Metrics for 2tan (problem 3.3.2)

analyze161.0ms (1%)

Memory

-12.3MiB live, 63.8MiB 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)

sample6.8s (40.7%)

Memory

-134.3MiB live, 8 224.1MiB allocated

Samples

3.6s	26 270×	0	invalid
1.1s	5 548×	0	valid
490.0ms	2 708×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-tan: 851.0ms (24.5% of total)

const: 712.0ms (20.5% of total)

ival-sub: 493.0ms (14.2% of total)

ival-mult: 332.0ms (9.6% of total)

ival-<=: 231.0ms (6.6% of total)

ival-fabs: 227.0ms (6.5% of total)

ival-<: 205.0ms (5.9% of total)

ival-add: 194.0ms (5.6% of total)

ival-and: 94.0ms (2.7% of total)

adjust: 80.0ms (2.3% of total)

exact: 43.0ms (1.2% of total)

ival-assert: 12.0ms (0.3% of total)

Bogosity

preprocess29.0ms (0.2%)

Memory

-9.2MiB live, 38.0MiB 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))

explain90.0ms (0.5%)

Memory

22.8MiB live, 138.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
225	3	(2.661209049171987e-232 7.518694173604587e-235)	8	(1.4542541877367014e-8 4.0808401162852303e-10)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5	0	-	2	(-56.77223711761131 5.564105210747381e-14)	`(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	220	8
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	3	2

Confusion

	Predicted +	Predicted -
+	218	7
-	3	28

Precision

0.9864253393665159

Recall

0.9688888888888889

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	218	7	0
-	3	0	28

Precision?

0.9868421052631579

Recall?

1.0

Freqs

test

number	freq
0	35
1	219
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms	164×	1	valid
18.0ms	342×	0	valid
2.0ms	2×	2	valid
2.0ms	4×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-tan: 13.0ms (47.6% of total)

adjust: 8.0ms (29.3% of total)

ival-add: 3.0ms (11% of total)

ival-sub: 3.0ms (11% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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
▶	63.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.1%)

Memory

-27.9MiB live, 12.6MiB 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)

localize28.0ms (0.2%)

Memory

1.2MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

9.0ms	171×	0	valid
8.0ms	82×	1	valid
1.0ms	1×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-tan: 6.0ms (52.3% of total)

adjust: 2.0ms (17.4% of total)

ival-add: 2.0ms (17.4% of total)

ival-sub: 2.0ms (17.4% of total)

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

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

series11.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB 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 (tan.f64 x)>
#<alt (+.f64 x eps)>

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 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))>
#<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)))>

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))

rewrite300.0ms (1.8%)

Memory

-22.5MiB live, 311.2MiB 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))
(tan.f64 x)
(+.f64 x eps)

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

simplify401.0ms (2.4%)

Memory

29.3MiB live, 492.4MiB 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	1536	1274
3	5963	1242
0	8551	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))))
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))
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)))

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

eval40.0ms (0.2%)

Memory: -1.5MiB live, 71.4MiB allocated
Compiler: Compiled 8 624 to 985 computations (88.6% saved)

prune59.0ms (0.4%)

Memory

-15.8MiB live, 117.3MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

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

Accuracy

99.9%

Counts

337 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	64.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	98.9%	(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
▶	99.8%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.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 #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 (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)
	99.5%	(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)
▶	98.3%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	64.1%	(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	63.2%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	62.9%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	35.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 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))))
	63.8%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	97.3%	(/.f64 (sin.f64 eps) (cos.f64 eps))
	64.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
▶	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x))
▶	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	63.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 1 181 to 508 computations (57% saved)

simplify380.0ms (2.3%)

Memory

56.3MiB live, 549.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	320	(*.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	14400	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) 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 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
✓	cost-diff	0	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.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 #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 (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)
✓	cost-diff	192	(+.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))))
✓	cost-diff	26816	(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)))
✓	cost-diff	79744	(fma.f64 eps (fma.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 #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 (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))))))

Rules

14 430×	`lower-fma.f32`
14 412×	`lower-fma.f64`
6 762×	`lower-+.f32`
6 754×	`lower-+.f64`
3 734×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1038
0	102	1020
1	214	872
2	575	750
3	1972	750
0	8168	732

Stop Event

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

Calls

Call 1

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

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

localize322.0ms (1.9%)

Memory

-17.1MiB live, 524.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.6%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	99.4%	(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	64.1%	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
✓	accuracy	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	64.8%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
✓	accuracy	99.9%	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
✓	accuracy	99.8%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.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 #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 (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))))
✓	accuracy	99.4%	(*.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)))
✓	accuracy	98.5%	(+.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))))

Samples

94.0ms	87×	1	valid
85.0ms	164×	0	valid
7.0ms	4×	3	valid
6.0ms	1×	2	valid

Compiler

Compiled 1 083 to 62 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 40.0ms (27.2% of total)

ival-add: 22.0ms (15% of total)

ival-div: 18.0ms (12.2% of total)

adjust: 14.0ms (9.5% of total)

ival-pow: 10.0ms (6.8% of total)

ival-sin: 10.0ms (6.8% of total)

const: 9.0ms (6.1% of total)

ival-tan: 6.0ms (4.1% of total)

ival-pow2: 6.0ms (4.1% of total)

ival-sub: 6.0ms (4.1% of total)

ival-cos: 5.0ms (3.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series77.0ms (0.5%)

Memory

-13.1MiB live, 123.2MiB allocated

Counts

19 → 336

Calls

Call 1

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

Outputs
#<alt -1/3>
#<alt (- (* -1/3 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 4/9 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 4/9 (* 17/45 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 17/45 (* 248/945 (pow x 2))))))))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<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 (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (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) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (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) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (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) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
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#<alt (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))>
#<alt eps>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))>
#<alt (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (/ (sin eps) x)>
#<alt (/ (+ (sin eps) (* (pow x 2) (- (+ (sin eps) (* -1/2 (sin eps))) (* 1/3 (sin eps))))) x)>
#<alt (/ (+ (sin eps) (* (pow x 2) (- (+ (sin eps) (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) (+ (* -1/2 (cos eps)) (* 1/3 (cos eps))))))) (* 1/3 (sin eps))))) x)>
#<alt (/ (+ (sin eps) (* (pow x 2) (- (+ (sin eps) (+ (* -1/2 (sin eps)) (* x (- (+ (* -1/6 (cos eps)) (* x (- (+ (* -1/6 (sin eps)) (* 1/24 (sin eps))) (+ (* 2/15 (sin eps)) (* 1/3 (- (* -1/2 (sin eps)) (* 1/3 (sin eps)))))))) (+ (* -1/2 (cos eps)) (* 1/3 (cos eps))))))) (* 1/3 (sin eps))))) x)>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))>
#<alt (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))>
#<alt (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))>
#<alt (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (+ (* (pow eps 2) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (/ (pow (cos x) 2) (sin x)))))>
#<alt (* eps (+ (sin x) (+ (* (pow eps 2) (+ (* -1/6 (sin x)) (+ (* -1/6 (/ (pow (cos x) 2) (sin x))) (* (pow eps 2) (+ (* 1/120 (sin x)) (* 1/120 (/ (pow (cos x) 2) (sin x)))))))) (/ (pow (cos x) 2) (sin x)))))>
#<alt (* eps (+ (sin x) (+ (* (pow eps 2) (+ (* -1/6 (sin x)) (+ (* -1/6 (/ (pow (cos x) 2) (sin x))) (* (pow eps 2) (+ (* 1/120 (sin x)) (+ (* 1/120 (/ (pow (cos x) 2) (sin x))) (* (pow eps 2) (+ (* -1/5040 (sin x)) (* -1/5040 (/ (pow (cos x) 2) (sin x))))))))))) (/ (pow (cos x) 2) (sin x)))))>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))>
#<alt (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))>
#<alt (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))>
#<alt (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))>
#<alt (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))>
#<alt (/ (sin eps) x)>
#<alt (/ (+ (sin eps) (* x (cos eps))) x)>
#<alt (/ (+ (sin eps) (* x (+ (cos eps) (* x (- (* -1/2 (sin eps)) (* 1/3 (sin eps))))))) x)>
#<alt (/ (+ (sin eps) (* x (+ (cos eps) (* x (- (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) (* 1/3 (cos eps))))) (* 1/3 (sin eps))))))) x)>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))>
#<alt (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))>
#<alt (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))>
#<alt (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))>
#<alt (cos x)>
#<alt (+ (cos x) (/ (* eps (pow (cos x) 2)) (sin x)))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (* eps (cos x))) (/ (pow (cos x) 2) (sin x)))))>
#<alt (+ (cos x) (* eps (+ (* eps (+ (* -1/2 (cos x)) (* -1/6 (/ (* eps (pow (cos x) 2)) (sin x))))) (/ (pow (cos x) 2) (sin x)))))>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))>
#<alt (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))>
#<alt (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))>
#<alt (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (/ (sin eps) (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 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (/ (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 x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 3)) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))>
#<alt (* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2)) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2)) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (* 1/6 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))))) (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>

Calls

84 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(- (* (sin (+ x eps)) (/ 1 (tan x))) (* (cos (+ x eps)) 1))
7.0ms	x	@	inf	(+ (* eps (+ (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
5.0ms	x	@	-inf	(+ (* eps (+ (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
5.0ms	eps	@	-inf	(+ (* eps (+ (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
4.0ms	x	@	inf	(+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps)

rewrite393.0ms (2.3%)

Memory

18.9MiB live, 482.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 166×	`lower-*.f32`
5 154×	`lower-*.f64`
4 622×	`lower-fma.f32`
4 606×	`lower-fma.f64`
2 286×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	322
0	99	286
1	490	212
2	4756	212
0	8139	202

Stop Event

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

Counts

19 → 563

Calls

Call 1

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

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

simplify441.0ms (2.6%)

Memory

28.3MiB live, 596.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 814×	`lower-fma.f64`
10 814×	`lower-fma.f32`
6 672×	`lower-*.f64`
6 672×	`lower-*.f32`
4 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	7182
1	2096	7000
2	7338	6964
0	8148	6669

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

Calls

Call 1

Inputs
-1/3
(- (* -1/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(* 1/3 x)
(* x (+ 1/3 (* 4/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* 17/45 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 17/45 (* 248/945 (pow x 2))))))))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/ (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 (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (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) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
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(/ (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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (sin eps) x)
(/ (+ (sin eps) (* (pow x 2) (- (+ (sin eps) (* -1/2 (sin eps))) (* 1/3 (sin eps))))) x)
(/ (+ (sin eps) (* (pow x 2) (- (+ (sin eps) (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) (+ (* -1/2 (cos eps)) (* 1/3 (cos eps))))))) (* 1/3 (sin eps))))) x)
(/ (+ (sin eps) (* (pow x 2) (- (+ (sin eps) (+ (* -1/2 (sin eps)) (* x (- (+ (* -1/6 (cos eps)) (* x (- (+ (* -1/6 (sin eps)) (* 1/24 (sin eps))) (+ (* 2/15 (sin eps)) (* 1/3 (- (* -1/2 (sin eps)) (* 1/3 (sin eps)))))))) (+ (* -1/2 (cos eps)) (* 1/3 (cos eps))))))) (* 1/3 (sin eps))))) x)
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))
(- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))
(- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))
(- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (+ (* (pow eps 2) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (/ (pow (cos x) 2) (sin x)))))
(* eps (+ (sin x) (+ (* (pow eps 2) (+ (* -1/6 (sin x)) (+ (* -1/6 (/ (pow (cos x) 2) (sin x))) (* (pow eps 2) (+ (* 1/120 (sin x)) (* 1/120 (/ (pow (cos x) 2) (sin x)))))))) (/ (pow (cos x) 2) (sin x)))))
(* eps (+ (sin x) (+ (* (pow eps 2) (+ (* -1/6 (sin x)) (+ (* -1/6 (/ (pow (cos x) 2) (sin x))) (* (pow eps 2) (+ (* 1/120 (sin x)) (+ (* 1/120 (/ (pow (cos x) 2) (sin x))) (* (pow eps 2) (+ (* -1/5040 (sin x)) (* -1/5040 (/ (pow (cos x) 2) (sin x))))))))))) (/ (pow (cos x) 2) (sin x)))))
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))
(- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))
(- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))
(- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))
(- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))
(/ (sin eps) x)
(/ (+ (sin eps) (* x (cos eps))) x)
(/ (+ (sin eps) (* x (+ (cos eps) (* x (- (* -1/2 (sin eps)) (* 1/3 (sin eps))))))) x)
(/ (+ (sin eps) (* x (+ (cos eps) (* x (- (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) (* 1/3 (cos eps))))) (* 1/3 (sin eps))))))) x)
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))
(/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))
(/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))
(/ (* (cos x) (sin (- eps (* -1 x)))) (sin x))
(cos x)
(+ (cos x) (/ (* eps (pow (cos x) 2)) (sin x)))
(+ (cos x) (* eps (+ (* -1/2 (* eps (cos x))) (/ (pow (cos x) 2) (sin x)))))
(+ (cos x) (* eps (+ (* eps (+ (* -1/2 (cos x)) (* -1/6 (/ (* eps (pow (cos x) 2)) (sin x))))) (/ (pow (cos x) 2) (sin x)))))
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (+ eps x))) (sin x))
(/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))
(/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))
(/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))
(/ (* (cos x) (sin (- x (* -1 eps)))) (sin x))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ (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 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (/ (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 x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- eps (* -1 x)))) (sin x)) (cos (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))
(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 3)) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2)) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2)) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (* 1/6 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))))) (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- (* -1/3 (pow x 2)) 1/3)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/9 binary64)) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/135 binary64) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 4/9 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 4/9 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/45 binary64)) #s(literal 4/9 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 17/45 (* 248/945 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 248/945 binary64) #s(literal 17/45 binary64)) #s(literal 4/9 binary64)) #s(literal 1/3 binary64)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(/ (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)) (pow.f64 (/.f64 (sin.f64 x) (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 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (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 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (/.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)) (pow.f64 (/.f64 (sin.f64 x) (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 (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (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) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
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(* 1/3 (pow eps 2))
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(.f64 eps (fma.f64 eps (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2)) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2)) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (* 1/6 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))))) (/ (* (sin x) (+ (* -1/6 (sin x)) (* -1/6 (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))))) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (+ eps x))) (sin x)) (cos (+ eps x)))) (* (cos x) (cos (+ eps x))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/ (* (sin x) (- (/ (* (cos x) (sin (- x (* -1 eps)))) (sin x)) (cos (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (cos eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (cos.f64 eps) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin x)
(sin.f64 x)
(+ (sin x) (* eps (cos x)))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) (sin.f64 x))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))

eval537.0ms (3.2%)

Memory: -28.9MiB live, 605.8MiB allocated
Compiler: Compiled 176 217 to 6 241 computations (96.5% saved)

prune386.0ms (2.3%)

Memory

14.6MiB live, 340.5MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 884	21	1 905
Fresh	6	8	14
Picked	5	0	5
Done	0	1	1
Total	1 895	30	1 925

Accuracy

100.0%

Counts

1 925 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
	64.1%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	64.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	97.3%	(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
	63.7%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	97.4%	(fma.f64 x (*.f64 x eps) eps)
▶	99.8%	(fma.f64 eps (fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (tan.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (cos.f64 x))) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (/.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
	97.4%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
▶	97.5%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	97.2%	(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	99.5%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (/.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)) (pow.f64 (/.f64 (sin.f64 x) (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)
	98.9%	(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (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)
	98.3%	(fma.f64 eps (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	97.3%	(fma.f64 eps (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) x) x) eps)
	97.3%	(fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))) eps)
▶	97.4%	(fma.f64 eps (*.f64 x x) eps)
	97.3%	(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
	51.4%	(/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (neg.f64 (.f64 eps eps))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps (neg.f64 eps)))
	64.1%	(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	61.4%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	29.3%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))))
	35.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 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))))
	99.6%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	98.9%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	63.8%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	64.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x))
▶	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	63.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 1 579 to 762 computations (51.7% saved)

simplify649.0ms (3.9%)

Memory

0.5MiB live, 394.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
✓	cost-diff	0	(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
✓	cost-diff	320	(*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	384	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
✓	cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	cost-diff	640	(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (*.f64 x #s(literal 4/3 binary64)) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 eps (*.f64 x x) eps)
✓	cost-diff	6272	(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
✓	cost-diff	6848	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
✓	cost-diff	13312	(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))
✓	cost-diff	27840	(fma.f64 eps (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (tan.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (cos.f64 x))) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))))

Rules

15 602×	`lower-fma.f32`
15 574×	`lower-fma.f64`
5 104×	`lower-+.f32`
5 096×	`lower-+.f64`
3 624×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	909
0	113	909
1	245	833
2	628	721
3	2055	675
4	7496	675
0	8160	641

Stop Event

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

Calls

Call 1

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

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

localize566.0ms (3.4%)

Memory

8.4MiB live, 643.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.6%	(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
✓	accuracy	99.6%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	100.0%	(/.f64 (cos.f64 x) (sin.f64 x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	accuracy	100.0%	(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (*.f64 x #s(literal 4/3 binary64)) x))
✓	accuracy	99.8%	(fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	99.4%	(*.f64 x #s(literal 4/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 eps (*.f64 x x) eps)
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (tan.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (cos.f64 x))) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (/.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
✓	accuracy	54.3%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))

Samples

421.0ms	239×	1	valid
8.0ms	13×	0	valid
6.0ms	3×	3	valid
3.0ms	1×	2	valid

Compiler

Compiled 976 to 70 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-mult: 162.0ms (50.4% of total)

adjust: 34.0ms (10.6% of total)

ival-add: 34.0ms (10.6% of total)

ival-div: 24.0ms (7.5% of total)

ival-cos: 21.0ms (6.5% of total)

const: 16.0ms (5% of total)

ival-tan: 10.0ms (3.1% of total)

ival-pow2: 9.0ms (2.8% of total)

ival-sub: 6.0ms (1.9% of total)

ival-sin: 4.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.5%)

Memory

-40.4MiB live, 141.5MiB allocated

Counts

18 → 336

Calls

Call 1

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

Outputs
#<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 (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 5/18 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 5/18 (* 61/360 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 5/18 (* (pow x 2) (+ 61/360 (* 277/3024 (pow x 2))))))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))>
#<alt (* 1/3 (+ (sin x) (/ (pow (sin x) 3) (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 (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* eps (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)) (+ (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* eps (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)) (+ (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* eps (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
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#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ eps (cos eps))>
#<alt (+ (/ eps (cos eps)) (/ (* eps (* x (sin eps))) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (cos eps))) (+ (* -1/2 (/ (* eps (sin eps)) (pow (cos eps) 2))) (* 1/6 (/ (* eps (sin eps)) (pow (cos eps) 2))))))) (* 1/2 (/ eps (cos eps)))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (/ eps x)>
#<alt (/ (+ eps (* 1/6 (* eps (pow x 2)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 7/360 (* eps (pow x 2))) (* 1/6 eps)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 31/15120 (* eps (pow x 2))) (* 7/360 eps)))))) x)>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (/ (cos eps) x)>
#<alt (/ (+ (cos eps) (* -1 (* x (sin eps)))) x)>
#<alt (/ (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (- (* -1/2 (cos eps)) (* 1/3 (cos eps))))))) x)>
#<alt (/ (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (- (+ (* -1/2 (cos eps)) (* x (- (* 1/6 (sin eps)) (* -1/3 (sin eps))))) (* 1/3 (cos eps))))))) x)>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))>
#<alt (/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))>
#<alt (/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))>
#<alt (/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))>
#<alt (/ (pow (cos x) 2) (sin x))>
#<alt (+ (* -1 (* eps (cos x))) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (* eps (+ (* -1 (cos x)) (* -1/2 (/ (* eps (pow (cos x) 2)) (sin x))))) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (* eps (+ (* -1 (cos x)) (* eps (+ (* -1/2 (/ (pow (cos x) 2) (sin x))) (* 1/6 (* eps (cos x))))))) (/ (pow (cos x) 2) (sin x)))>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (+ eps x))) (sin x))>
#<alt (/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))>
#<alt (/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))>
#<alt (/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))>
#<alt (/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))>

Calls

84 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(/ (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (* (cos (+ x eps)) (/ 1 (tan x))))
8.0ms	x	@	-inf	(+ (* (+ (* eps (+ (* eps (+ (* (- (/ (+ (* (- 1/2 (* 1/2 (cos (+ x x)))) (pow (tan x) 2)) (- 1/2 (* 1/2 (cos (+ x x))))) (+ 1/2 (* 1/2 (cos (+ x x))))) (+ (* (pow (tan x) 2) -1/3) -1/3)) (tan x)) (/ (* 1/3 (+ (* (sin x) (pow (tan x) 2)) (sin x))) (cos x)))) (- (/ (+ (* (- 1/2 (* 1/2 (cos (+ x x)))) (pow (tan x) 2)) (- 1/2 (* 1/2 (cos (+ x x))))) (+ 1/2 (* 1/2 (cos (+ x x))))) (+ (* (pow (tan x) 2) -1/3) -1/3)))) (/ (+ (* (sin x) (pow (tan x) 2)) (sin x)) (cos x))) eps) (pow (tan x) 2))
7.0ms	x	@	inf	(+ (* (+ (* eps (+ (* eps (+ (* (- (/ (+ (* (- 1/2 (* 1/2 (cos (+ x x)))) (pow (tan x) 2)) (- 1/2 (* 1/2 (cos (+ x x))))) (+ 1/2 (* 1/2 (cos (+ x x))))) (+ (* (pow (tan x) 2) -1/3) -1/3)) (tan x)) (/ (* 1/3 (+ (* (sin x) (pow (tan x) 2)) (sin x))) (cos x)))) (- (/ (+ (* (- 1/2 (* 1/2 (cos (+ x x)))) (pow (tan x) 2)) (- 1/2 (* 1/2 (cos (+ x x))))) (+ 1/2 (* 1/2 (cos (+ x x))))) (+ (* (pow (tan x) 2) -1/3) -1/3)))) (/ (+ (* (sin x) (pow (tan x) 2)) (sin x)) (cos x))) eps) (pow (tan x) 2))
4.0ms	eps	@	-inf	(+ (* (+ (* eps (+ (* eps (+ (* (- (/ (+ (* (- 1/2 (* 1/2 (cos (+ x x)))) (pow (tan x) 2)) (- 1/2 (* 1/2 (cos (+ x x))))) (+ 1/2 (* 1/2 (cos (+ x x))))) (+ (* (pow (tan x) 2) -1/3) -1/3)) (tan x)) (/ (* 1/3 (+ (* (sin x) (pow (tan x) 2)) (sin x))) (cos x)))) (- (/ (+ (* (- 1/2 (* 1/2 (cos (+ x x)))) (pow (tan x) 2)) (- 1/2 (* 1/2 (cos (+ x x))))) (+ 1/2 (* 1/2 (cos (+ x x))))) (+ (* (pow (tan x) 2) -1/3) -1/3)))) (/ (+ (* (sin x) (pow (tan x) 2)) (sin x)) (cos x))) eps) (pow (tan x) 2))
2.0ms	eps	@	0	(+ (* eps (+ (* (* eps eps) 2/3) 1)) (+ (* (* eps eps) (* x 4/3)) x))

rewrite408.0ms (2.4%)

Memory

37.6MiB live, 707.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 206×	`lower-fma.f32`
5 182×	`lower-fma.f64`
5 170×	`lower-*.f32`
5 154×	`lower-*.f64`
2 510×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	269
0	107	262
1	515	222
2	4727	222
0	8146	218

Stop Event

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

Counts

18 → 438

Calls

Call 1

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

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

simplify394.0ms (2.3%)

Memory

25.9MiB live, 530.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 216×	`lower-fma.f64`
9 216×	`lower-fma.f32`
6 602×	`lower-*.f64`
6 602×	`lower-*.f32`
4 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	711	7881
1	2321	7702
2	7651	7666
0	8030	7201

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

Calls

Call 1

Inputs
(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))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(* 1/3 x)
(* x (+ 1/3 (* 5/18 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 5/18 (* 61/360 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 5/18 (* (pow x 2) (+ 61/360 (* 277/3024 (pow x 2))))))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (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 (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x))))
(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* eps (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(/ (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))))
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))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))
(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 3)) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(* eps (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (+ (* 1/6 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))) (cos x)))))) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ eps (cos eps))
(+ (/ eps (cos eps)) (/ (* eps (* x (sin eps))) (pow (cos eps) 2)))
(+ (* x (- (* x (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (cos eps))) (+ (* -1/2 (/ (* eps (sin eps)) (pow (cos eps) 2))) (* 1/6 (/ (* eps (sin eps)) (pow (cos eps) 2))))))) (* 1/2 (/ eps (cos eps)))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(/ eps x)
(/ (+ eps (* 1/6 (* eps (pow x 2)))) x)
(/ (+ eps (* (pow x 2) (+ (* 7/360 (* eps (pow x 2))) (* 1/6 eps)))) x)
(/ (+ eps (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 31/15120 (* eps (pow x 2))) (* 7/360 eps)))))) x)
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(/ (cos eps) x)
(/ (+ (cos eps) (* -1 (* x (sin eps)))) x)
(/ (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (- (* -1/2 (cos eps)) (* 1/3 (cos eps))))))) x)
(/ (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (- (+ (* -1/2 (cos eps)) (* x (- (* 1/6 (sin eps)) (* -1/3 (sin eps))))) (* 1/3 (cos eps))))))) x)
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/ (pow (cos x) 2) (sin x))
(+ (* -1 (* eps (cos x))) (/ (pow (cos x) 2) (sin x)))
(+ (* eps (+ (* -1 (cos x)) (* -1/2 (/ (* eps (pow (cos x) 2)) (sin x))))) (/ (pow (cos x) 2) (sin x)))
(+ (* eps (+ (* -1 (cos x)) (* eps (+ (* -1/2 (/ (pow (cos x) 2) (sin x))) (* 1/6 (* eps (cos x))))))) (/ (pow (cos x) 2) (sin x)))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.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 x (.f64 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 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 5/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 5/18 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 5/18 (* 61/360 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 61/360 binary64) #s(literal 5/18 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 5/18 (* (pow x 2) (+ 61/360 (* 277/3024 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 277/3024 binary64)) #s(literal 61/360 binary64)) #s(literal 5/18 binary64)) #s(literal 1/3 binary64)))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (/.f64 (sin.f64 x) (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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(* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x))))
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(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* eps (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)) (+ (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* eps (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x)) (+ (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* eps (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (* (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 x))))) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (cos x))))
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(* 1/3 (pow eps 2))
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(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(/ eps x)
(/.f64 eps x)
(/ (+ eps (* 1/6 (* eps (pow x 2)))) x)
(/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) eps) x)
(/ (+ eps (* (pow x 2) (+ (* 7/360 (* eps (pow x 2))) (* 1/6 eps)))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 #s(literal 7/360 binary64) (.f64 x x)) (.f64 eps #s(literal 1/6 binary64))) eps) x)
(/ (+ eps (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 31/15120 (* eps (pow x 2))) (* 7/360 eps)))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 eps #s(literal 7/360 binary64) (.f64 (.f64 (.f64 x x) eps) #s(literal 31/15120 binary64)))) (.f64 eps #s(literal 1/6 binary64))) eps) x)
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (-.f64 (.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) x)) (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 (cos.f64 eps) #s(literal -1/2 binary64)))) (sin.f64 eps)) (cos.f64 eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 eps (-.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (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 (cos.f64 x) #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(/ (cos eps) x)
(/.f64 (cos.f64 eps) x)
(/ (+ (cos eps) (* -1 (* x (sin eps)))) x)
(/.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) x)
(/ (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (- (* -1/2 (cos eps)) (* 1/3 (cos eps))))))) x)
(/.f64 (fma.f64 x (-.f64 (.f64 x (.f64 (cos.f64 eps) #s(literal -5/6 binary64))) (sin.f64 eps)) (cos.f64 eps)) x)
(/ (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (- (+ (* -1/2 (cos eps)) (* x (- (* 1/6 (sin eps)) (* -1/3 (sin eps))))) (* 1/3 (cos eps))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (sin.f64 eps) #s(literal 1/2 binary64)) (.f64 (cos.f64 eps) #s(literal -5/6 binary64))) (neg.f64 (sin.f64 eps))) (cos.f64 eps)) x)
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- eps (* -1 x)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (pow (cos x) 2) (sin x))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(+ (* -1 (* eps (cos x))) (/ (pow (cos x) 2) (sin x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(+ (* eps (+ (* -1 (cos x)) (* -1/2 (/ (* eps (pow (cos x) 2)) (sin x))))) (/ (pow (cos x) 2) (sin x)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (/.f64 eps (sin.f64 x))) (neg.f64 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (* eps (+ (* -1 (cos x)) (* eps (+ (* -1/2 (/ (pow (cos x) 2) (sin x))) (* 1/6 (* eps (cos x))))))) (/ (pow (cos x) 2) (sin x)))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (neg.f64 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (+ eps x))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))
(/ (* (cos x) (cos (- x (* -1 eps)))) (sin x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 x))

eval268.0ms (1.6%)

Memory: -18.2MiB live, 377.2MiB allocated
Compiler: Compiled 98 369 to 4 600 computations (95.3% saved)

prune166.0ms (1%)

Memory

-17.3MiB live, 308.5MiB allocated

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1 217	22	1 239
Fresh	8	16	24
Picked	3	2	5
Done	0	1	1
Total	1 228	41	1 269

Accuracy

100.0%

Counts

1 269 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
	64.1%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	64.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)) (tan.f64 (+.f64 x eps)))
▶	99.8%	(fma.f64 eps (fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (tan.f64 x) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1/3 binary64) (cos.f64 x)))) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
	97.4%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
▶	97.5%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	97.2%	(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.5%	(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.3%	(fma.f64 eps (fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	99.5%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (/.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)) (pow.f64 (/.f64 (sin.f64 x) (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)
	97.5%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
	98.3%	(fma.f64 eps (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	97.3%	(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
	95.3%	(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) (/.f64 x eps))) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
	97.4%	(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
✓	97.4%	(fma.f64 eps (*.f64 x x) eps)
	97.3%	(fma.f64 eps (.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 (.f64 eps eps) x))) eps)
	97.3%	(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
	51.4%	(/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (neg.f64 (.f64 eps eps))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps (neg.f64 eps)))
	64.1%	(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	61.4%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	29.3%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))))
	35.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 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))))
▶	98.9%	(/.f64 (*.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))) (/.f64 (cos.f64 (+.f64 x eps)) (tan.f64 x)))
	99.6%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	98.9%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (cos.f64 x) eps)))
	98.9%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	98.9%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (fma.f64 eps (-.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	98.8%	(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	63.8%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	97.3%	(/.f64 eps (cos.f64 eps))
	64.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
	62.2%	(-.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)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
✓	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	63.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	53.6%	(.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)) (.f64 eps (/.f64 (tan.f64 x) (cos.f64 (+.f64 x eps)))))
	97.3%	(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
▶	6.6%	(.f64 (.f64 x x) eps)

Compiler

Compiled 1 927 to 1 000 computations (48.1% saved)

simplify358.0ms (2.1%)

Memory

16.5MiB live, 403.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)))
✓	cost-diff	192	(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))
✓	cost-diff	384	(/.f64 (*.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))) (/.f64 (cos.f64 (+.f64 x eps)) (tan.f64 x)))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (-.f64 (+.f64 x eps) x))
✓	cost-diff	0	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	cost-diff	384	(-.f64 (+.f64 x eps) x)
✓	cost-diff	0	(fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (*.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (*.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	cost-diff	64	(fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) eps)
✓	cost-diff	128	(.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1/3 binary64) (cos.f64 x)))
✓	cost-diff	13248	(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))
✓	cost-diff	13248	(fma.f64 (tan.f64 x) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1/3 binary64) (cos.f64 x))))
✓	cost-diff	14656	(fma.f64 eps (fma.f64 (tan.f64 x) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1/3 binary64) (cos.f64 x)))) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))))

Rules

16 178×	`lower-fma.f32`
16 150×	`lower-fma.f64`
4 766×	`lower-+.f32`
4 760×	`lower-+.f64`
3 680×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	781
0	110	777
1	235	714
2	610	634
3	2037	624
0	8059	610

Stop Event

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

Calls

Call 1

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

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

localize503.0ms (3%)

Memory

15.6MiB live, 576.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.6%	(*.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)))
✓	accuracy	99.6%	(/.f64 (*.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))) (/.f64 (cos.f64 (+.f64 x eps)) (tan.f64 x)))
✓	accuracy	100.0%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	63.8%	(-.f64 (+.f64 x eps) x)
✓	accuracy	99.8%	(fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	99.5%	(*.f64 eps #s(literal 2/3 binary64))
✓	accuracy	99.5%	(fma.f64 x #s(literal 4/3 binary64) (*.f64 eps #s(literal 2/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) eps)
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (tan.f64 x) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1/3 binary64) (cos.f64 x)))) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1/3 binary64) (cos.f64 x)))
✓	accuracy	54.6%	(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))

Samples

264.0ms	160×	2	valid
99.0ms	76×	1	valid
10.0ms	16×	0	valid
5.0ms	2×	5	exit
4.0ms	2×	3	valid

Compiler

Compiled 852 to 69 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult: 74.0ms (24.8% of total)

ival-add: 70.0ms (23.4% of total)

adjust: 52.0ms (17.4% of total)

ival-cos: 38.0ms (12.7% of total)

ival-div: 24.0ms (8% of total)

const: 19.0ms (6.4% of total)

ival-sin: 8.0ms (2.7% of total)

ival-pow2: 5.0ms (1.7% of total)

ival-tan: 5.0ms (1.7% of total)

ival-sub: 4.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series43.0ms (0.3%)

Memory

-6.4MiB live, 69.1MiB allocated

Counts

17 → 324

Calls

Call 1

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

Outputs
#<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 (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (* 1/3 x)>
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#<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 (/ (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 (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 3)) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))>
#<alt (* eps (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))>
#<alt (* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (+ (* 1/6 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))) (cos x)))))) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ eps (cos eps))>
#<alt (+ (/ eps (cos eps)) (/ (* eps (* x (sin eps))) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (cos eps))) (+ (* -1/2 (/ (* eps (sin eps)) (pow (cos eps) 2))) (* 1/6 (/ (* eps (sin eps)) (pow (cos eps) 2))))))) (* 1/2 (/ eps (cos eps)))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (/ eps x)>
#<alt (/ (+ eps (* 1/6 (* eps (pow x 2)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 7/360 (* eps (pow x 2))) (* 1/6 eps)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 31/15120 (* eps (pow x 2))) (* 7/360 eps)))))) x)>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>
#<alt (+ (sin x) (/ (pow (cos x) 2) (sin x)))>

Calls

81 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(+ (* (+ (* eps (+ (* eps (+ (* (tan x) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3))) (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ 1/3 (cos x))))) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3)))) (/ (* (+ (pow (tan x) 2) 1) (sin x)) (cos x))) eps) (pow (tan x) 2))
4.0ms	x	@	-inf	(+ (* (+ (* eps (+ (* eps (+ (* (tan x) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3))) (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ 1/3 (cos x))))) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3)))) (/ (* (+ (pow (tan x) 2) 1) (sin x)) (cos x))) eps) (pow (tan x) 2))
4.0ms	x	@	inf	(/ (* eps (+ (* (cos x) (/ 1 (tan x))) (sin x))) (/ (cos (+ x eps)) (tan x)))
2.0ms	eps	@	0	(+ (* (+ (* eps (+ (* eps (+ (* (tan x) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3))) (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ 1/3 (cos x))))) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3)))) (/ (* (+ (pow (tan x) 2) 1) (sin x)) (cos x))) eps) (pow (tan x) 2))
1.0ms	eps	@	-inf	(+ (* (+ (* eps (+ (* eps (+ (* (tan x) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3))) (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ 1/3 (cos x))))) (- (/ (* (+ (pow (tan x) 2) 1) (+ (* (cos (+ x x)) -1/2) 1/2)) (+ (* 1/2 (cos (+ x x))) 1/2)) (+ (* (pow (tan x) 2) -1/3) -1/3)))) (/ (* (+ (pow (tan x) 2) 1) (sin x)) (cos x))) eps) (pow (tan x) 2))

rewrite405.0ms (2.4%)

Memory

26.6MiB live, 543.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 702×	`lower-*.f32`
4 682×	`lower-*.f64`
4 404×	`lower-fma.f32`
4 380×	`lower-fma.f64`
3 096×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	234
0	104	228
1	474	200
2	4221	200
0	8342	200

Stop Event

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

Counts

17 → 278

Calls

Call 1

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

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

simplify375.0ms (2.2%)

Memory

-18.3MiB live, 620.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 970×	`lower-fma.f64`
9 970×	`lower-fma.f32`
7 330×	`lower-*.f64`
7 330×	`lower-*.f32`
3 110×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	573	6057
1	1922	5872
2	6493	5860
0	8106	5532

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 300

Calls

Call 1

Inputs
(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))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(* 1/3 x)
(* x (+ 1/3 (* 4/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* 17/45 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 17/45 (* 248/945 (pow x 2))))))))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
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(* 1/3 (/ (* (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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(* 1/3 (pow eps 2))
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(pow x 2)
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eps
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(/ (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)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 2))
(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (pow (cos x) 3)) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(* eps (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (+ (* 1/6 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))) (cos x)))))) (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 4))) (* -1/2 (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 2) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 3))))) (/ (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x)))) (pow (cos x) 2))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ eps (cos eps))
(+ (/ eps (cos eps)) (/ (* eps (* x (sin eps))) (pow (cos eps) 2)))
(+ (* x (- (* x (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* 1/2 (/ eps (cos eps))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (cos eps))) (+ (* -1/2 (/ (* eps (sin eps)) (pow (cos eps) 2))) (* 1/6 (/ (* eps (sin eps)) (pow (cos eps) 2))))))) (* 1/2 (/ eps (cos eps)))) (+ (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 3))) (* -1/2 (/ eps (cos eps)))))) (* -1 (/ (* eps (sin eps)) (pow (cos eps) 2))))) (/ eps (cos eps)))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (+ eps x))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* eps (* (sin x) (+ (sin x) (/ (pow (cos x) 2) (sin x))))) (* (cos x) (cos (- eps (* -1 x)))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(/ eps x)
(/ (+ eps (* 1/6 (* eps (pow x 2)))) x)
(/ (+ eps (* (pow x 2) (+ (* 7/360 (* eps (pow x 2))) (* 1/6 eps)))) x)
(/ (+ eps (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 31/15120 (* eps (pow x 2))) (* 7/360 eps)))))) x)
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/315 binary64)) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 4/9 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 4/9 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 4/9 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 17/45 (* 248/945 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 248/945 binary64) #s(literal 17/45 binary64)) #s(literal 4/9 binary64)) #s(literal 1/3 binary64)))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.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))
(/ (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)))
(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 (- (+ 1/3 (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (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 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/2 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)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ 1/3 (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (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 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 eps (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/2 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)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 #s(literal 1/3 binary64) (+.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))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/2 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)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* (pow eps 3) (+ (* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ 1/3 (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/2 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)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 #s(literal 1/3 binary64) (+.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 eps (.f64 eps eps)))
(* (pow eps 3) (- (+ (* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (* (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* 1/3 (pow eps 2))
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(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(/ eps x)
(/.f64 eps x)
(/ (+ eps (* 1/6 (* eps (pow x 2)))) x)
(/.f64 (fma.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64)) eps) x)
(/ (+ eps (* (pow x 2) (+ (* 7/360 (* eps (pow x 2))) (* 1/6 eps)))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 eps #s(literal 1/6 binary64) (.f64 eps (.f64 (.f64 x x) #s(literal 7/360 binary64)))) eps) x)
(/ (+ eps (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 31/15120 (* eps (pow x 2))) (* 7/360 eps)))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 31/15120 binary64)) (.f64 eps #s(literal 7/360 binary64))) (.f64 eps #s(literal 1/6 binary64))) eps) x)
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(* eps (+ (sin x) (/ (pow (cos x) 2) (sin x))))
(*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(+ (sin x) (/ (pow (cos x) 2) (sin x)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))

eval156.0ms (0.9%)

Memory: -5.0MiB live, 187.6MiB allocated
Compiler: Compiled 44 791 to 2 408 computations (94.6% saved)

prune128.0ms (0.8%)

Memory

1.8MiB live, 210.5MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	770	17	787
Fresh	19	14	33
Picked	3	2	5
Done	1	2	3
Total	793	35	828

Accuracy

100.0%

Counts

828 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
	64.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	99.5%	(fma.f64 (*.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.8%	(fma.f64 eps (fma.f64 (fma.f64 eps (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (.f64 eps (fma.f64 (tan.f64 x) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))))) (*.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
	99.8%	(fma.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 eps (fma.f64 eps (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (.f64 eps (fma.f64 (tan.f64 x) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))))) (*.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) eps)
	97.4%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	97.5%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	97.2%	(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.5%	(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.3%	(fma.f64 eps (fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	97.5%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
	98.9%	(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	97.3%	(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
	95.3%	(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) (/.f64 x eps))) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
	97.4%	(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
	97.3%	(fma.f64 eps (.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)))) eps)
✓	97.4%	(fma.f64 eps (*.f64 x x) eps)
	97.3%	(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
	98.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) eps)) (/.f64 (cos.f64 (+.f64 x eps)) (tan.f64 x)))
	99.8%	(/.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	99.8%	(/.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
	98.9%	(/.f64 (.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) eps)) (tan.f64 x)))
	99.8%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	98.3%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
	97.3%	(/.f64 eps (cos.f64 eps))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 x))))
	64.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
	62.2%	(-.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))
✓	63.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	97.3%	(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sin.f64 (+.f64 eps #s(literal 0 binary64))))
✓	6.6%	(.f64 (.f64 x x) eps)
	6.6%	(.f64 (.f64 x eps) x)
	90.7%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps #s(literal 0 binary64))))) #s(literal -1 binary64)))

Compiler

Compiled 2 777 to 772 computations (72.2% saved)

regimes71.0ms (0.4%)

Memory

3.0MiB live, 120.9MiB allocated

Counts

80 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x eps) x)
(.f64 (.f64 x x) eps)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 (.f64 eps eps) x))) eps)
(fma.f64 eps (.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)))) eps)
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) x) x) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) (/.f64 x eps))) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) 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 (.f64 x 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))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.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 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sin.f64 (+.f64 eps #s(literal 0 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(fma.f64 eps (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (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)
(/.f64 (fma.f64 (.f64 eps eps) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (neg.f64 (.f64 eps eps))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps (neg.f64 eps)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (.f64 (cos.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))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps #s(literal 0 binary64))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)) (.f64 eps (/.f64 (tan.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))) (/.f64 (cos.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) eps)) (/.f64 (cos.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) eps)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))))
(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (cos.f64 x) eps)))
(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (fma.f64 eps (-.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (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)
(/.f64 (.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (.f64 eps (+.f64 (sin.f64 x) (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))) (.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 eps (fma.f64 (fma.f64 eps (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (.f64 eps (fma.f64 (tan.f64 x) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))))) (*.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(fma.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 eps (fma.f64 eps (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (.f64 eps (fma.f64 (tan.f64 x) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))))) (*.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (/.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)) (pow.f64 (/.f64 (sin.f64 x) (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)
(fma.f64 eps (fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (tan.f64 x) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1/3 binary64) (cos.f64 x)))) (-.f64 (/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(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)
(fma.f64 eps (fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (tan.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (cos.f64 x))) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (/.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.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 #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 (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)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sin.f64 (+.f64 eps #s(literal 0 binary64))))

Calls

3 calls:

23.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
23.0ms	x
21.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes35.0ms (0.2%)

Memory

15.5MiB live, 52.4MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x eps) x)
(.f64 (.f64 x x) eps)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 (.f64 eps eps) x))) eps)
(fma.f64 eps (.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)))) eps)
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) x) x) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) (/.f64 x eps))) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) 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 (.f64 x 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))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.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)))

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

Calls

3 calls:

12.0ms	eps
11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes31.0ms (0.2%)

Memory

8.6MiB live, 47.4MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x eps) x)
(.f64 (.f64 x x) eps)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 (.f64 eps eps) x))) eps)
(fma.f64 eps (.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)))) eps)
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) x) x) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) (/.f64 x eps))) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) 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 (.f64 x 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))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))

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

Calls

3 calls:

10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	eps
9.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`eps`
98.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory

-2.4MiB live, 36.5MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x eps) x)
(.f64 (.f64 x x) eps)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 (.f64 eps eps) x))) eps)
(fma.f64 eps (.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)))) eps)
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) x) x) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (.f64 x #s(literal 4/3 binary64)) x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (-.f64 (.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) (/.f64 x eps))) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 x eps) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) 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 (.f64 x 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))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Outputs

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

Calls

3 calls:

10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	eps
8.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-26.8MiB live, 16.4MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x eps) x)
(.f64 (.f64 x x) eps)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 x eps) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 (.f64 eps eps) x))) eps)
(fma.f64 eps (.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)))) eps)
(fma.f64 (.f64 x x) (fma.f64 eps (.f64 (*.f64 x x) #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) x) x) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)

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

Calls

3 calls:

23.0ms	eps
5.0ms	x
5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`eps`
97.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory

-23.4MiB live, 15.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	eps
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`eps`
97.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`eps`
97.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.6%	1	`x`
6.6%	1	`eps`
6.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify6.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	106
1	58	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sin.f64 (+.f64 eps #s(literal 0 binary64))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (*.f64 x x) eps)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(.f64 (.f64 x eps) x)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sin.f64 (+.f64 eps #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sin.f64 eps))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x #s(literal 4/3 binary64) (.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (*.f64 x x) eps)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(*.f64 eps (fma.f64 x x #s(literal 1 binary64)))
(.f64 (.f64 x eps) x)
(.f64 x (.f64 x eps))

soundness1.3s (8%)

Memory

-19.0MiB live, 1 180.5MiB allocated

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
10 814×	`lower-fma.f64`
10 814×	`lower-fma.f32`
9 970×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	7182
1	2096	7000
2	7338	6964
0	8148	6669
0	157	1351
1	464	1285
2	1536	1274
3	5963	1242
0	8551	1195
0	573	6057
1	1922	5872
2	6493	5860
0	8106	5532
0	52	269
0	107	262
1	515	222
2	4727	222
0	8146	218
0	50	322
0	99	286
1	490	212
2	4756	212
0	8139	202
0	51	234
0	104	228
1	474	200
2	4221	200
0	8342	200
0	711	7881
1	2321	7702
2	7651	7666
0	8030	7201
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×	node limit
1×	iter limit
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

Compiler

Compiled 376 to 197 computations (47.6% saved)

preprocess169.0ms (1%)

Memory: 3.8MiB live, 166.1MiB allocated
Compiler: Compiled 316 to 142 computations (55.1% 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

analyze161.0ms (1%)

sample6.8s (40.7%)

preprocess29.0ms (0.2%)

explain90.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize28.0ms (0.2%)

series11.0ms (0.1%)

rewrite300.0ms (1.8%)

simplify401.0ms (2.4%)

eval40.0ms (0.2%)

prune59.0ms (0.4%)

simplify380.0ms (2.3%)

localize322.0ms (1.9%)

series77.0ms (0.5%)

rewrite393.0ms (2.3%)

simplify441.0ms (2.6%)

eval537.0ms (3.2%)

prune386.0ms (2.3%)

simplify649.0ms (3.9%)

localize566.0ms (3.4%)

series88.0ms (0.5%)

rewrite408.0ms (2.4%)

simplify394.0ms (2.3%)

eval268.0ms (1.6%)

prune166.0ms (1%)

simplify358.0ms (2.1%)

localize503.0ms (3%)

series43.0ms (0.3%)

rewrite405.0ms (2.4%)

simplify375.0ms (2.2%)

eval156.0ms (0.9%)

prune128.0ms (0.8%)

regimes71.0ms (0.4%)

regimes35.0ms (0.2%)

regimes31.0ms (0.2%)

regimes28.0ms (0.2%)

regimes34.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes24.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

simplify6.0ms (0%)

soundness1.3s (8%)

preprocess169.0ms (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