Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze62.0ms (0.5%)

Memory

-4.8MiB live, 33.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.3s (50%)

Memory

146.6MiB live, 6 800.9MiB allocated

Samples

3.4s	25 988×	0	invalid
752.0ms	5 449×	0	valid
509.0ms	2 807×	1	valid

Precisions

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

const: 734.0ms (23.8% of total)

ival-tan: 718.0ms (23.3% of total)

ival-add: 256.0ms (8.3% of total)

ival-mult: 250.0ms (8.1% of total)

ival-<=: 240.0ms (7.8% of total)

ival-fabs: 222.0ms (7.2% of total)

ival-sub: 219.0ms (7.1% of total)

ival-<: 203.0ms (6.6% of total)

ival-and: 100.0ms (3.2% of total)

adjust: 86.0ms (2.8% of total)

exact: 44.0ms (1.4% of total)

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

Bogosity

explain184.0ms (1.5%)

Memory

-8.0MiB live, 77.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
208	-	-	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
1	-	-	`(tan.f64 (+.f64 x eps))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`(tan.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	208	7
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	208	0
-	0	48

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	208	0	0
-	0	7	41

Precision?

0.9674418604651163

Recall?

1.0

Freqs

test

number	freq
0	48
1	207
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms	174×	1	valid
15.0ms	328×	0	valid
9.0ms	8×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-tan: 16.0ms (59.6% of total)

adjust: 4.0ms (14.9% of total)

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

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

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

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

preprocess21.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	312	35
5	383	35
6	469	35
7	509	35
8	521	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	110	7
8	159	7
9	175	7
10	183	7
0	183	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))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(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)) (tan.f64 x))

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	110	18
8	159	18
9	175	18
10	183	18
0	183	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))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(tan.f64 x)

localize49.0ms (0.4%)

Memory

-16.4MiB live, 21.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.06354213492458946	(tan.f64 (+.f64 x eps))
accuracy	23.659050242403886	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

31.0ms	87×	1	valid
9.0ms	164×	0	valid
4.0ms	4×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-tan: 8.0ms (61.5% of total)

adjust: 2.0ms (15.4% of total)

ival-add: 2.0ms (15.4% of total)

ival-sub: 1.0ms (7.7% of total)

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

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

series11.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

4 → 31

Calls

Call 1

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

Outputs
(/ (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)))
(+ (* 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)))
eps
(+ eps x)
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 (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ 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))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* 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)))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify165.0ms (1.3%)

Memory

19.1MiB live, 95.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	950
1	464	884
2	1539	873
3	6077	710
0	8335	686

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

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

rewrite186.0ms (1.5%)

Memory

26.3MiB live, 137.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	50	16
2	402	16
3	6137	16
0	8166	16

Stop Event

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

Counts

4 → 255

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x) (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 eps x) x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (fma.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 x)) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64))))
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(*.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sin.f64 (+.f64 eps x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1 binary64))
(/.f64 (+.f64 (tan.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (tan.f64 (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (tan.f64 (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(neg.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps))))
(neg.f64 (tan.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(neg.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps)))))
(neg.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))))
(neg.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))))
(tan.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 eps x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)))
(.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x))
(.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (.f64 (-.f64 x eps) (+.f64 eps x)))
(.f64 (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (/.f64 (+.f64 eps x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (.f64 (+.f64 eps x) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(*.f64 (+.f64 eps x) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(.f64 (+.f64 eps x) (.f64 (-.f64 x eps) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 eps eps (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 1 binary64)) (-.f64 x eps))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps)))) (.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps))) (fma.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps eps (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x eps)) (.f64 (-.f64 x eps) (.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 (-.f64 x eps) (fma.f64 eps eps (.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (-.f64 x eps) (fma.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))
(+.f64 (.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))
(+.f64 eps x)
(+.f64 x eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))

eval90.0ms (0.7%)

Memory: -40.4MiB live, 81.4MiB allocated
Compiler: Compiled 7 565 to 1 005 computations (86.7% saved)

prune11.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	265	11	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	265	12	277

Accuracy

100.0%

Counts

277 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.9%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
▶	63.0%	(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
	62.6%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))))
	63.0%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	34.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	63.0%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	63.0%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))

Compiler

Compiled 433 to 280 computations (35.3% saved)

simplify131.0ms (1%)

Memory

-1.8MiB live, 156.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
cost-diff	0	(sin.f64 (+.f64 eps x))
cost-diff	0	(neg.f64 (sin.f64 (+.f64 eps x)))
cost-diff	1	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))
cost-diff	3	(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (-.f64 (+.f64 eps x) x))
cost-diff	0	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
cost-diff	4	(-.f64 (+.f64 eps x) x)
cost-diff	0	(cos.f64 eps)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (cos.f64 eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
cost-diff	0	(.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))
cost-diff	1	(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
cost-diff	1	(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	299
0	72	291
1	124	284
2	260	280
3	708	280
4	2348	280
5	4313	280
0	8133	276

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (1.2%)

Memory

-9.0MiB live, 236.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.015625	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.015625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.23454063091583283	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
accuracy	0.0	(neg.f64 (cos.f64 (+.f64 eps x)))
accuracy	0.02078878162065376	(sin.f64 (+.f64 eps x))
accuracy	0.037077551157537796	(cos.f64 (+.f64 eps x))
accuracy	23.644504520447423	(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
accuracy	0.0078125	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.0078125	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.037077551157537796	(cos.f64 (+.f64 eps x))
accuracy	23.683498410843132	(-.f64 (+.f64 eps x) x)
accuracy	0.0	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	0.0	(sin.f64 eps)
accuracy	0.0	(cos.f64 eps)
accuracy	0.6446682651792857	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	0.01171875	(.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))
accuracy	0.01171875	(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps)
accuracy	0.015625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))

Samples

63.0ms	164×	0	valid
61.0ms	91×	1	valid
2.0ms	1×	3	valid

Compiler

Compiled 263 to 41 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 29.0ms (31.1% of total)

adjust: 12.0ms (12.9% of total)

ival-div: 10.0ms (10.7% of total)

ival-cos: 9.0ms (9.6% of total)

ival-add: 8.0ms (8.6% of total)

ival-sin: 7.0ms (7.5% of total)

ival-pow2: 6.0ms (6.4% of total)

ival-tan: 5.0ms (5.4% of total)

ival-neg: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory

-3.7MiB live, 67.3MiB allocated

Counts

24 → 142

Calls

Call 1

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

Outputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(+ eps x)
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(* -1 (sin eps))
(- (* -1 (* x (cos eps))) (sin eps))
(- (* x (- (* 1/2 (* x (sin eps))) (cos eps))) (sin eps))
(- (* x (- (* x (- (* 1/6 (* x (cos eps))) (* -1/2 (sin eps)))) (cos 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))))))))
(+ 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))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow 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 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(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 (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(* -1 (cos eps))
(- (* x (sin eps)) (cos eps))
(- (* x (+ (sin eps) (* 1/2 (* x (cos eps))))) (cos eps))
(- (* x (+ (sin eps) (* x (- (* -1/6 (* x (sin eps))) (* -1/2 (cos eps)))))) (cos eps))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ 1 (/ (* eps (sin x)) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
x
(* x (+ 1 (/ eps x)))
(/ -1 (cos (+ eps x)))
(* -1 (sin (+ eps x)))
(sin (+ eps x))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(pow (cos x) 2)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(* -1 (cos (+ eps x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ -1 (cos (- eps (* -1 x))))
(* -1 (sin (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(* -1 (cos (- eps (* -1 x))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -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)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(/ 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))))
(/ -1 (cos x))
(- (* -1 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(* -1 (sin x))
(- (* -1 (* eps (cos x))) (sin x))
(- (* eps (- (* 1/2 (* eps (sin x))) (cos x))) (sin x))
(- (* eps (- (* eps (- (* 1/6 (* eps (cos x))) (* -1/2 (sin x)))) (cos x))) (sin 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))))))))
(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))))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* -1 (cos x))
(- (* eps (sin x)) (cos x))
(- (* eps (+ (sin x) (* 1/2 (* eps (cos x))))) (cos x))
(- (* eps (+ (sin x) (* eps (- (* -1/6 (* eps (sin x))) (* -1/2 (cos x)))))) (cos x))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (/ 1 eps) (/ (sin x) (cos x))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ -1 (cos (- x (* -1 eps))))
(* -1 (sin (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (cos (- x (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	((* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (pow (cos x) 2) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (cos (+ eps x))))
18.0ms	eps	@	-inf	((* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (pow (cos x) 2) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (cos (+ eps x))))
13.0ms	eps	@	0	((* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (pow (cos x) 2) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (cos (+ eps x))))
9.0ms	eps	@	inf	((* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (pow (cos x) 2) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (cos (+ eps x))))
6.0ms	x	@	inf	((* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (pow (cos x) 2) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (neg (cos (+ eps x))))

simplify418.0ms (3.3%)

Memory

-351.3MiB live, 197.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	2500
1	1839	2388
2	5640	2278
0	8141	2125

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 140

Calls

Call 1

Inputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(+ eps x)
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(* -1 (sin eps))
(- (* -1 (* x (cos eps))) (sin eps))
(- (* x (- (* 1/2 (* x (sin eps))) (cos eps))) (sin eps))
(- (* x (- (* x (- (* 1/6 (* x (cos eps))) (* -1/2 (sin eps)))) (cos 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))))))))
(+ 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))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow 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 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(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 (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(* -1 (cos eps))
(- (* x (sin eps)) (cos eps))
(- (* x (+ (sin eps) (* 1/2 (* x (cos eps))))) (cos eps))
(- (* x (+ (sin eps) (* x (- (* -1/6 (* x (sin eps))) (* -1/2 (cos eps)))))) (cos eps))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ 1 (/ (* eps (sin x)) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
x
(* x (+ 1 (/ eps x)))
(/ -1 (cos (+ eps x)))
(* -1 (sin (+ eps x)))
(sin (+ eps x))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(pow (cos x) 2)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(* -1 (cos (+ eps x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ -1 (cos (- eps (* -1 x))))
(* -1 (sin (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(* -1 (cos (- eps (* -1 x))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -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)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(/ 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))))
(/ -1 (cos x))
(- (* -1 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(* -1 (sin x))
(- (* -1 (* eps (cos x))) (sin x))
(- (* eps (- (* 1/2 (* eps (sin x))) (cos x))) (sin x))
(- (* eps (- (* eps (- (* 1/6 (* eps (cos x))) (* -1/2 (sin x)))) (cos x))) (sin 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))))))))
(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))))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* -1 (cos x))
(- (* eps (sin x)) (cos x))
(- (* eps (+ (sin x) (* 1/2 (* eps (cos x))))) (cos x))
(- (* eps (+ (sin x) (* eps (- (* -1/6 (* eps (sin x))) (* -1/2 (cos x)))))) (cos x))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (/ 1 eps) (/ (sin x) (cos x))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ -1 (cos (- x (* -1 eps))))
(* -1 (sin (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (cos (- x (* -1 eps))))

Outputs
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(fma.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps)) x eps)
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 eps x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) eps) x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 eps #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) eps) x #s(literal 1 binary64))
(/ (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 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.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 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (-.f64 (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ 1 (* x (+ eps x)))
(fma.f64 (+.f64 eps x) x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))
(+ (* 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)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (sin.f64 eps) (-.f64 (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps))) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(sin eps)
(sin.f64 eps)
(+ eps x)
(+.f64 eps x)
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(fma.f64 (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 #s(literal -1 binary64) (cos.f64 eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 eps))) x (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 #s(literal -1 binary64) (cos.f64 eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 eps)) (sin.f64 eps) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps))) x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 eps))))) x (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* -1 (sin eps))
(neg.f64 (sin.f64 eps))
(- (* -1 (* x (cos eps))) (sin eps))
(neg.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(- (* x (- (* 1/2 (* x (sin eps))) (cos eps))) (sin eps))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sin.f64 eps) (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps)))
(- (* x (- (* x (- (* 1/6 (* x (cos eps))) (* -1/2 (sin eps)))) (cos eps))) (sin eps))
(-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 eps))) x) (cos.f64 eps)) x) (sin.f64 eps))
(+ (sin eps) (* x (cos eps)))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal -1/2 binary64)) x (cos.f64 eps)) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) x (sin.f64 eps))
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 x x) eps eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 (sin.f64 eps) x) #s(literal 2/3 binary64)) (cos.f64 eps)) x) (sin.f64 eps)) x (cos.f64 eps))
(* -1 (cos eps))
(neg.f64 (cos.f64 eps))
(- (* x (sin eps)) (cos eps))
(-.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))
(- (* x (+ (sin eps) (* 1/2 (* x (cos eps))))) (cos eps))
(-.f64 (.f64 (fma.f64 (.f64 (cos.f64 eps) x) #s(literal 1/2 binary64) (sin.f64 eps)) x) (cos.f64 eps))
(- (* x (+ (sin eps) (* x (- (* -1/6 (* x (sin eps))) (* -1/2 (cos eps)))))) (cos eps))
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(.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 eps eps))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) (*.f64 eps eps) eps)
(/ (* eps (sin x)) (cos x))
(*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)))
(* eps (+ (/ 1 eps) (/ (sin x) (cos x))))
(fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 eps (cos.f64 x)))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(- (/ (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)))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps)
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(/ -1 (cos (- x (* -1 eps))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(* -1 (sin (- x (* -1 eps))))
(neg.f64 (sin.f64 (+.f64 eps x)))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (cos (- x (* -1 eps))))
(neg.f64 (cos.f64 (+.f64 eps x)))

rewrite185.0ms (1.5%)

Memory

35.0MiB live, 191.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	231
0	72	223
1	289	160
2	2303	160
0	8494	156

Stop Event

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

Counts

24 → 744

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps)
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(.f64 eps (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps) (.f64 (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps) (-.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) (.f64 (.f64 (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (.f64 eps (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) (.f64 (.f64 eps (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))) (neg.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 eps (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(+.f64 (.f64 (.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(+.f64 (.f64 eps (.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(.f64 (-.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))) (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))) (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))) (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 eps (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) (*.f64 eps (tan.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))) (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) (*.f64 eps (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))) (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))) (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x))) (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 eps (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 eps (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 eps (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (tan.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 eps (tan.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 eps (tan.f64 x)))) (/.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps (tan.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)) (fma.f64 eps (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 eps (tan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 eps (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
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eval159.0ms (1.3%)

Memory: -5.4MiB live, 156.3MiB allocated
Compiler: Compiled 26 420 to 3 597 computations (86.4% saved)

prune24.0ms (0.2%)

Memory

-26.4MiB live, 52.4MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	907	11	918
Fresh	6	0	6
Picked	5	0	5
Done	0	1	1
Total	918	12	930

Accuracy

100.0%

Counts

930 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x)))))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))

Compiler

Compiled 631 to 400 computations (36.6% saved)

simplify210.0ms (1.7%)

Memory

15.8MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
cost-diff	2	(fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (*.f64 #s(literal 2/3 binary64) eps))
cost-diff	2	(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
cost-diff	3	(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 2/45 binary64) eps))
cost-diff	0	(*.f64 eps (+.f64 eps x))
cost-diff	0	(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
cost-diff	0	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) x eps)
cost-diff	0	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
cost-diff	0	(tan.f64 x)
cost-diff	0	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
cost-diff	1	(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	427
0	83	402
1	156	400
2	322	395
3	918	395
4	2675	395
5	4853	395
6	5901	395
7	6217	395
8	6344	395
9	6429	395
10	7672	395
0	8072	374

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
x
#s(literal 1 binary64)
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)
(fma.f64 eps (tan.f64 x) #s(literal 1 binary64))
eps
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
(fma.f64 (*.f64 eps eps) x eps)
(*.f64 eps eps)
eps
x
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(*.f64 eps (+.f64 eps x))
eps
(+.f64 eps x)
x
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps)
(fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (*.f64 #s(literal 2/3 binary64) eps))
(.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x)
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 2/45 binary64) eps))
#s(literal 1/3 binary64)
eps
(*.f64 #s(literal 2/45 binary64) eps)
#s(literal 2/45 binary64)
x
(*.f64 #s(literal 2/3 binary64) eps)
#s(literal 2/3 binary64)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
eps

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 (tan.f64 x) eps #s(literal 1 binary64))))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
(*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 (tan.f64 x) eps #s(literal 1 binary64)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
x
#s(literal 1 binary64)
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)
(*.f64 (fma.f64 (tan.f64 x) eps #s(literal 1 binary64)) eps)
(fma.f64 eps (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) eps #s(literal 1 binary64))
eps
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
(fma.f64 (*.f64 eps eps) x eps)
(*.f64 eps eps)
eps
x
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 (+.f64 eps x) eps) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 (+.f64 eps x) eps) x eps))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(fma.f64 (*.f64 (+.f64 eps x) eps) x eps)
(*.f64 eps (+.f64 eps x))
(*.f64 (+.f64 eps x) eps)
eps
(+.f64 eps x)
x
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 17/45 binary64) x) x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 17/45 binary64) x) x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 17/45 binary64) x) x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps)
(.f64 eps (fma.f64 (.f64 #s(literal 2/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/45 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (*.f64 #s(literal 2/3 binary64) eps))
(.f64 (fma.f64 (.f64 #s(literal 17/45 binary64) x) x #s(literal 2/3 binary64)) eps)
(.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x)
(.f64 (.f64 #s(literal 17/45 binary64) eps) x)
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 2/45 binary64) eps))
(*.f64 #s(literal 17/45 binary64) eps)
#s(literal 1/3 binary64)
eps
(*.f64 #s(literal 2/45 binary64) eps)
#s(literal 2/45 binary64)
x
(*.f64 #s(literal 2/3 binary64) eps)
#s(literal 2/3 binary64)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
eps

localize265.0ms (2.1%)

Memory

2.5MiB live, 198.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.00390625	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
accuracy	0.00390625	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.23454063091583283	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
accuracy	0.2734375	(*.f64 #s(literal 2/45 binary64) eps)
accuracy	0.30859375	(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 2/45 binary64) eps))
accuracy	0.33203125	(*.f64 #s(literal 2/3 binary64) eps)
accuracy	0.3842922818456725	#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
accuracy	0.0	(+.f64 eps x)
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
accuracy	0.1328125	(*.f64 eps (+.f64 eps x))
accuracy	0.4290471104790156	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
accuracy	0.0	(fma.f64 (*.f64 eps eps) x eps)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
accuracy	0.6448902093951799	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
accuracy	0.00390625	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
accuracy	0.0078125	(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))

Samples

168.0ms	170×	0	valid
66.0ms	86×	1	valid

Compiler

Compiled 281 to 56 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-add: 125.0ms (59.4% of total)

ival-mult: 41.0ms (19.5% of total)

const: 11.0ms (5.2% of total)

adjust: 9.0ms (4.3% of total)

ival-pow2: 9.0ms (4.3% of total)

ival-div: 5.0ms (2.4% of total)

ival-tan: 5.0ms (2.4% of total)

ival-sin: 2.0ms (0.9% of total)

ival-cos: 2.0ms (0.9% of total)

ival-sub: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory

15.3MiB live, 52.4MiB allocated

Counts

24 → 88

Calls

Call 1

Inputs
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
(fma.f64 (*.f64 eps eps) x eps)
(*.f64 eps eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(*.f64 eps (+.f64 eps x))
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 2/45 binary64) eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
(fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (*.f64 #s(literal 2/3 binary64) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)
(+.f64 eps x)
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/45 binary64) eps)

Outputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
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))))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 2/3 eps) (* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps))))))))
(* 2/3 eps)
(+ (* 2/3 eps) (* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(+ eps (* x (+ (* 1/3 (* (pow eps 2) (pow x 2))) (pow eps 2))))
(+ eps (* x (+ (* (pow x 2) (+ (* 2/15 (* (pow eps 2) (pow x 2))) (* 1/3 (pow eps 2)))) (pow eps 2))))
(+ eps x)
(+ 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 (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin x) (cos x))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ (pow eps 2) x)))
(* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* (pow x 6) (+ (* 2/45 eps) (* 1/3 eps)))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (* 2/3 (/ eps (pow x 2))))))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4))))))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (+ (* 2/3 (/ eps (pow x 2))) (+ (/ eps (pow x 4)) (/ eps (pow x 6)))))))
(* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps)))
(* (pow x 2) (+ (* 2/45 eps) (+ (* 1/3 eps) (* 2/3 (/ eps (pow x 2))))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* x (+ 1 (/ eps x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -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)))))
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps x) (pow x 2))))
(* eps (+ eps x))
(* 17/45 eps)
(* eps (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(* eps (+ 2/3 (* 17/45 (pow x 2))))
(* 2/45 eps)
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(/ (* (pow eps 2) (sin x)) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (/ (sin x) (cos x))))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))))
(* -1 (* eps (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
(* -1 (* eps (- (* -17/45 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((* (+ (* (tan x) (tan x)) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (* (tan x) (tan x)) 1) (tan x) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* eps (+ eps x)) (+ (* 1/3 eps) (* 2/45 eps)) (+ (* (+ (* (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (* x x)) eps) (* x x)) eps) (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (* (+ (* eps (tan x)) 1) eps) (+ eps x) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (* 2/3 eps) (* 2/45 eps))
7.0ms	eps	@	-inf	((* (+ (* (tan x) (tan x)) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (* (tan x) (tan x)) 1) (tan x) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* eps (+ eps x)) (+ (* 1/3 eps) (* 2/45 eps)) (+ (* (+ (* (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (* x x)) eps) (* x x)) eps) (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (* (+ (* eps (tan x)) 1) eps) (+ eps x) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (* 2/3 eps) (* 2/45 eps))
7.0ms	eps	@	inf	((* (+ (* (tan x) (tan x)) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (* (tan x) (tan x)) 1) (tan x) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* eps (+ eps x)) (+ (* 1/3 eps) (* 2/45 eps)) (+ (* (+ (* (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (* x x)) eps) (* x x)) eps) (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (* (+ (* eps (tan x)) 1) eps) (+ eps x) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (* 2/3 eps) (* 2/45 eps))
6.0ms	eps	@	0	((* (+ (* (tan x) (tan x)) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (* (tan x) (tan x)) 1) (tan x) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* eps (+ eps x)) (+ (* 1/3 eps) (* 2/45 eps)) (+ (* (+ (* (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (* x x)) eps) (* x x)) eps) (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (* (+ (* eps (tan x)) 1) eps) (+ eps x) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (* 2/3 eps) (* 2/45 eps))
5.0ms	x	@	-inf	((* (+ (* (tan x) (tan x)) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (* (tan x) (tan x)) 1) (tan x) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* eps (+ eps x)) (+ (* 1/3 eps) (* 2/45 eps)) (+ (* (+ (* (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (* x x)) eps) (* x x)) eps) (+ (* (* (+ (* 1/3 eps) (* 2/45 eps)) x) x) (* 2/3 eps)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (pow (tan x) 2) (* (+ (* eps (tan x)) 1) eps) (+ eps x) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (* 2/3 eps) (* 2/45 eps))

simplify188.0ms (1.5%)

Memory

-11.9MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	1471
1	1138	1414
2	3502	1351
0	8186	1250

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 86

Calls

Call 1

Inputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
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))))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 2/3 eps) (* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps))))))))
(* 2/3 eps)
(+ (* 2/3 eps) (* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(+ eps (* x (+ (* 1/3 (* (pow eps 2) (pow x 2))) (pow eps 2))))
(+ eps (* x (+ (* (pow x 2) (+ (* 2/15 (* (pow eps 2) (pow x 2))) (* 1/3 (pow eps 2)))) (pow eps 2))))
(+ eps x)
(+ 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 (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin x) (cos x))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ (pow eps 2) x)))
(* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* (pow x 6) (+ (* 2/45 eps) (* 1/3 eps)))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (* 2/3 (/ eps (pow x 2))))))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4))))))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (+ (* 2/3 (/ eps (pow x 2))) (+ (/ eps (pow x 4)) (/ eps (pow x 6)))))))
(* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps)))
(* (pow x 2) (+ (* 2/45 eps) (+ (* 1/3 eps) (* 2/3 (/ eps (pow x 2))))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* x (+ 1 (/ eps x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -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)))))
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps x) (pow x 2))))
(* eps (+ eps x))
(* 17/45 eps)
(* eps (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(* eps (+ 2/3 (* 17/45 (pow x 2))))
(* 2/45 eps)
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(/ (* (pow eps 2) (sin x)) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (/ (sin x) (cos x))))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))))
(* -1 (* eps (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
(* -1 (* eps (- (* -17/45 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(*.f64 (fma.f64 x (+.f64 eps x) #s(literal 1 binary64)) eps)
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps x)) eps eps) x (*.f64 eps eps)) x eps)
(/ (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 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.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 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) x (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (fma.f64 x x #s(literal 1 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps x)) eps eps) x (*.f64 eps eps)) x eps)
(pow eps 2)
(*.f64 eps eps)
(+ (* eps x) (pow eps 2))
(*.f64 (+.f64 eps x) eps)
(+ eps (* eps (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 2/3 eps) (* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) eps) (.f64 x x) eps) (.f64 x x) eps)
(* 2/3 eps)
(*.f64 #s(literal 2/3 binary64) eps)
(+ (* 2/3 eps) (* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps))))
(.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) eps) (.f64 x x) eps) (.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(+ eps (* x (+ (* 1/3 (* (pow eps 2) (pow x 2))) (pow eps 2))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps)) x eps)
(+ eps (* x (+ (* (pow x 2) (+ (* 2/15 (* (pow eps 2) (pow x 2))) (* 1/3 (pow eps 2)))) (pow eps 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64))) (fma.f64 (.f64 eps eps) x eps))
(+ eps x)
(+.f64 eps x)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) eps) (.f64 x x) eps) (.f64 x x) eps)
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)))
(- (/ (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)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* (pow eps 2) x)
(.f64 (.f64 eps eps) x)
(* x (+ (/ eps x) (pow eps 2)))
(*.f64 (fma.f64 eps eps (/.f64 eps x)) x)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* (pow x 2) (+ eps (/ (pow eps 2) x)))
(.f64 (.f64 (fma.f64 eps (/.f64 eps x) eps) x) x)
(* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))
(.f64 (.f64 (+.f64 (fma.f64 eps (/.f64 eps x) (/.f64 (/.f64 eps x) x)) eps) x) x)
(* eps x)
(*.f64 eps x)
(* x (+ eps (/ (pow eps 2) x)))
(*.f64 (fma.f64 eps (/.f64 eps x) eps) x)
(* (pow x 6) (+ (* 2/45 eps) (* 1/3 eps)))
(.f64 (.f64 eps (pow.f64 x #s(literal 6 binary64))) #s(literal 17/45 binary64))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (* 2/3 (/ eps (pow x 2))))))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 17/45 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4))))))
(.f64 (fma.f64 eps (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 17/45 binary64)) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* 2/45 eps) (+ (* 1/3 eps) (+ (* 2/3 (/ eps (pow x 2))) (+ (/ eps (pow x 4)) (/ eps (pow x 6)))))))
(.f64 (fma.f64 eps (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 17/45 binary64)) (+.f64 (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 2) (+ (* 2/45 eps) (* 1/3 eps)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 17/45 binary64))
(* (pow x 2) (+ (* 2/45 eps) (+ (* 1/3 eps) (* 2/3 (/ eps (pow x 2))))))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 17/45 binary64))) (.f64 x x))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(/ (pow (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 (+ 1 (/ (* eps (sin x)) (cos x))))
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps eps) eps)
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x 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)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(*.f64 (fma.f64 eps eps (/.f64 eps x)) x)
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 eps eps (/.f64 eps x)) x) eps) x) x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 eps (/.f64 eps x) eps) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps x) x x)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps)
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps 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)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 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))) (-.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (neg.f64 eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/3 binary64) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 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))) (-.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))) eps (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 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))) (-.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps)
(* eps (+ 1 (* eps x)))
(fma.f64 (*.f64 eps eps) x eps)
(* eps (+ 1 (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(* eps (+ 1 (+ (* eps x) (pow x 2))))
(*.f64 (fma.f64 x (+.f64 eps x) #s(literal 1 binary64)) eps)
(* eps (+ eps x))
(*.f64 (+.f64 eps x) eps)
(* 17/45 eps)
(*.f64 #s(literal 17/45 binary64) eps)
(* eps (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (fma.f64 x x #s(literal 1 binary64))) eps)
(* eps (+ 2/3 (* 17/45 (pow x 2))))
(.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) eps)
(* 2/45 eps)
(*.f64 #s(literal 2/45 binary64) eps)
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 eps eps))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 (*.f64 eps eps) x eps)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 (fma.f64 (/.f64 x eps) eps eps) eps)
(/ (* (pow eps 2) (sin x)) (cos x))
(.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps eps))
(* (pow eps 2) (+ (/ 1 eps) (/ (sin x) (cos x))))
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(- (/ (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)))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps)
(* -1 (* eps (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -17/45 (pow x 2)) 2/3)))
(.f64 (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)

rewrite188.0ms (1.5%)

Memory

14.5MiB live, 170.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	376
0	83	357
1	359	303
2	3018	303
0	9408	303

Stop Event

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

Counts

24 → 349

Calls

Call 1

Inputs
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
(fma.f64 (*.f64 eps eps) x eps)
(*.f64 eps eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(*.f64 eps (+.f64 eps x))
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 2/45 binary64) eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
(fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (*.f64 #s(literal 2/3 binary64) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)
(+.f64 eps x)
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 2/45 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 #s(literal 2/45 binary64) eps)

Outputs
(*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps)
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
(.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(.f64 eps (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(fma.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps (.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(+.f64 (.f64 (.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(+.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(+.f64 (.f64 eps (.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(+.f64 (.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (sin.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (pow.f64 (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 eps eps) (-.f64 (.f64 eps eps) (pow.f64 (*.f64 eps (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(fma.f64 (*.f64 eps (/.f64 (tan.f64 x) (cos.f64 x))) (sin.f64 x) eps)
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 eps (cos.f64 x)) eps)
(fma.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps)
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps) eps)
(fma.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) (/.f64 (tan.f64 x) (cos.f64 x)) eps)
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) eps) eps)
(fma.f64 (sin.f64 x) (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) eps) eps)
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (tan.f64 x) (*.f64 eps (tan.f64 x)) eps)
(-.f64 (/.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (.f64 eps eps)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps (neg.f64 eps))) (/.f64 (*.f64 eps eps) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps (neg.f64 eps))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (pow.f64 (.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (tan.f64 x) (pow.f64 (.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (tan.f64 x) (.f64 (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (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 2 binary64)))
(/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (-.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(exp.f64 (+.f64 (neg.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))) (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64) (neg.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (-.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)
(*.f64 eps (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) eps) (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (-.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 eps (tan.f64 x))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 eps (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 eps (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 eps (tan.f64 x))))
(fma.f64 (.f64 eps (tan.f64 x)) eps (.f64 #s(literal 1 binary64) eps))
(fma.f64 eps (.f64 eps (tan.f64 x)) (.f64 eps #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 eps (tan.f64 x))))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 eps (tan.f64 x)) eps))
(+.f64 (.f64 (.f64 eps (tan.f64 x)) eps) (*.f64 #s(literal 1 binary64) eps))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (*.f64 eps (tan.f64 x)) eps))
(+.f64 (.f64 eps (.f64 eps (tan.f64 x))) (*.f64 eps #s(literal 1 binary64)))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (*.f64 eps (tan.f64 x))))
(.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x eps)) (.f64 (-.f64 x eps) (.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (-.f64 eps x)) (.f64 (-.f64 eps x) (.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x)))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 17/45 binary64) eps) x) x (.f64 #s(literal 2/3 binary64) eps)) eps) (*.f64 x x) eps))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/45 binary64) eps)
(*.f64 eps #s(literal 2/45 binary64))

eval85.0ms (0.7%)

Memory: -22.8MiB live, 107.7MiB allocated
Compiler: Compiled 18 597 to 2 129 computations (88.6% saved)

prune32.0ms (0.3%)

Memory

36.3MiB live, 74.1MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	465	9	474
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	469	17	486

Accuracy

100.0%

Counts

486 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x)))))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (pow (tan x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (pow (tan x) 2) (*.f64 x x)) eps eps))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(approx ( (+ (* eps (tan x)) 1) eps) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps)) x eps))))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) eps) (.f64 x x) eps) (.f64 x x) eps)))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
✓	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
▶	31.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (+.f64 eps x) eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (.f64 eps eps))) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)))))
▶	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps))))
▶	6.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps))))

Compiler

Compiled 1 014 to 586 computations (42.2% saved)

simplify406.0ms (3.2%)

Memory

-19.1MiB live, 139.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
cost-diff	0	(*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
cost-diff	1	(-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)
cost-diff	2	(.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (.f64 eps eps))
cost-diff	7	(-.f64 (.f64 (pow.f64 (.f64 (.f64 (+.f64 eps x) eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (*.f64 eps eps)))
cost-diff	30	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (+.f64 eps x) eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (.f64 eps eps))) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)))
cost-diff	0	(.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps)
cost-diff	0	#s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps))
cost-diff	0	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps))))
cost-diff	0	(.f64 (.f64 x x) eps)
cost-diff	0	#s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps))
cost-diff	0	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps))))
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
cost-diff	1	(.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	740
0	87	742
1	165	698
2	417	644
3	1818	600
0	8655	573

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (1.7%)

Memory

-10.4MiB live, 189.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
accuracy	0.00390625	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.00390625	(*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
accuracy	0.09212875976844201	(pow.f64 (.f64 (.f64 (+.f64 eps x) eps) x) #s(literal 2 binary64))
accuracy	0.1328125	(*.f64 (+.f64 eps x) eps)
accuracy	0.4290471104790156	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (+.f64 eps x) eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (.f64 eps eps))) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps))))
accuracy	42.593708292522244	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (+.f64 eps x) eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (.f64 eps eps))) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)))
accuracy	0.0078125	(.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps)
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps))))
accuracy	0.40234375	(*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps)
accuracy	0.4290471104790156	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps)))
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps))))
accuracy	0.05859375	(.f64 (.f64 x x) eps)
accuracy	0.4290471104790156	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps)))
accuracy	59.72822403546677	#s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps))
accuracy	0.00390625	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)
accuracy	0.0078125	(.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps))
accuracy	0.028909685297977283	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))

Samples

102.0ms	86×	1	valid
53.0ms	170×	0	valid

Compiler

Compiled 445 to 51 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

adjust: 44.0ms (34.1% of total)

ival-mult: 41.0ms (31.8% of total)

ival-add: 13.0ms (10.1% of total)

ival-pow2: 11.0ms (8.5% of total)

ival-div: 7.0ms (5.4% of total)

ival-tan: 5.0ms (3.9% of total)

ival-sub: 4.0ms (3.1% of total)

ival-sin: 2.0ms (1.6% of total)

ival-cos: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series92.0ms (0.7%)

Memory

13.5MiB live, 56.5MiB allocated

Counts

24 → 141

Calls

Call 1

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

Outputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(* eps (pow x 2))
(+ eps (* x (- (* -1 (pow eps 2)) (* -2 (pow eps 2)))))
(+ eps (* x (- (+ (* -1 (pow eps 2)) (* x (- (* -1 (pow eps 3)) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (* -2 (pow eps 2)))))
(+ eps (* x (- (+ (* -1 (pow eps 2)) (* x (- (+ (* -1 (pow eps 3)) (* x (- (+ (* -2 (pow eps 2)) (pow eps 4)) (+ (* -2 (* eps (- (* -1 (pow eps 3)) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (+ (* 2 (pow eps 2)) (/ (* (+ (* -2 (pow eps 2)) (pow eps 4)) (- (* -1 (pow eps 2)) (* -2 (pow eps 2)))) (pow eps 2))))))) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (* -2 (pow eps 2)))))
(pow eps 3)
(- (* -1 (* (pow eps 4) x)) (* -1 (pow eps 3)))
(- (* x (- (* x (- (* -1 (pow eps 5)) (pow eps 3))) (pow eps 4))) (* -1 (pow eps 3)))
(- (* x (- (* x (- (+ (* -1 (pow eps 5)) (* (pow eps 2) (* x (+ (* -2 (pow eps 2)) (pow eps 4))))) (pow eps 3))) (pow eps 4))) (* -1 (pow eps 3)))
(* -1 (pow eps 3))
(+ (* -1 (pow eps 3)) (* (pow eps 4) x))
(+ (* -1 (pow eps 3)) (* x (+ (* (pow eps 3) x) (pow eps 4))))
(* -1 eps)
(- (* (pow eps 2) x) eps)
(- (* x (+ (* eps x) (pow eps 2))) eps)
(+ eps (* x (+ (* x (+ eps (* x (+ (* 1/3 (pow eps 2)) (pow eps 2))))) (pow eps 2))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(+ eps (* x (+ (* 1/3 (* (pow eps 2) (pow x 2))) (pow eps 2))))
(+ eps (* x (+ (* (pow x 2) (+ (* 2/15 (* (pow eps 2) (pow x 2))) (* 1/3 (pow eps 2)))) (pow eps 2))))
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(* (pow eps 4) (pow x 2))
(* (pow x 2) (+ (* 2 (* (pow eps 3) x)) (pow eps 4)))
(* (pow x 2) (+ (* x (+ (* 2 (pow eps 3)) (* (pow eps 2) x))) (pow eps 4)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* (pow x 2) (+ eps (/ (pow eps 2) x)))
(* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))
(* (pow x 2) (- (+ eps (+ (* -1 (/ eps (pow x 2))) (/ (pow eps 2) x))) (* -2 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ eps (+ (* -2 (/ (pow eps 2) (pow x 3))) (+ (* -1 (/ eps (pow x 2))) (/ (pow eps 2) x)))) (+ (* -4 (/ (pow eps 2) (pow x 3))) (+ (* -2 (/ eps (pow x 2))) (* 2 (/ (* eps (- (* -1 eps) (* -2 eps))) (pow x 3)))))))
(* (pow eps 3) (pow x 6))
(* (pow x 6) (+ (/ (* (pow eps 2) (+ (* 2 (pow eps 2)) (pow eps 2))) x) (pow eps 3)))
(* (pow x 6) (+ (/ (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3)))) (pow x 2)) (+ (/ (* (pow eps 2) (+ (* 2 (pow eps 2)) (pow eps 2))) x) (pow eps 3))))
(* (pow x 6) (+ (/ (* (pow eps 2) (+ (* -2 (pow eps 2)) (pow eps 4))) (pow x 3)) (+ (/ (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3)))) (pow x 2)) (+ (/ (* (pow eps 2) (+ (* 2 (pow eps 2)) (pow eps 2))) x) (pow eps 3)))))
(* (pow eps 3) (pow x 2))
(* (pow x 2) (+ (/ (pow eps 4) x) (pow eps 3)))
(* (pow x 2) (+ (* -1 (/ (pow eps 3) (pow x 2))) (+ (/ (pow eps 4) x) (pow eps 3))))
(* (pow x 2) (+ eps (+ (* -1 (/ eps (pow x 2))) (/ (pow eps 2) x))))
(* (+ 1 (/ (* eps (sin x)) (cos x))) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (+ (/ 1 (pow x 2)) (/ eps x))))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* (pow eps 2) (pow x 4))
(* (pow x 4) (+ (* 2 (/ (pow eps 3) x)) (pow eps 2)))
(* (pow x 4) (+ (* 2 (/ (pow eps 3) x)) (+ (/ (pow eps 4) (pow x 2)) (pow eps 2))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (- (* -1 eps) (* -2 eps)) x)) (* -1 (pow eps 2))) x))))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (- (+ (* -1 eps) (* -1 (/ (- (* -1 (pow eps 4)) (+ (* -2 (* eps (- (* -1 eps) (* -2 eps)))) (* -1 (+ (* -2 (pow eps 2)) (pow eps 4))))) x))) (* -2 eps)) x)) (* -1 (pow eps 2))) x))))
(* (pow x 6) (+ (* -1 (/ (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2)))) x)) (pow eps 3)))
(* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3)))) x)) (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2))))) x)) (pow eps 3)))
(* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (+ (* -1 (pow eps 4)) (* 2 (pow eps 2)))) x)) (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3))))) x)) (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2))))) x)) (pow eps 3)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (pow eps 4)) (/ (pow eps 3) x)) x)) (pow eps 3)))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (pow eps 2)) (/ eps x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* (pow x 4) (+ (* -1 (/ (+ (* -2 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (pow eps 2)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -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)))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps x) (pow x 2))))
(/ (* eps (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 2))
(* eps (- (+ (* eps (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(* eps (- (+ (* eps (- (+ (* eps (- (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(* eps (- (+ (* eps (- (+ (* eps (- (+ (* eps (- (/ (pow x 3) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (pow (- (pow x 2) 1) 2))))) (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(* (pow eps 3) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (+ (* eps (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1))) (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (+ (* eps (+ (* eps (pow x 3)) (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)))) (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(* (pow eps 3) (- (pow x 2) 1))
(* (pow eps 3) (- (+ (* eps x) (pow x 2)) 1))
(* eps (- (pow x 2) 1))
(* eps (- (+ (* eps x) (pow x 2)) 1))
(+ 1 (+ (* eps x) (pow x 2)))
(* eps (+ eps x))
(* (pow eps 2) (+ (* 2 (* eps (pow x 3))) (pow x 4)))
(* (pow eps 2) (+ (* eps (+ (* 2 (pow x 3)) (* eps (pow x 2)))) (pow x 4)))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (pow x 2) eps)) (/ (pow x 2) eps))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (/ 1 eps))))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (* x (- (pow x 2) 1)) (pow eps 2))) (+ (* 2 (/ (pow x 2) eps)) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))))) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) (* (pow eps 2) x))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (+ (/ 1 eps) (+ (/ 1 (* (pow eps 2) x)) (/ (pow (- (pow x 2) 1) 2) (* (pow eps 2) x))))))))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (* x (- (pow x 2) 1)) (pow eps 2))) (+ (* 2 (/ (pow x 2) eps)) (+ (/ 1 (* (pow eps 3) (pow x 2))) (+ (/ (* (pow x 2) (- (pow x 2) 1)) (pow eps 3)) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))))))) (+ (* 2 (/ (* (- (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) x)) (+ (/ 1 x) (/ (pow (- (pow x 2) 1) 2) x)))) (- (pow x 2) 1)) (* (pow eps 3) x))) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) (* (pow eps 2) x))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (+ (/ 1 eps) (+ (/ 1 (* (pow eps 2) x)) (+ (/ 1 (pow eps 3)) (+ (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (pow (- (pow x 2) 1) 2)) (* (pow eps 3) (pow x 2))) (/ (pow (- (pow x 2) 1) 2) (* (pow eps 2) x)))))))))))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (pow x 3)))
(* (pow eps 6) (- (+ (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow eps 2)) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (pow x 3))) (/ x (pow eps 2))))
(* (pow eps 6) (- (+ (/ 1 (pow eps 3)) (+ (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow eps 2)) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (+ (/ (* (pow x 4) (- (pow x 2) 1)) (pow eps 3)) (pow x 3))))) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3)))))
(* (pow eps 4) x)
(* (pow eps 4) (- (+ x (/ (pow x 2) eps)) (/ 1 eps)))
(* (pow eps 2) (- (+ x (/ (pow x 2) eps)) (/ 1 eps)))
(/ (* (pow eps 2) (sin x)) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (/ (sin x) (cos x))))
(* eps (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 4) (+ (* 2 (/ (pow x 3) eps)) (pow x 2)))
(* (pow eps 4) (+ (* 2 (/ (pow x 3) eps)) (+ (/ (pow x 4) (pow eps 2)) (pow x 2))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x)))) eps)) (* -1 (pow x 2))))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (+ (* -1 (/ (- (+ 1 (* (pow x 2) (+ 1 (* -1 (pow x 2))))) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x))))) x)) (+ (/ 1 (pow x 2)) (/ (* (pow (+ 1 (* -1 (pow x 2))) 2) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) (pow x 2))))) eps)) (pow x 3))) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x)))) eps)) (* -1 (pow x 2))))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(* (pow eps 6) (+ (* -1 (/ (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) eps)) (pow x 3)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow x 2) (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3))) x) eps)) (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) eps)) (pow x 3)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (pow x 4) (+ 1 (* -1 (pow x 2)))) (+ 1 (* -1 (pow x 2)))) eps)) (* (pow x 2) (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)))) x) eps)) (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) eps)) (pow x 3)))
(* (pow eps 4) (+ x (* -1 (/ (+ 1 (* -1 (pow x 2))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ 1 (* -1 (pow x 2))) eps))))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps)))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (pow x 3)) (* -1 (/ (pow x 4) eps))) eps)) (pow x 2)))

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	eps	@	0	((* (+ (pow (tan x) 2) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (pow (tan x) 2) 1) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* x x) eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* (+ (/ (+ (* x x) 1) eps) x) eps) eps) (/ (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (- (* (* (+ eps x) eps) x) eps))) (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps)) (- (* (* (+ eps x) eps) x) eps) (- (tan (+ x eps)) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (+ (* eps (tan x)) 1)) (+ (* (pow (tan x) 2) eps) eps) (* (+ (* eps (tan x)) 1) eps) (* (+ (/ (+ (* x x) 1) eps) x) eps) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ eps x) eps) (pow (* (* (+ eps x) eps) x) 2))
8.0ms	eps	@	-inf	((* (+ (pow (tan x) 2) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (pow (tan x) 2) 1) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* x x) eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* (+ (/ (+ (* x x) 1) eps) x) eps) eps) (/ (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (- (* (* (+ eps x) eps) x) eps))) (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps)) (- (* (* (+ eps x) eps) x) eps) (- (tan (+ x eps)) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (+ (* eps (tan x)) 1)) (+ (* (pow (tan x) 2) eps) eps) (* (+ (* eps (tan x)) 1) eps) (* (+ (/ (+ (* x x) 1) eps) x) eps) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ eps x) eps) (pow (* (* (+ eps x) eps) x) 2))
7.0ms	eps	@	inf	((* (+ (pow (tan x) 2) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (pow (tan x) 2) 1) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* x x) eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* (+ (/ (+ (* x x) 1) eps) x) eps) eps) (/ (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (- (* (* (+ eps x) eps) x) eps))) (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps)) (- (* (* (+ eps x) eps) x) eps) (- (tan (+ x eps)) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (+ (* eps (tan x)) 1)) (+ (* (pow (tan x) 2) eps) eps) (* (+ (* eps (tan x)) 1) eps) (* (+ (/ (+ (* x x) 1) eps) x) eps) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ eps x) eps) (pow (* (* (+ eps x) eps) x) 2))
6.0ms	x	@	inf	((* (+ (pow (tan x) 2) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (pow (tan x) 2) 1) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* x x) eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* (+ (/ (+ (* x x) 1) eps) x) eps) eps) (/ (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (- (* (* (+ eps x) eps) x) eps))) (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps)) (- (* (* (+ eps x) eps) x) eps) (- (tan (+ x eps)) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (+ (* eps (tan x)) 1)) (+ (* (pow (tan x) 2) eps) eps) (* (+ (* eps (tan x)) 1) eps) (* (+ (/ (+ (* x x) 1) eps) x) eps) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ eps x) eps) (pow (* (* (+ eps x) eps) x) 2))
5.0ms	x	@	-inf	((* (+ (pow (tan x) 2) 1) (* (+ (* eps (tan x)) 1) eps)) (- (tan (+ x eps)) (tan x)) (+ (pow (tan x) 2) 1) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* x x) eps) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps (+ eps x)) x) eps) (* (* (+ (/ (+ (* x x) 1) eps) x) eps) eps) (/ (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (- (* (* (+ eps x) eps) x) eps))) (- (* (pow (* (* (+ eps x) eps) x) 2) (- (* (* (+ eps x) eps) x) eps)) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps))) (* (- (* (* (+ eps x) eps) x) eps) (* eps eps)) (- (* (* (+ eps x) eps) x) eps) (- (tan (+ x eps)) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (+ (* eps (tan x)) 1)) (+ (* (pow (tan x) 2) eps) eps) (* (+ (* eps (tan x)) 1) eps) (* (+ (/ (+ (* x x) 1) eps) x) eps) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ eps x) eps) (pow (* (* (+ eps x) eps) x) 2))

simplify187.0ms (1.5%)

Memory

27.4MiB live, 133.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	778	4316
1	2623	4060
0	8381	3755

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 140

Calls

Call 1

Inputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(* eps (pow x 2))
(+ eps (* x (- (* -1 (pow eps 2)) (* -2 (pow eps 2)))))
(+ eps (* x (- (+ (* -1 (pow eps 2)) (* x (- (* -1 (pow eps 3)) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (* -2 (pow eps 2)))))
(+ eps (* x (- (+ (* -1 (pow eps 2)) (* x (- (+ (* -1 (pow eps 3)) (* x (- (+ (* -2 (pow eps 2)) (pow eps 4)) (+ (* -2 (* eps (- (* -1 (pow eps 3)) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (+ (* 2 (pow eps 2)) (/ (* (+ (* -2 (pow eps 2)) (pow eps 4)) (- (* -1 (pow eps 2)) (* -2 (pow eps 2)))) (pow eps 2))))))) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (* -2 (pow eps 2)))))
(pow eps 3)
(- (* -1 (* (pow eps 4) x)) (* -1 (pow eps 3)))
(- (* x (- (* x (- (* -1 (pow eps 5)) (pow eps 3))) (pow eps 4))) (* -1 (pow eps 3)))
(- (* x (- (* x (- (+ (* -1 (pow eps 5)) (* (pow eps 2) (* x (+ (* -2 (pow eps 2)) (pow eps 4))))) (pow eps 3))) (pow eps 4))) (* -1 (pow eps 3)))
(* -1 (pow eps 3))
(+ (* -1 (pow eps 3)) (* (pow eps 4) x))
(+ (* -1 (pow eps 3)) (* x (+ (* (pow eps 3) x) (pow eps 4))))
(* -1 eps)
(- (* (pow eps 2) x) eps)
(- (* x (+ (* eps x) (pow eps 2))) eps)
(+ eps (* x (+ (* x (+ eps (* x (+ (* 1/3 (pow eps 2)) (pow eps 2))))) (pow eps 2))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(+ eps (* x (+ (* 1/3 (* (pow eps 2) (pow x 2))) (pow eps 2))))
(+ eps (* x (+ (* (pow x 2) (+ (* 2/15 (* (pow eps 2) (pow x 2))) (* 1/3 (pow eps 2)))) (pow eps 2))))
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(* (pow eps 4) (pow x 2))
(* (pow x 2) (+ (* 2 (* (pow eps 3) x)) (pow eps 4)))
(* (pow x 2) (+ (* x (+ (* 2 (pow eps 3)) (* (pow eps 2) x))) (pow eps 4)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* (pow x 2) (+ eps (/ (pow eps 2) x)))
(* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))
(* (pow x 2) (- (+ eps (+ (* -1 (/ eps (pow x 2))) (/ (pow eps 2) x))) (* -2 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ eps (+ (* -2 (/ (pow eps 2) (pow x 3))) (+ (* -1 (/ eps (pow x 2))) (/ (pow eps 2) x)))) (+ (* -4 (/ (pow eps 2) (pow x 3))) (+ (* -2 (/ eps (pow x 2))) (* 2 (/ (* eps (- (* -1 eps) (* -2 eps))) (pow x 3)))))))
(* (pow eps 3) (pow x 6))
(* (pow x 6) (+ (/ (* (pow eps 2) (+ (* 2 (pow eps 2)) (pow eps 2))) x) (pow eps 3)))
(* (pow x 6) (+ (/ (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3)))) (pow x 2)) (+ (/ (* (pow eps 2) (+ (* 2 (pow eps 2)) (pow eps 2))) x) (pow eps 3))))
(* (pow x 6) (+ (/ (* (pow eps 2) (+ (* -2 (pow eps 2)) (pow eps 4))) (pow x 3)) (+ (/ (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3)))) (pow x 2)) (+ (/ (* (pow eps 2) (+ (* 2 (pow eps 2)) (pow eps 2))) x) (pow eps 3)))))
(* (pow eps 3) (pow x 2))
(* (pow x 2) (+ (/ (pow eps 4) x) (pow eps 3)))
(* (pow x 2) (+ (* -1 (/ (pow eps 3) (pow x 2))) (+ (/ (pow eps 4) x) (pow eps 3))))
(* (pow x 2) (+ eps (+ (* -1 (/ eps (pow x 2))) (/ (pow eps 2) x))))
(* (+ 1 (/ (* eps (sin x)) (cos x))) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (+ (/ 1 (pow x 2)) (/ eps x))))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* (pow eps 2) (pow x 4))
(* (pow x 4) (+ (* 2 (/ (pow eps 3) x)) (pow eps 2)))
(* (pow x 4) (+ (* 2 (/ (pow eps 3) x)) (+ (/ (pow eps 4) (pow x 2)) (pow eps 2))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (- (* -1 eps) (* -2 eps)) x)) (* -1 (pow eps 2))) x))))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (- (+ (* -1 eps) (* -1 (/ (- (* -1 (pow eps 4)) (+ (* -2 (* eps (- (* -1 eps) (* -2 eps)))) (* -1 (+ (* -2 (pow eps 2)) (pow eps 4))))) x))) (* -2 eps)) x)) (* -1 (pow eps 2))) x))))
(* (pow x 6) (+ (* -1 (/ (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2)))) x)) (pow eps 3)))
(* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3)))) x)) (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2))))) x)) (pow eps 3)))
(* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (+ (* -1 (pow eps 4)) (* 2 (pow eps 2)))) x)) (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3))))) x)) (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2))))) x)) (pow eps 3)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (pow eps 4)) (/ (pow eps 3) x)) x)) (pow eps 3)))
(* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (pow eps 2)) (/ eps x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* (pow x 4) (+ (* -1 (/ (+ (* -2 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (pow eps 2)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -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)))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps x) (pow x 2))))
(/ (* eps (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 2))
(* eps (- (+ (* eps (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(* eps (- (+ (* eps (- (+ (* eps (- (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(* eps (- (+ (* eps (- (+ (* eps (- (+ (* eps (- (/ (pow x 3) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (pow (- (pow x 2) 1) 2))))) (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(* (pow eps 3) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (+ (* eps (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1))) (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (+ (* eps (+ (* eps (pow x 3)) (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)))) (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(* (pow eps 3) (- (pow x 2) 1))
(* (pow eps 3) (- (+ (* eps x) (pow x 2)) 1))
(* eps (- (pow x 2) 1))
(* eps (- (+ (* eps x) (pow x 2)) 1))
(+ 1 (+ (* eps x) (pow x 2)))
(* eps (+ eps x))
(* (pow eps 2) (+ (* 2 (* eps (pow x 3))) (pow x 4)))
(* (pow eps 2) (+ (* eps (+ (* 2 (pow x 3)) (* eps (pow x 2)))) (pow x 4)))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (pow x 2) eps)) (/ (pow x 2) eps))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (/ 1 eps))))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (* x (- (pow x 2) 1)) (pow eps 2))) (+ (* 2 (/ (pow x 2) eps)) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))))) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) (* (pow eps 2) x))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (+ (/ 1 eps) (+ (/ 1 (* (pow eps 2) x)) (/ (pow (- (pow x 2) 1) 2) (* (pow eps 2) x))))))))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (* x (- (pow x 2) 1)) (pow eps 2))) (+ (* 2 (/ (pow x 2) eps)) (+ (/ 1 (* (pow eps 3) (pow x 2))) (+ (/ (* (pow x 2) (- (pow x 2) 1)) (pow eps 3)) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))))))) (+ (* 2 (/ (* (- (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) x)) (+ (/ 1 x) (/ (pow (- (pow x 2) 1) 2) x)))) (- (pow x 2) 1)) (* (pow eps 3) x))) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) (* (pow eps 2) x))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (+ (/ 1 eps) (+ (/ 1 (* (pow eps 2) x)) (+ (/ 1 (pow eps 3)) (+ (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (pow (- (pow x 2) 1) 2)) (* (pow eps 3) (pow x 2))) (/ (pow (- (pow x 2) 1) 2) (* (pow eps 2) x)))))))))))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (pow x 3)))
(* (pow eps 6) (- (+ (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow eps 2)) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (pow x 3))) (/ x (pow eps 2))))
(* (pow eps 6) (- (+ (/ 1 (pow eps 3)) (+ (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow eps 2)) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (+ (/ (* (pow x 4) (- (pow x 2) 1)) (pow eps 3)) (pow x 3))))) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3)))))
(* (pow eps 4) x)
(* (pow eps 4) (- (+ x (/ (pow x 2) eps)) (/ 1 eps)))
(* (pow eps 2) (- (+ x (/ (pow x 2) eps)) (/ 1 eps)))
(/ (* (pow eps 2) (sin x)) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (/ (sin x) (cos x))))
(* eps (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 4) (+ (* 2 (/ (pow x 3) eps)) (pow x 2)))
(* (pow eps 4) (+ (* 2 (/ (pow x 3) eps)) (+ (/ (pow x 4) (pow eps 2)) (pow x 2))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x)))) eps)) (* -1 (pow x 2))))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (+ (* -1 (/ (- (+ 1 (* (pow x 2) (+ 1 (* -1 (pow x 2))))) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x))))) x)) (+ (/ 1 (pow x 2)) (/ (* (pow (+ 1 (* -1 (pow x 2))) 2) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) (pow x 2))))) eps)) (pow x 3))) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x)))) eps)) (* -1 (pow x 2))))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(* (pow eps 6) (+ (* -1 (/ (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) eps)) (pow x 3)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow x 2) (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3))) x) eps)) (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) eps)) (pow x 3)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (pow x 4) (+ 1 (* -1 (pow x 2)))) (+ 1 (* -1 (pow x 2)))) eps)) (* (pow x 2) (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)))) x) eps)) (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) eps)) (pow x 3)))
(* (pow eps 4) (+ x (* -1 (/ (+ 1 (* -1 (pow x 2))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ 1 (* -1 (pow x 2))) eps))))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps)))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (pow x 3)) (* -1 (/ (pow x 4) eps))) eps)) (pow x 2)))

Outputs
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 (+.f64 eps x) eps) x eps)
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 eps eps) x) eps) x (*.f64 eps eps)) x eps)
(/ (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 x (/.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 (* (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 (fma.f64 (*.f64 x (sin.f64 eps)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.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 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 eps eps) x) eps) x (*.f64 eps eps)) x eps)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(+ eps (* x (- (* -1 (pow eps 2)) (* -2 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (- (+ (* -1 (pow eps 2)) (* x (- (* -1 (pow eps 3)) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (* -2 (pow eps 2)))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) eps (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2 binary64) (pow.f64 eps #s(literal 3 binary64))))) x (*.f64 eps eps)) x eps)
(+ eps (* x (- (+ (* -1 (pow eps 2)) (* x (- (+ (* -1 (pow eps 3)) (* x (- (+ (* -2 (pow eps 2)) (pow eps 4)) (+ (* -2 (* eps (- (* -1 (pow eps 3)) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (+ (* 2 (pow eps 2)) (/ (* (+ (* -2 (pow eps 2)) (pow eps 4)) (- (* -1 (pow eps 2)) (* -2 (pow eps 2)))) (pow eps 2))))))) (+ eps (+ (* -2 eps) (+ (* -2 (* eps (- (* -1 (pow eps 2)) (* -2 (pow eps 2))))) (pow eps 3))))))) (* -2 (pow eps 2)))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) eps (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (-.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) eps (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 #s(literal -2 binary64) eps) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) eps (pow.f64 eps #s(literal 4 binary64))) eps) (/.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) #s(literal 2 binary64))))) x (neg.f64 (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) eps (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2 binary64) (pow.f64 eps #s(literal 3 binary64))))) x (*.f64 eps eps)) x eps)
(pow eps 3)
(pow.f64 eps #s(literal 3 binary64))
(- (* -1 (* (pow eps 4) x)) (* -1 (pow eps 3)))
(fma.f64 (neg.f64 x) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(- (* x (- (* x (- (* -1 (pow eps 5)) (pow eps 3))) (pow eps 4))) (* -1 (pow eps 3)))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 3 binary64))) x) (pow.f64 eps #s(literal 4 binary64))) x (pow.f64 eps #s(literal 3 binary64)))
(- (* x (- (* x (- (+ (* -1 (pow eps 5)) (* (pow eps 2) (* x (+ (* -2 (pow eps 2)) (pow eps 4))))) (pow eps 3))) (pow eps 4))) (* -1 (pow eps 3)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) eps (pow.f64 eps #s(literal 4 binary64))) x) eps))) x (neg.f64 (pow.f64 eps #s(literal 4 binary64)))) x (pow.f64 eps #s(literal 3 binary64)))
(* -1 (pow eps 3))
(neg.f64 (pow.f64 eps #s(literal 3 binary64)))
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(* (pow eps 2) (pow x 4))
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(* (pow x 4) (+ (* 2 (/ (pow eps 3) x)) (+ (/ (pow eps 4) (pow x 2)) (pow eps 2))))
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(* (pow x 6) (+ (* -1 (/ (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2)))) x)) (pow eps 3)))
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(* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (+ (* -1 (pow eps 4)) (* 2 (pow eps 2)))) x)) (* (pow eps 2) (+ (* -1 eps) (+ (* 2 (pow eps 3)) (pow eps 3))))) x)) (* (pow eps 2) (+ (* -2 (pow eps 2)) (* -1 (pow eps 2))))) x)) (pow eps 3)))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (pow eps 4)) (/ (pow eps 3) x)) x)) (pow eps 3)))
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(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* 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)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (+ (* eps x) (pow x 2))))
(fma.f64 (*.f64 (+.f64 eps x) eps) x eps)
(/ (* eps (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 2))
(.f64 eps (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))
(* eps (- (+ (* eps (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))) eps (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) eps)
(* eps (- (+ (* eps (- (+ (* eps (- (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -1 binary64)) x) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 4 binary64))))) eps (-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))))) eps (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))) eps)
(* eps (- (+ (* eps (- (+ (* eps (- (+ (* eps (- (/ (pow x 3) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (pow (- (pow x 2) 1) 2))))) (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2)) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (- (pow x 2) 1))) (/ (* (pow x 2) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 4))))) (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow (- (pow x 2) 1) 2))) (+ (* 2 (/ (* x (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2))) (pow (- (pow x 2) 1) 3))) (/ x (pow (- (pow x 2) 1) 2))))) (+ (/ 1 (pow (- (pow x 2) 1) 2)) (/ (pow x 4) (- (pow x 2) 1)))) (/ (pow x 2) (pow (- (pow x 2) 1) 2))))
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(* (pow eps 3) (- (+ 1 (* (pow x 4) (- (pow x 2) 1))) (pow x 2)))
(.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x (neg.f64 x)) eps (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (+ (* eps (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1))) (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(.f64 (-.f64 (fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x (neg.f64 x))) eps (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (+ 1 (+ (* eps (- (+ (* eps (+ (* eps (pow x 3)) (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)))) (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)))) x)) (* (pow x 4) (- (pow x 2) 1)))) (pow x 2)))
(.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -1 binary64)) x) x (.f64 (pow.f64 x #s(literal 3 binary64)) eps)) eps (neg.f64 x))) eps (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (pow x 2) 1))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (+ (* eps x) (pow x 2)) 1))
(*.f64 (fma.f64 (+.f64 eps x) x #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* eps (- (pow x 2) 1))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) eps)
(* eps (- (+ (* eps x) (pow x 2)) 1))
(*.f64 (fma.f64 (+.f64 eps x) x #s(literal -1 binary64)) eps)
(+ 1 (+ (* eps x) (pow x 2)))
(fma.f64 (+.f64 eps x) x #s(literal 1 binary64))
(* eps (+ eps x))
(*.f64 (+.f64 eps x) eps)
(* (pow eps 2) (+ (* 2 (* eps (pow x 3))) (pow x 4)))
(.f64 (.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) eps) eps)
(* (pow eps 2) (+ (* eps (+ (* 2 (pow x 3)) (* eps (pow x 2)))) (pow x 4)))
(.f64 (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (.f64 x x) eps)) eps (pow.f64 x #s(literal 4 binary64))) eps) eps)
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(.f64 eps (/.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x)) (cos.f64 x)))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 2) x)
(.f64 (.f64 eps eps) x)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) eps)) (/.f64 (.f64 x x) eps)) (*.f64 eps eps))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (pow x 2) eps)) (/ (pow x 2) eps))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (/ 1 eps))))
(.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x x) eps) (-.f64 x (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) eps) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 eps eps))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (* x (- (pow x 2) 1)) (pow eps 2))) (+ (* 2 (/ (pow x 2) eps)) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))))) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) (* (pow eps 2) x))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (+ (/ 1 eps) (+ (/ 1 (* (pow eps 2) x)) (/ (pow (- (pow x 2) 1) 2) (* (pow eps 2) x))))))))
(.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x x) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) eps) (/.f64 (fma.f64 x x #s(literal -1 binary64)) eps) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 eps eps)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) eps)) (+.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 eps eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) x))) (/.f64 #s(literal 1 binary64) eps)))) (.f64 eps eps))
(* (pow eps 2) (- (+ x (+ (* 2 (/ (* x (- (pow x 2) 1)) (pow eps 2))) (+ (* 2 (/ (pow x 2) eps)) (+ (/ 1 (* (pow eps 3) (pow x 2))) (+ (/ (* (pow x 2) (- (pow x 2) 1)) (pow eps 3)) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))))))) (+ (* 2 (/ (* (- (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3)) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) x)) (+ (/ 1 x) (/ (pow (- (pow x 2) 1) 2) x)))) (- (pow x 2) 1)) (* (pow eps 3) x))) (+ (* 2 (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (- (pow x 2) 1)) (* (pow eps 2) x))) (+ (* 2 (/ (- (pow x 2) 1) eps)) (+ (/ 1 eps) (+ (/ 1 (* (pow eps 2) x)) (+ (/ 1 (pow eps 3)) (+ (/ (* (- (+ (* 2 (pow x 2)) (pow x 2)) (+ 1 (* 2 (- (pow x 2) 1)))) (pow (- (pow x 2) 1) 2)) (* (pow eps 3) (pow x 2))) (/ (pow (- (pow x 2) 1) 2) (* (pow eps 2) x)))))))))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 eps eps)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x x) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps))))) x) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 eps eps)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) eps)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) x))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 eps eps) x))))))) (*.f64 eps eps))
(* (pow eps 6) (pow x 3))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow eps 6) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (pow x 3)))
(.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -1 binary64)) eps) x)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow eps 2)) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (pow x 3))) (/ x (pow eps 2))))
(.f64 (fma.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 eps eps)) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -1 binary64)) eps)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ (/ 1 (pow eps 3)) (+ (/ (* (pow x 2) (+ (* 2 (* x (- (pow x 2) 1))) (pow x 3))) (pow eps 2)) (+ (/ (* (pow x 2) (- (+ (* 2 (pow x 2)) (pow x 2)) 1)) eps) (+ (/ (* (pow x 4) (- (pow x 2) 1)) (pow eps 3)) (pow x 3))))) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3)))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 eps eps)) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -1 binary64)) eps)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x x) (pow.f64 eps #s(literal 3 binary64))) (/.f64 x (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) (- (+ x (/ (pow x 2) eps)) (/ 1 eps)))
(*.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) eps)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 2) (- (+ x (/ (pow x 2) eps)) (/ 1 eps)))
(.f64 (.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) eps)) eps) eps)
(/ (* (pow eps 2) (sin x)) (cos x))
(.f64 (.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(* (pow eps 2) (+ (/ 1 eps) (/ (sin x) (cos x))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 eps eps))
(* eps (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))
(.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) eps)) (/.f64 (.f64 x x) eps)) eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps) eps)
(* (pow eps 4) (+ (* 2 (/ (pow x 3) eps)) (pow x 2)))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2 binary64) (.f64 x x)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* 2 (/ (pow x 3) eps)) (+ (/ (pow x 4) (pow eps 2)) (pow x 2))))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2 binary64) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps eps)))) (pow.f64 eps #s(literal 4 binary64)))
(- (/ (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)))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))))
(.f64 (-.f64 x (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) eps)) (.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(.f64 (-.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)))) eps)) (.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x)))) eps)) (* -1 (pow x 2))))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(.f64 (-.f64 x (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)))) x) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 eps))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64))) eps)) (.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ (- (+ 1 (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (+ (* -1 (/ (- (+ 1 (* (pow x 2) (+ 1 (* -1 (pow x 2))))) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x))))) x)) (+ (/ 1 (pow x 2)) (/ (* (pow (+ 1 (* -1 (pow x 2))) 2) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) (pow x 2))))) eps)) (pow x 3))) (+ (* 2 (/ (* (+ 1 (* -1 (pow x 2))) (- (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* 2 (+ 1 (* -1 (pow x 2)))))) x)) (+ (/ 1 x) (/ (pow (+ 1 (* -1 (pow x 2))) 2) x)))) eps)) (* -1 (pow x 2))))) (* 2 (+ 1 (* -1 (pow x 2))))) eps))))
(.f64 (-.f64 x (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) #s(literal -2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)))) x) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))) x) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))) eps))) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)))) x) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 eps))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64))) eps)) (.f64 eps eps))
(* (pow eps 6) (+ (* -1 (/ (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) eps)) (pow x 3)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1 binary64)) eps) (pow.f64 x #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow x 2) (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3))) x) eps)) (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) eps)) (pow x 3)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x (neg.f64 x)) (neg.f64 eps))) eps)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (pow x 4) (+ 1 (* -1 (pow x 2)))) (+ 1 (* -1 (pow x 2)))) eps)) (* (pow x 2) (+ (* -2 (* x (+ 1 (* -1 (pow x 2))))) (pow x 3)))) x) eps)) (* (pow x 2) (+ 1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) eps)) (pow x 3)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 1 binary64)) x) x (/.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) x (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 x x)) (neg.f64 eps))) x) (neg.f64 eps))) eps)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 4) (+ x (* -1 (/ (+ 1 (* -1 (pow x 2))) eps))))
(.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) eps)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 2) (+ x (* -1 (/ (+ 1 (* -1 (pow x 2))) eps))))
(.f64 (.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) eps)) eps) eps)
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(.f64 eps (/.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x)) (cos.f64 x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)) (.f64 eps eps))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps)))))
(*.f64 eps (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (pow x 3)) (* -1 (/ (pow x 4) eps))) eps)) (pow x 2)))
(*.f64 (fma.f64 x x (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 eps))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64)))

rewrite254.0ms (2%)

Memory

-24.7MiB live, 230.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	548
0	86	534
1	360	445
2	3006	393
0	9138	385

Stop Event

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

Counts

24 → 546

Calls

Call 1

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

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

eval162.0ms (1.3%)

Memory: 16.2MiB live, 205.6MiB allocated
Compiler: Compiled 70 044 to 4 652 computations (93.4% saved)

prune38.0ms (0.3%)

Memory

-8.5MiB live, 77.6MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	897	4	901
Fresh	1	7	8
Picked	1	4	5
Done	0	4	4
Total	899	19	918

Accuracy

100.0%

Counts

918 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x)))))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (pow (tan x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (pow (tan x) 2) (*.f64 x x)) eps eps))
✓	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(approx ( (+ (* eps (tan x)) 1) eps) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps)) x eps))))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
✓	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (pow (tan x) 2) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) eps) (.f64 x x) eps) (.f64 x x) eps)))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
✓	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
	31.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (.f64 (.f64 (+.f64 eps x) eps) x)) (.f64 (.f64 (+.f64 eps x) eps) x) (.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) eps) (neg.f64 eps))) (.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) x) eps)))))
✓	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) eps))))
✓	6.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 x x) eps))))
	6.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 eps x) x))))

Compiler

Compiled 1 772 to 605 computations (65.9% saved)

regimes32.0ms (0.2%)

Memory

-0.3MiB live, 38.1MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))

Calls

3 calls:

11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory

-12.3MiB live, 26.2MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	eps
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.2%)

Memory

-8.2MiB live, 30.5MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes36.0ms (0.3%)

Memory

-23.6MiB live, 24.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))

Calls

3 calls:

26.0ms	eps
5.0ms	x
5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory

-19.2MiB live, 19.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps 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
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (*.f64 (*.f64 eps x) x))))

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (*.f64 (*.f64 x x) eps))))

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`eps`
99.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (*.f64 (*.f64 eps x) x))))

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (*.f64 (*.f64 x x) eps))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (*.f64 (*.f64 eps x) x))))

Calls

3 calls:

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

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 9 to 10 computations (-11.1% saved)

simplify85.0ms (0.7%)

Memory

-16.5MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	320
1	123	320
2	212	320
3	513	320
4	1427	320
5	2468	320
6	3812	320
7	5009	320
8	7328	320

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(approx ( (+ (* eps (tan x)) 1) eps) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps)) x eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps) (fma.f64 eps (tan.f64 x) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (pow (tan x) 2) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps (+ eps x)) x) eps) (.f64 (.f64 eps x) x))))

soundness1.7s (13.1%)

Memory

17.1MiB live, 847.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	2500
1	1839	2388
2	5640	2278
0	8141	2125
0	157	950
1	464	884
2	1539	873
3	6077	710
0	8335	686
0	778	4316
1	2623	4060
0	8381	3755
0	54	376
0	83	357
1	359	303
2	3018	303
0	9408	303
0	40	231
0	72	223
1	289	160
2	2303	160
0	8494	156
0	58	548
0	86	534
1	360	445
2	3006	393
0	9138	385
0	349	1471
1	1138	1414
2	3502	1351
0	8186	1250

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 614 to 299 computations (51.3% saved)

preprocess118.0ms (0.9%)

Memory: -10.7MiB live, 64.4MiB allocated
Compiler: Compiled 678 to 196 computations (71.1% 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	312	35
5	383	35
6	469	35
7	509	35
8	521	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	110	7
8	159	7
9	175	7
10	183	7
0	183	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	110	18
8	159	18
9	175	18
10	183	18
0	183	18

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	312	35
5	383	35
6	469	35
7	509	35
8	521	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	110	7
8	159	7
9	175	7
10	183	7
0	183	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	110	18
8	159	18
9	175	18
10	183	18
0	183	18

start0.0ms (0%)

analyze62.0ms (0.5%)

sample6.3s (50%)

explain184.0ms (1.5%)

preprocess21.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize49.0ms (0.4%)

series11.0ms (0.1%)

simplify165.0ms (1.3%)

rewrite186.0ms (1.5%)

eval90.0ms (0.7%)

prune11.0ms (0.1%)

simplify131.0ms (1%)

localize158.0ms (1.2%)

series83.0ms (0.7%)

simplify418.0ms (3.3%)

rewrite185.0ms (1.5%)

eval159.0ms (1.3%)

prune24.0ms (0.2%)

simplify210.0ms (1.7%)

localize265.0ms (2.1%)

series44.0ms (0.3%)

simplify188.0ms (1.5%)

rewrite188.0ms (1.5%)

eval85.0ms (0.7%)

prune32.0ms (0.3%)

simplify406.0ms (3.2%)

localize210.0ms (1.7%)

series92.0ms (0.7%)

simplify187.0ms (1.5%)

rewrite254.0ms (2%)

eval162.0ms (1.3%)

prune38.0ms (0.3%)

regimes32.0ms (0.2%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes36.0ms (0.3%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify85.0ms (0.7%)

soundness1.7s (13.1%)

preprocess118.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	312	35
5	383	35
6	469	35
7	509	35
8	521	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	110	7
8	159	7
9	175	7
10	183	7
0	183	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	110	18
8	159	18
9	175	18
10	183	18
0	183	18