Metrics for Trigonometry B

analyze126.0ms (1%)

Memory

-20.0MiB live, 260.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.0s (8.4%)

Memory

12.4MiB live, 1 173.4MiB allocated

Samples

767.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

ival-div: 227.0ms (38.6% of total)

ival-tan: 210.0ms (35.7% of total)

ival-mult: 57.0ms (9.7% of total)

ival-add: 40.0ms (6.8% of total)

ival-sub: 39.0ms (6.6% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess517.0ms (4.2%)

Memory

-15.2MiB live, 354.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
2 342×	`lower--.f32`
2 340×	`lower--.f64`
2 012×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	31	30
2	64	30
3	165	30
4	383	30
5	714	30
6	1303	30
7	1754	30
8	2899	30
9	4148	30
10	5113	30
11	6330	30
12	7186	30
13	7657	30
14	7901	30
15	7971	30
0	7	15
0	12	15
1	23	15
2	34	15
3	53	15
4	92	15
5	155	15
6	254	15
7	565	15
8	1249	15
9	2973	15
10	4326	15
11	5404	15
12	6158	15
13	6507	15
14	6636	15
15	6697	15
16	7563	15
0	8150	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Outputs

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

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

Symmetry

(abs x)

explain147.0ms (1.2%)

Memory

-10.1MiB live, 110.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (tan.f64 x) (tan.f64 x))`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
-	-	`#s(literal 1 binary64)`
-	-	`(tan.f64 x)`
-	-	`(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

70.0ms

512×

valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 32.0ms (60.2% of total)

ival-tan: 12.0ms (22.6% of total)

ival-mult: 3.0ms (5.6% of total)

ival-sub: 2.0ms (3.8% of total)

ival-add: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 16 to 7 computations (56.3% saved)

simplify507.0ms (4.1%)

Memory

18.2MiB live, 254.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
2 342×	`lower--.f32`
2 340×	`lower--.f64`
2 012×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	38
0	12	38
1	23	38
2	34	38
3	53	38
4	92	38
5	155	38
6	254	38
7	565	38
8	1249	38
9	2973	38
10	4326	38
11	5404	38
12	6158	38
13	6507	38
14	6636	38
15	6697	38
16	7563	38
0	8150	36

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (0.6%)

Memory

-19.6MiB live, 19.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

18.0ms

256×

valid

Compiler

Compiled 40 to 9 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-tan: 6.0ms (51% of total)

ival-mult: 2.0ms (17% of total)

ival-sub: 1.0ms (8.5% of total)

ival-div: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))>
#<alt (*.f64 (tan.f64 x) (tan.f64 x))>

Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ 1 (* (tan x) (tan x)))
1.0ms	x	@	0	(* (tan x) (tan x))
1.0ms	x	@	inf	(+ 1 (* (tan x) (tan x)))
1.0ms	x	@	inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	-inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

rewrite435.0ms (3.6%)

Memory

24.3MiB live, 298.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 320×	`lower-fma.f64`
3 320×	`lower-fma.f32`
2 864×	`lower-*.f32`
2 862×	`lower-*.f64`
2 666×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	34
0	12	29
1	51	29
2	359	29
3	5062	17
0	10307	17

Stop Event

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

Counts

4 → 373

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
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(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (exp.f64 (log.f64 (cos.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

simplify883.0ms (7.2%)

Memory

0.2MiB live, 512.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 148×	`lower-fma.f64`
16 148×	`lower-fma.f32`
2 936×	`lower-*.f64`
2 936×	`lower-*.f32`
2 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	603
1	151	602
2	409	588
3	1153	588
4	2141	588
5	3924	588
6	5296	588
0	8024	567

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval57.0ms (0.5%)

Memory: 5.6MiB live, 122.5MiB allocated
Compiler: Compiled 13 505 to 1 022 computations (92.4% saved)

prune75.0ms (0.6%)

Memory

-23.9MiB live, 215.1MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	451	28	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	452	28	480

Accuracy

100.0%

Counts

480 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
	99.2%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (fma.f64 (neg.f64 (.f64 (tan.f64 x) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
▶	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	52.3%	#s(literal 1 binary64)

Compiler

Compiled 1 224 to 690 computations (43.6% saved)

simplify378.0ms (3.1%)

Memory

7.9MiB live, 731.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))

Rules

19 770×	`lower-fma.f64`
19 770×	`lower-fma.f32`
3 044×	`lower-*.f32`
3 038×	`lower-*.f64`
2 476×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	307
0	53	295
1	93	295
2	145	295
3	295	292
4	858	283
5	3368	283
6	7314	283
0	8065	274

Stop Event

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

Calls

Call 1

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

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

localize188.0ms (1.5%)

Memory

26.8MiB live, 427.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
✓	accuracy	99.7%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	accuracy	80.6%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.4%	(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

65.0ms	84×	2	valid
41.0ms	137×	0	valid
14.0ms	31×	1	valid
4.0ms	4×	3	valid

Compiler

Compiled 309 to 31 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-cos: 20.0ms (21% of total)

ival-div: 17.0ms (17.9% of total)

adjust: 13.0ms (13.7% of total)

ival-sub: 9.0ms (9.5% of total)

ival-mult: 8.0ms (8.4% of total)

ival-tan: 7.0ms (7.4% of total)

ival-add: 7.0ms (7.4% of total)

ival-sin: 5.0ms (5.3% of total)

ival-pow: 4.0ms (4.2% of total)

ival-pow2: 4.0ms (4.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series23.0ms (0.2%)

Memory

-32.4MiB live, 47.8MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt x>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (- 1 (/ (- 1/2 (* 1/2 (cos (+ x x)))) (+ 1/2 (* 1/2 (cos (+ x x)))))) (+ 1 (* (tan x) (tan x))))
2.0ms	x	@	-inf	(+ 1 (* (sin x) (/ (sin x) (+ 1/2 (* 1/2 (cos (+ x x)))))))
2.0ms	x	@	inf	(/ (- 1 (/ (- 1/2 (* 1/2 (cos (+ x x)))) (+ 1/2 (* 1/2 (cos (+ x x)))))) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	-inf	(/ (- 1/2 (* 1/2 (cos (+ x x)))) (+ 1/2 (* 1/2 (cos (+ x x)))))
1.0ms	x	@	inf	(/ (- 1/2 (* 1/2 (cos (+ x x)))) (+ 1/2 (* 1/2 (cos (+ x x)))))

rewrite421.0ms (3.4%)

Memory

28.9MiB live, 695.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 580×	`lower-*.f32`
4 574×	`lower-*.f64`
4 416×	`lower-/.f32`
4 408×	`lower-/.f64`
3 476×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	188
0	53	131
1	226	109
2	1763	109
0	8120	109

Stop Event

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

Counts

16 → 1 481

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
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(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
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(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))

simplify385.0ms (3.1%)

Memory

18.4MiB live, 531.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 156×	`lower-fma.f64`
16 156×	`lower-fma.f32`
4 918×	`lower-*.f64`
4 918×	`lower-*.f32`
3 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	2645
1	427	2642
2	1034	2512
3	3147	2488
4	5844	2448
5	7975	2448
0	8062	2313

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

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

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/45 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
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(+ 1 (* -2 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
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#s(literal 1 binary64)
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(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
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(pow x 2)
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(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
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1
#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (pow (sin x) 2) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64))) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)
(/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))

eval294.0ms (2.4%)

Memory: 14.4MiB live, 511.3MiB allocated
Compiler: Compiled 84 417 to 3 298 computations (96.1% saved)

prune194.0ms (1.6%)

Memory

-7.9MiB live, 388.3MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	2 190	20	2 210
Fresh	15	8	23
Picked	4	1	5
Done	0	0	0
Total	2 209	29	2 238

Accuracy

100.0%

Counts

2 238 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.9%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
	99.0%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.8%	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	52.6%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (fma.f64 (neg.f64 (.f64 (tan.f64 x) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
▶	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.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)))))
	99.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.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))))
	99.6%	(*.f64 (/.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))))
✓	52.3%	#s(literal 1 binary64)

Compiler

Compiled 1 342 to 740 computations (44.9% saved)

simplify496.0ms (4%)

Memory

-5.4MiB live, 672.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	5760	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	384	(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))

Rules

24 190×	`lower-fma.f32`
24 182×	`lower-fma.f64`
4 094×	`lower-*.f32`
4 088×	`lower-*.f64`
2 230×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	319
0	70	295
1	120	295
2	183	295
3	369	295
4	1134	283
5	4907	283
0	8410	283

Stop Event

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

Calls

Call 1

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

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

localize257.0ms (2.1%)

Memory

6.1MiB live, 365.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal -2 binary64))
✓	accuracy	99.2%	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.6%	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.3%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	accuracy	80.6%	(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	80.6%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))

Samples

97.0ms	104×	2	valid
46.0ms	137×	0	valid
9.0ms	6×	3	valid
5.0ms	9×	1	valid

Compiler

Compiled 332 to 42 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

adjust: 22.0ms (17.9% of total)

ival-cos: 21.0ms (17% of total)

ival-div: 20.0ms (16.2% of total)

ival-add: 19.0ms (15.4% of total)

ival-mult: 16.0ms (13% of total)

ival-pow: 7.0ms (5.7% of total)

ival-sub: 6.0ms (4.9% of total)

ival-tan: 6.0ms (4.9% of total)

ival-pow2: 3.0ms (2.4% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series22.0ms (0.2%)

Memory

-7.6MiB live, 33.3MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 1)) 1)>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ (+ (* (cos (+ x x)) -1/2) 1/2) (+ (* 1/2 (cos (+ x x))) 1/2))
1.0ms	x	@	-inf	(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	inf	(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	inf	(/ (+ (* (cos (+ x x)) -1/2) 1/2) (+ (* 1/2 (cos (+ x x))) 1/2))
1.0ms	x	@	-inf	(/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x))))

rewrite445.0ms (3.6%)

Memory

48.5MiB live, 796.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 320×	`lower-fma.f32`
4 312×	`lower-fma.f64`
3 576×	`lower-/.f32`
3 568×	`lower-/.f64`
3 460×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	178
0	64	189
1	270	122
2	1838	122
0	8923	122

Stop Event

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

Counts

21 → 1 632

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (cos.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
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(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)))))
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (tan.f64 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))

simplify567.0ms (4.6%)

Memory

-50.1MiB live, 803.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 890×	`lower-fma.f64`
16 890×	`lower-fma.f32`
5 728×	`lower-*.f64`
5 728×	`lower-*.f32`
2 994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	2846
1	422	2841
2	1071	2764
3	3307	2748
4	4639	2700
5	6228	2700
0	8116	2563

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 251

Calls

Call 1

Inputs
(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))))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(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))))))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
1
(+ 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)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos 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))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 1)) 1)
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
1
(+ 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)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
1
(+ 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)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ 1 (pow x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64))) x))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64))) x))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) x))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64))) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) x))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#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 x (fma.f64 x (.f64 x (.f64 x #s(literal 2/3 binary64))) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) (.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/189 binary64) #s(literal 1/15 binary64))) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (.f64 x x))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))

eval428.0ms (3.5%)

Memory: 43.4MiB live, 976.4MiB allocated
Compiler: Compiled 83 933 to 4 595 computations (94.5% saved)

prune542.0ms (4.4%)

Memory

-259.3MiB live, 918.4MiB allocated

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	2 518	18	2 536
Fresh	3	20	23
Picked	3	2	5
Done	0	1	1
Total	2 524	41	2 565

Accuracy

100.0%

Counts

2 565 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
▶	99.0%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.8%	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	52.6%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	47.1%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.0%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	56.8%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.4%	(/.f64 (fma.f64 (neg.f64 (.f64 (tan.f64 x) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	47.3%	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
	99.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.0%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	56.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
	51.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
▶	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	58.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
▶	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	47.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
	47.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.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)))))
	47.3%	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
	99.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.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))))
	99.6%	(*.f64 (/.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))))
▶	2.7%	(.f64 x (.f64 x #s(literal -2 binary64)))
✓	52.3%	#s(literal 1 binary64)

Compiler

Compiled 1 813 to 1 009 computations (44.3% saved)

simplify270.0ms (2.2%)

Memory

25.8MiB live, 501.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	384	(fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))
✓	cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	704	(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
✓	cost-diff	384	(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))

Rules

8 444×	`lower-fma.f32`
8 438×	`lower-fma.f64`
2 912×	`lower-*.f32`
2 904×	`lower-*.f64`
2 056×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	381
0	72	360
1	134	358
2	240	356
3	601	354
4	1887	344
5	4884	344
0	8023	344

Stop Event

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

Calls

Call 1

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

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

localize300.0ms (2.4%)

Memory

-31.4MiB live, 409.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.3%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
✓	accuracy	80.6%	(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.4%	(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.1%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))
✓	accuracy	80.6%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.3%	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
✓	accuracy	99.3%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
✓	accuracy	80.6%	(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	80.6%	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))

Samples

134.0ms	85×	2	valid
50.0ms	137×	0	valid
17.0ms	27×	1	valid
11.0ms	7×	3	valid

Compiler

Compiled 401 to 42 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-cos: 43.0ms (24.8% of total)

ival-mult: 40.0ms (23.1% of total)

ival-div: 27.0ms (15.6% of total)

adjust: 17.0ms (9.8% of total)

ival-add: 16.0ms (9.2% of total)

ival-sub: 13.0ms (7.5% of total)

ival-tan: 6.0ms (3.5% of total)

ival-pow: 5.0ms (2.9% of total)

ival-pow2: 3.0ms (1.7% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series14.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))>
#<alt (/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))>
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (- 1 (cos (* -2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt 2>
#<alt (+ 2 (* -2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt (+ 1 (cos (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (pow x 2)))) 2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (- 1 (/ (- 1 (cos (* x -2))) (+ 1 (cos (* x -2))))) (+ 1 (/ (+ (* (cos (+ x x)) -1/2) 1/2) (+ (* 1/2 (cos (+ x x))) 1/2))))
2.0ms	x	@	inf	(/ (- 1 (/ (- 1 (cos (* x -2))) (+ 1 (cos (* x -2))))) (+ 1 (/ (+ (* (cos (+ x x)) -1/2) 1/2) (+ (* 1/2 (cos (+ x x))) 1/2))))
1.0ms	x	@	inf	(/ (- 1 (/ (- 1/2 (* 1/2 (cos (+ x x)))) 1)) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	-inf	(/ (- 1 (/ (- 1/2 (* 1/2 (cos (+ x x)))) 1)) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	inf	(/ (- 1 (cos (* x -2))) (+ 1 (cos (* x -2))))

rewrite432.0ms (3.5%)

Memory

5.7MiB live, 602.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 044×	`lower-/.f32`
5 028×	`lower-/.f64`
2 852×	`lower-fma.f32`
2 846×	`lower-fma.f64`
2 790×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	240
0	70	249
1	321	158
2	2834	155
0	9713	155

Stop Event

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

Counts

23 → 1 498

Calls

Call 1

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

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

simplify455.0ms (3.7%)

Memory

14.2MiB live, 605.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 396×	`lower-fma.f64`
17 396×	`lower-fma.f32`
4 808×	`lower-*.f64`
4 808×	`lower-*.f32`
4 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	3360
1	472	3355
2	1092	3206
3	2978	2910
4	6053	2910
0	8212	2754

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(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))))))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 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)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
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)))))))
(/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(- 1 (cos (* -2 x)))
(- 1 (cos (* -2 x)))
(- 1 (cos (* -2 x)))
(- 1 (cos (* -2 x)))
(- 1 (cos (* -2 x)))
(- 1 (cos (* -2 x)))
(- 1 (cos (* -2 x)))
(- 1 (cos (* -2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
1
(+ 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)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
2
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (cos (* -2 x)))
(+ 1 (cos (* -2 x)))
(+ 1 (cos (* -2 x)))
(+ 1 (cos (* -2 x)))
(+ 1 (cos (* -2 x)))
(+ 1 (cos (* -2 x)))
(+ 1 (cos (* -2 x)))
(+ 1 (cos (* -2 x)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (pow x 2)))) 2)))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x))))) (+ 1 (+ (* -1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(- (+ 1 (/ (cos (* -2 x)) (+ 1 (cos (* -2 x))))) (/ 1 (+ 1 (cos (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(/ (- 1 (cos (* -2 x))) (+ 1 (cos (* -2 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
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(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/315 binary64)) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (cos (* -2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (cos (* -2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -34/45 binary64) #s(literal 5/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) (.f64 x (*.f64 x x)) x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))

eval319.0ms (2.6%)

Memory: -0.8MiB live, 615.5MiB allocated
Compiler: Compiled 77 407 to 5 084 computations (93.4% saved)

prune299.0ms (2.4%)

Memory

-15.2MiB live, 597.1MiB allocated

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	2 124	19	2 143
Fresh	7	26	33
Picked	3	2	5
Done	0	3	3
Total	2 134	50	2 184

Accuracy

100.0%

Counts

2 184 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
	99.0%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.8%	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	52.6%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	47.1%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.0%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	56.8%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.4%	(/.f64 (fma.f64 (neg.f64 (.f64 (tan.f64 x) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	53.9%	(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	56.1%	(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	47.3%	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
	99.3%	(/.f64 (/.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	53.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.0%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	56.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	53.9%	(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
	51.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	58.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	47.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
	47.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.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)))))
	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
	52.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	53.9%	(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	56.1%	(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	47.3%	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
	99.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.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))))
	99.6%	(*.f64 (/.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))))
✓	2.7%	(.f64 x (.f64 x #s(literal -2 binary64)))
✓	52.3%	#s(literal 1 binary64)

Compiler

Compiled 2 928 to 898 computations (69.3% saved)

regimes91.0ms (0.7%)

Memory

4.9MiB live, 120.0MiB allocated

Counts

86 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -2 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.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))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (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) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (neg.f64 (.f64 (tan.f64 x) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.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 (/.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))))

Calls

4 calls:

23.0ms	x
22.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
21.0ms	(tan.f64 x)
21.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.7%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.7%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes64.0ms (0.5%)

Memory

34.4MiB live, 72.2MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -2 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.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))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (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) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))

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

Calls

4 calls:

16.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
15.0ms	(tan.f64 x)
15.0ms	x
15.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.6%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.6%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes57.0ms (0.5%)

Memory

-21.9MiB live, 54.9MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -2 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Calls

4 calls:

10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
8.0ms	(tan.f64 x)
7.0ms	x
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
58.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
58.4%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
58.4%	1	`(tan.f64 x)`
58.4%	1	`x`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes40.0ms (0.3%)

Memory

2.6MiB live, 75.7MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -2 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))

Calls

4 calls:

16.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
7.0ms	(tan.f64 x)
7.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
56.8%	1	`(tan.f64 x)`
56.8%	1	`x`
56.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
56.8%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes14.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -2 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))

Calls

4 calls:

4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
3.0ms	(tan.f64 x)
3.0ms	x
3.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
52.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
52.6%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes24.0ms (0.2%)

Memory

-26.3MiB live, 21.8MiB allocated

Accuracy

Total -32.5b remaining (-106.3%)

Threshold costs -32.5b (-106.3%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -2 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))

Outputs
#s(literal 1 binary64)

Calls

4 calls:

14.0ms	(tan.f64 x)
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
3.0ms	x
3.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
52.3%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
52.3%	1	`x`
52.3%	1	`(tan.f64 x)`
52.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 27 to 13 computations (51.9% saved)

simplify11.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`unsub-neg_binary64`
76×	`neg-mul-1_binary64`
42×	`cancel-sign-sub_binary64`
38×	`distribute-lft-neg-in_binary64`
36×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	85
1	50	85
2	70	85
3	90	85
4	116	85
5	151	85
6	223	85
7	300	85
8	341	85

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (10.3%)

Memory

5.0MiB live, 748.5MiB allocated

Rules

17 396×	`lower-fma.f64`
17 396×	`lower-fma.f32`
16 890×	`lower-fma.f64`
16 890×	`lower-fma.f32`
16 148×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	603
1	151	602
2	409	588
3	1153	588
4	2141	588
5	3924	588
6	5296	588
0	8024	567
0	7	34
0	12	29
1	51	29
2	359	29
3	5062	17
0	10307	17
0	171	2846
1	422	2841
2	1071	2764
3	3307	2748
4	4639	2700
5	6228	2700
0	8116	2563
0	29	188
0	53	131
1	226	109
2	1763	109
0	8120	109
0	193	3360
1	472	3355
2	1092	3206
3	2978	2910
4	6053	2910
0	8212	2754

Stop Event

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

Compiler

Compiled 335 to 147 computations (56.1% saved)

preprocess98.0ms (0.8%)

Memory: 4.0MiB live, 130.4MiB allocated
Remove: (abs x)
Compiler: Compiled 524 to 214 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze126.0ms (1%)

sample1.0s (8.4%)

preprocess517.0ms (4.2%)

explain147.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify507.0ms (4.1%)

localize79.0ms (0.6%)

series6.0ms (0%)

rewrite435.0ms (3.6%)

simplify883.0ms (7.2%)

eval57.0ms (0.5%)

prune75.0ms (0.6%)

simplify378.0ms (3.1%)

localize188.0ms (1.5%)

series23.0ms (0.2%)

rewrite421.0ms (3.4%)

simplify385.0ms (3.1%)

eval294.0ms (2.4%)

prune194.0ms (1.6%)

simplify496.0ms (4%)

localize257.0ms (2.1%)

series22.0ms (0.2%)

rewrite445.0ms (3.6%)

simplify567.0ms (4.6%)

eval428.0ms (3.5%)

prune542.0ms (4.4%)

simplify270.0ms (2.2%)

localize300.0ms (2.4%)

series14.0ms (0.1%)

rewrite432.0ms (3.5%)

simplify455.0ms (3.7%)

eval319.0ms (2.6%)

prune299.0ms (2.4%)

regimes91.0ms (0.7%)

regimes64.0ms (0.5%)

regimes57.0ms (0.5%)

regimes40.0ms (0.3%)

regimes14.0ms (0.1%)

regimes24.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.3s (10.3%)

preprocess98.0ms (0.8%)

end0.0ms (0%)

Profiling