 1/3 (* 2/15 (pow x 2)))
(+ 1/3 (* 2/15 (pow x 2)))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow 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)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* 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)))))

Outputs
(* 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 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (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 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (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 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
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(* (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))))))
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(* (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))))))
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(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
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(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
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(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
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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))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps x) #s(literal 4/3 binary64)) eps) (*.f64 eps eps)) eps)
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(/ (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)))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
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(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
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(* 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 (+ (/ (* (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 (+ (/ (* (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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(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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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)))))))
(.f64 x (fma.f64 x (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 4/3 binary64) (.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) eps))
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(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
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(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
eps
(+ eps (* 1/2 (* eps (pow x 2))))
(fma.f64 eps (.f64 (.f64 x x) #s(literal 1/2 binary64)) eps)
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
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(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
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(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
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(cos x)
(cos.f64 x)
(cos x)
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(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (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 (-.f64 (.f64 x (fma.f64 x (.f64 (sin.f64 eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))
(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 (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) #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 eps (.f64 (sin.f64 x) #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 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))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 x (neg.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps))) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 x (fma.f64 x (-.f64 (.f64 x (.f64 #s(literal 2/3 binary64) (sin.f64 eps))) (cos.f64 eps)) (sin.f64 (neg.f64 eps))) (cos.f64 eps))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (sin.f64 x) (.f64 eps (cos.f64 x))))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 eps (-.f64 (.f64 eps (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(fma.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) (.f64 eps (cos.f64 x))) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* 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 (.f64 x (*.f64 x x)) #s(literal 61/120 binary64))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 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 x) (.f64 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 x) (.f64 x (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x)))))
(* 61/120 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 61/120 binary64))
(* (pow x 3) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 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 x) (.f64 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 x) (.f64 x (+.f64 #s(literal 61/120 binary64) (/.f64 #s(literal 5/6 binary64) (.f64 x x)))))

eval194.0ms (1.3%)

Memory: 53.5MiB live, 426.3MiB allocated
Compiler: Compiled 51 044 to 3 258 computations (93.6% saved)

prune173.0ms (1.1%)

Memory

-19.9MiB live, 362.9MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 302	7	1 309
Fresh	11	6	17
Picked	3	2	5
Done	3	4	7
Total	1 319	19	1 338

Accuracy

100.0%

Counts

1 338 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (.f64 (.f64 x 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)))) eps eps)
	98.8%	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (.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 eps)
	98.6%	(fma.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)) eps eps)
	98.4%	(fma.f64 (*.f64 x (+.f64 eps x)) eps eps)
✓	98.0%	(fma.f64 eps (*.f64 eps x) eps)
	52.2%	(/.f64 (.f64 (fma.f64 x (.f64 eps eps) eps) (-.f64 (.f64 eps (.f64 x eps)) eps)) (-.f64 (.f64 eps (.f64 x eps)) eps))
	100.0%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	98.9%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	63.2%	(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
✓	63.0%	(-.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))
✓	63.2%	(-.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))
✓	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	64.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.0%	(+.f64 (.f64 eps (.f64 x eps)) eps)
	99.6%	(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	99.6%	(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	5.7%	(.f64 (.f64 eps x) eps)
✓	5.7%	(.f64 (.f64 eps eps) x)

Compiler

Compiled 1 322 to 408 computations (69.1% saved)

regimes53.0ms (0.4%)

Memory

-30.0MiB live, 86.3MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

Calls

3 calls:

23.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	eps
13.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes50.0ms (0.3%)

Memory

-1.2MiB live, 40.6MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))

Calls

3 calls:

6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs
(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))

Calls

3 calls:

6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-10.5MiB live, 29.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	eps

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)

regimes16.0ms (0.1%)

Memory

31.1MiB live, 31.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (*.f64 (*.f64 x 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)))) eps eps)

Calls

3 calls:

5.0ms	x
5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-10.1MiB live, 27.9MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x) (/.f64 eps (cos.f64 x)) (*.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 eps)

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-11.9MiB live, 26.8MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(.f64 (.f64 eps eps) x)
(.f64 (.f64 eps x) eps)
(fma.f64 eps (*.f64 eps x) eps)
(+.f64 (.f64 eps (.f64 x eps)) eps)
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps)
(fma.f64 (*.f64 x (+.f64 eps x)) 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 (.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 eps)
(/.f64 (.f64 (fma.f64 x (.f64 eps eps) eps) (-.f64 (.f64 eps (.f64 x eps)) eps)) (-.f64 (.f64 eps (.f64 x eps)) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) 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))
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))

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:

5.0ms	eps
4.0ms	x
4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 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)

regimes8.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`eps`
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-30.0MiB live, 12.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`eps`
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (.f64 eps eps) x)
(.f64 (.f64 eps x) eps)

Outputs
(.f64 (.f64 eps eps) x)

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
5.7%	1	`x`
5.7%	1	`eps`
5.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify7.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	170
1	79	170

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (7.3%)

Memory

25.9MiB live, 769.1MiB allocated

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
11 254×	`lower-fma.f64`
11 254×	`lower-fma.f32`
9 436×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	573	5993
1	1903	5872
2	6247	5721
0	8480	5459
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	839	12658
1	2687	12037
0	8448	11711
0	720	10202
1	2414	9756
0	8145	9449
0	42	264
0	82	227
1	348	179
2	3071	179
0	8311	174
0	6	16
0	10	16
1	50	16
2	402	16
3	6117	16
0	8095	16

Stop Event

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

Compiler

Compiled 508 to 252 computations (50.4% saved)

preprocess165.0ms (1.1%)

Memory: -0.2MiB live, 282.1MiB allocated
Compiler: Compiled 444 to 174 computations (60.8% 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

analyze52.0ms (0.3%)

sample6.3s (42%)

preprocess35.0ms (0.2%)

explain95.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize32.0ms (0.2%)

series11.0ms (0.1%)

rewrite305.0ms (2%)

simplify378.0ms (2.5%)

eval74.0ms (0.5%)

prune51.0ms (0.3%)

simplify376.0ms (2.5%)

localize322.0ms (2.1%)

series87.0ms (0.6%)

rewrite318.0ms (2.1%)

simplify533.0ms (3.5%)

eval368.0ms (2.4%)

prune361.0ms (2.4%)

simplify630.0ms (4.2%)

localize194.0ms (1.3%)

series47.0ms (0.3%)

rewrite338.0ms (2.2%)

simplify436.0ms (2.9%)

eval192.0ms (1.3%)

prune196.0ms (1.3%)

simplify310.0ms (2.1%)

localize193.0ms (1.3%)

series56.0ms (0.4%)

rewrite431.0ms (2.9%)

simplify452.0ms (3%)

eval194.0ms (1.3%)

prune173.0ms (1.1%)

regimes53.0ms (0.4%)

regimes50.0ms (0.3%)

regimes19.0ms (0.1%)

regimes24.0ms (0.2%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

simplify7.0ms (0%)

soundness1.1s (7.3%)

preprocess165.0ms (1.1%)

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