Metrics for Trigonometry B

analyze189.0ms (1.4%)

Memory

17.6MiB live, 256.2MiB 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)

sample1.5s (10.5%)

Memory

-320.7MiB live, 823.0MiB allocated

Samples

1000.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 535.0ms

ival-tan: 293.0ms (54.8% of total)

ival-mult: 88.0ms (16.5% of total)

ival-add: 50.0ms (9.3% of total)

ival-div: 48.0ms (9% of total)

ival-sub: 46.0ms (8.6% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

...in/eval/compile.rkt:110:19: 2.0ms (0.4% of total)

Bogosity

preprocess455.0ms (3.3%)

Memory

-10.3MiB live, 541.0MiB allocated

Algorithm

2×	egg-herbie

Rules

10 592×	`accelerator-lowering-fma.f32`
10 592×	`accelerator-lowering-fma.f64`
2 342×	`--lowering--.f32`
2 342×	`--lowering--.f64`
1 998×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	43	45
2	85	45
3	190	45
4	411	45
5	734	45
6	1299	45
7	1744	45
8	2884	45
9	4290	45
10	5262	45
11	6479	45
12	7340	45
13	7811	45
0	7	15
1	18	15
2	29	15
3	48	15
4	87	15
5	150	15
6	249	15
7	557	15
8	1243	15
9	2976	15
10	4308	15
11	5382	15
12	6152	15
13	6501	15
14	6633	15
15	6694	15
16	7560	15
0	8147	14

Stop Event

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

Calls

Call 1

Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

Outputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan 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))))

Call 2

Inputs

(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

(/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x)))))

(neg (/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x))))))

Outputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x)))))
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(neg (/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x))))))
(/ (- 1 (* (tan x) (tan x))) (- -1 (* (tan x) (tan x))))

Symmetry

(abs x)

explain101.0ms (0.7%)

Memory

10.2MiB live, 206.0MiB 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	3
-	0	253

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	3
-	0	0	253

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

37.0ms

512×

valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-tan: 11.0ms (46.9% of total)

ival-sub: 3.0ms (12.8% of total)

ival-div: 3.0ms (12.8% of total)

ival-mult: 3.0ms (12.8% of total)

ival-add: 2.0ms (8.5% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.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)

simplify360.0ms (2.6%)

Memory

-8.9MiB live, 553.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

10 592×	`accelerator-lowering-fma.f32`
10 592×	`accelerator-lowering-fma.f64`
2 342×	`--lowering--.f32`
2 342×	`--lowering--.f64`
1 998×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	38
1	18	38
2	29	38
3	48	38
4	87	38
5	150	38
6	249	38
7	557	38
8	1243	38
9	2976	38
10	4308	38
11	5382	38
12	6152	38
13	6501	38
14	6633	38
15	6694	38
16	7560	38
0	8147	36

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (* (tan x) (tan x)))

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

localize28.0ms (0.2%)

Memory

25.1MiB live, 64.0MiB 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 (-.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	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.7%	(*.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 (50.7% of total)

ival-div: 2.0ms (16.9% of total)

ival-mult: 2.0ms (16.9% of total)

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

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series6.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (tan x)>
#<alt (+ 1 (* (tan x) (tan x)))>

Outputs
#<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 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 (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)))>

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	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))))
1.0ms	x	@	0	(* (tan x) (tan x))
0.0ms	x	@	0	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.0ms	x	@	0	(- 1 (* (tan x) (tan x)))

rewrite314.0ms (2.3%)

Memory

8.1MiB live, 393.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 320×	`accelerator-lowering-fma.f32`
3 320×	`accelerator-lowering-fma.f64`
2 864×	`-lowering-.f32`
2 864×	`-lowering-.f64`
2 666×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	31
1	46	31
2	354	31
3	5050	19
0	10296	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 401

Calls

Call 1

Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
(+ 1 (* (tan x) (tan x)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #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 (-.f64 #s(literal 0 binary64) (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)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(+.f64 (.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 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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)))
(-.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))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
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(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.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 2 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 (/.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 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 12 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) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (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 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (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 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (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 6 binary64))))
(/.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 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.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)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) #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) (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 #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 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.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 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.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 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.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 #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)) (+.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 6 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 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) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 6 binary64)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 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 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))

simplify518.0ms (3.7%)

Memory

-2.1MiB live, 716.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20 422×	`accelerator-lowering-fma.f32`
20 422×	`accelerator-lowering-fma.f64`
3 386×	`+-lowering-+.f64`
3 386×	`+-lowering-+.f32`
3 220×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	689
1	214	688
2	590	668
3	1838	668
4	3167	668
5	4672	668
6	5977	668
0	8284	641

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
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))
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 (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)))

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

eval75.0ms (0.5%)

Memory: -5.0MiB live, 147.3MiB allocated
Compiler: Compiled 16 872 to 1 396 computations (91.7% saved)

prune141.0ms (1%)

Memory

-17.2MiB live, 154.4MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	611	28	639
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	612	28	640

Accuracy

99.9%

Counts

640 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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))))
	99.3%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 4 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))))
▶	99.5%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (tan.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 (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 (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))))
	99.3%	(/.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))))
	99.3%	(/.f64 (/.f64 (neg.f64 (+.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 #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))))
	99.4%	(/.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))))
▶	99.5%	(/.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))))
	99.3%	(/.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 (tan.f64 x) (tan.f64 x))))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	55.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.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))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.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)))))
	99.4%	(/.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))))
	99.1%	(/.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	99.4%	(/.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)))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (tan.f64 x) (sin.f64 x))))))
	56.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))))
	63.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	99.3%	(/.f64 (.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 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
	55.7%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
▶	59.7%	#s(literal 1 binary64)

Compiler

Compiled 1 278 to 730 computations (42.9% saved)

simplify389.0ms (2.8%)

Memory

26.4MiB live, 625.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
✓	cost-diff	0	(/.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))))
✓	cost-diff	0	(/.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))))
✓	cost-diff	64	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (tan.f64 x))
✓	cost-diff	0	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	64	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	6464	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	64	(*.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	64	(*.f64 (tan.f64 x) (tan.f64 x))

Rules

12 988×	`accelerator-lowering-fma.f32`
12 988×	`accelerator-lowering-fma.f64`
3 144×	`-lowering-.f32`
3 144×	`-lowering-.f64`
2 908×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	350
1	99	350
2	280	342
3	939	342
4	3612	342
5	6998	342
0	8402	320

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x))))
(- 1 (pow (tan x) 2))
1
(pow (tan x) 2)
(tan x)
x
2
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
1
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
1
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
1/3
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 2/15 (* (* x x) 17/315))
2/15
(* (* x x) 17/315)
17/315
(tan x)
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(- 0 (tan x))
0
(tan x)
x
1
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 4))
1
(pow (tan x) 4)
(tan x)
x
4
(+ 1 (pow (tan x) 2))
(pow (tan x) 2)
2
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))

Outputs
(/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan 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))))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (tan x) (tan x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (tan.f64 x))))
1
#s(literal 1 binary64)
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(.f64 x (.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))
(* x (+ 2/15 (* (* x x) 17/315)))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(+ 2/15 (* (* x x) 17/315))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) 17/315)
(.f64 (.f64 x x) #s(literal 17/315 binary64))
17/315
#s(literal 17/315 binary64)
(tan x)
(tan.f64 x)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan 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))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(tan x)
(tan.f64 x)
x
1
#s(literal 1 binary64)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
(/.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 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(/.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))))
(- 1 (pow (tan x) 4))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 4)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
(tan x)
(tan.f64 x)
x
4
#s(literal 4 binary64)
(+ 1 (pow (tan x) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))

localize135.0ms (1%)

Memory

14.2MiB live, 245.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.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))))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.4%	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.7%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.6%	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 17/315 binary64))
✓	accuracy	99.7%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	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	99.8%	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

72.0ms

256×

valid

Compiler

Compiled 369 to 37 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 12.0ms (23.1% of total)

...in/eval/compile.rkt:111:19: 9.0ms (17.3% of total)

ival-div: 7.0ms (13.5% of total)

ival-add: 7.0ms (13.5% of total)

ival-tan: 6.0ms (11.5% of total)

ival-sub: 5.0ms (9.6% of total)

ival-pow: 4.0ms (7.7% of total)

ival-pow2: 3.0ms (5.8% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series21.0ms (0.2%)

Memory

-9.8MiB live, 28.9MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* (tan x) (tan x))>
#<alt (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x))))>
#<alt (- 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (tan x) (tan x))))>
#<alt (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))>
#<alt (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))>
#<alt (+ (* (- 0 (tan x)) (tan x)) 1)>
#<alt (/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))>
#<alt (- 0 (tan x))>
#<alt (/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))>
#<alt (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))>
#<alt (- 1 (pow (tan x) 4))>
#<alt (* (* x x) 17/315)>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))>
#<alt (* x (+ 2/15 (* (* x x) 17/315)))>
#<alt (+ 1 (* (tan x) (tan x)))>
#<alt (pow (tan x) 4)>

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 (* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))>
#<alt (* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))>
#<alt (* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))>
#<alt (* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))>
#<alt (* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* 1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))>
#<alt (* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (sin x) (* (pow x 6) (* (cos x) (+ 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 (* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* (pow x 7) (- (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 17/315 (/ (sin x) (cos x)))))>
#<alt (* (pow x 7) (- (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))))))>
#<alt (* (pow x 7) (- (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x))))))))>
#<alt (* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* -1 (* (pow x 7) (- (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))>
#<alt (* -1 (* (pow x 7) (- (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))>
#<alt (* -1 (* (pow x 7) (- (/ (sin x) (* (pow x 6) (cos x))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos 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 (* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x))))))>
#<alt (* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))))))>
#<alt (* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (/ (sin x) (* (pow x 6) (cos x)))))))>
#<alt (* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* -1 (* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (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 (* -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 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 (* -1 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos 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) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 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) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 2/15 x)>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt 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 (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (tan x) (tan x))))
2.0ms	x	@	-inf	(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
2.0ms	x	@	-inf	(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (tan x) (tan x))))
2.0ms	x	@	inf	(+ (* (- 0 (tan x)) (tan x)) 1)
1.0ms	x	@	inf	(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))

rewrite578.0ms (4.2%)

Memory

2.6MiB live, 782.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 888×	`accelerator-lowering-fma.f32`
4 888×	`accelerator-lowering-fma.f64`
4 338×	`-lowering-.f32`
4 338×	`-lowering-.f64`
4 308×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	198
1	241	198
2	2038	192
0	9010	180

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 2 166

Calls

Call 1

Inputs
(* (tan x) (tan x))
(/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x))))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(+ (* (- 0 (tan x)) (tan x)) 1)
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))
(- 0 (tan x))
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 4))
(* (* x x) 17/315)
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 1 (* (tan x) (tan x)))
(pow (tan x) 4)

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

simplify599.0ms (4.3%)

Memory

1.3MiB live, 833.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20 552×	`accelerator-lowering-fma.f32`
20 552×	`accelerator-lowering-fma.f64`
5 486×	`-lowering-.f32`
5 486×	`-lowering-.f64`
2 988×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	3268
1	722	3261
2	2372	3009
3	6750	2981
0	8412	2870

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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)))
(* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
(* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
(* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
(* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* 1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
(* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (sin x) (* (pow x 6) (* (cos x) (+ 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)))
(* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* (pow x 7) (- (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 17/315 (/ (sin x) (cos x)))))
(* (pow x 7) (- (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))))))
(* (pow x 7) (- (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x))))))))
(* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* -1 (* (pow x 7) (- (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))
(* -1 (* (pow x 7) (- (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))
(* -1 (* (pow x 7) (- (/ (sin x) (* (pow x 6) (cos x))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos 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))))))))
(* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x))))))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))))))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (/ (sin x) (* (pow x 6) (cos x)))))))
(* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* -1 (* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))
(* -1 (* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))
(* -1 (* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (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 (* -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 (* -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))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos 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) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 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) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 2/15 x)
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
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)))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 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))))
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(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
(* 17/315 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/315 binary64))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* 17/315 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/315 binary64))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* 17/315 (pow x 3))
(.f64 #s(literal 17/315 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* 17/315 (pow x 3))
(.f64 #s(literal 17/315 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))) x) x))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 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 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4/3 binary64))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) #s(literal 6/5 binary64))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 6/5 binary64) (.f64 (.f64 x x) #s(literal 848/945 binary64)))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))

eval490.0ms (3.5%)

Memory: 48.4MiB live, 931.0MiB allocated
Compiler: Compiled 124 907 to 4 798 computations (96.2% saved)

prune347.0ms (2.5%)

Memory

-15.2MiB live, 636.9MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	3 396	27	3 423
Fresh	14	9	23
Picked	4	1	5
Done	0	0	0
Total	3 414	37	3 451

Accuracy

99.9%

Counts

3 451 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 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)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	76.3%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (tan.f64 x) (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))))
	75.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 4 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))))
▶	99.5%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	63.3%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.4%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.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 2 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 #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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.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 (+.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))))
▶	99.0%	(/.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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))
	99.1%	(/.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 (/.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 (/.f64 #s(literal 1 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 4 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) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	99.5%	(/.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)))
	99.1%	(/.f64 (-.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
	56.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
	63.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	55.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))))
	99.4%	(/.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))))
	99.4%	(/.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)))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (tan.f64 x) (sin.f64 x))))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
	99.2%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.4%	(-.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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
▶	55.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))
✓	59.7%	#s(literal 1 binary64)

Compiler

Compiled 1 808 to 1 012 computations (44% saved)

simplify451.0ms (3.3%)

Memory

43.4MiB live, 551.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
✓	cost-diff	0	(/.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))))
✓	cost-diff	0	(/.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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (tan.f64 x))
✓	cost-diff	0	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	6464	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
✓	cost-diff	0	(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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

Rules

13 498×	`accelerator-lowering-fma.f32`
13 498×	`accelerator-lowering-fma.f64`
3 692×	`+-lowering-+.f64`
3 692×	`+-lowering-+.f32`
3 512×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	434
1	126	434
2	331	426
3	1057	423
4	3742	414
5	7944	414
0	9252	389

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 1 (pow (tan x) 2)) (+ (pow (tan x) 2) 1))
(- 1 (pow (tan x) 2))
1
(pow (tan x) 2)
(tan x)
x
2
(+ (pow (tan x) 2) 1)
(+ 1 (* (* x x) -2))
1
(* (* x x) -2)
(* x x)
x
-2
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ (pow (tan x) 2) 1))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
1
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
1/3
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 2/15 (* (* x x) 17/315))
2/15
(* (* x x) 17/315)
17/315
(tan x)
(+ (pow (tan x) 2) 1)
(pow (tan x) 2)
2
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(+ (* (- 0 (tan x)) (tan x)) 1)
(- 0 (tan x))
0
(tan x)
x
1
(+ (pow (tan x) 2) 1)
(pow (tan x) 2)
2
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 4))
1
(pow (tan x) 4)
(tan x)
x
4
(+ 1 (pow (tan x) 2))
(pow (tan x) 2)
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 (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
(+ 1/2 (* 1/2 (cos (* 2 x))))

Outputs
(/ (- 1 (pow (tan x) 2)) (+ (pow (tan x) 2) 1))
(/.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))))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ (pow (tan x) 2) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+ 1 (* (* x x) -2))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* (* x x) -2)
(.f64 x (.f64 x #s(literal -2 binary64)))
(* x x)
(*.f64 x x)
x
-2
#s(literal -2 binary64)
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ (pow (tan x) 2) 1))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))))))) (.f64 x (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))))))) (.f64 x (tan.f64 x))))
1
#s(literal 1 binary64)
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(.f64 x (.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64)))))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64)))))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64)))))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))))
(* x (+ 2/15 (* (* x x) 17/315)))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal 17/315 binary64)))))
(+ 2/15 (* (* x x) 17/315))
(+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))
2/15
#s(literal 2/15 binary64)
(* (* x x) 17/315)
(.f64 x (.f64 x #s(literal 17/315 binary64)))
17/315
#s(literal 17/315 binary64)
(tan x)
(tan.f64 x)
(+ (pow (tan x) 2) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(/.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))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(tan x)
(tan.f64 x)
x
1
#s(literal 1 binary64)
(+ (pow (tan x) 2) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(/.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 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 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(/.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))))
(- 1 (pow (tan x) 4))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 4)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
(tan x)
(tan.f64 x)
x
4
#s(literal 4 binary64)
(+ 1 (pow (tan x) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (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))))))
(/ (- 1/2 (* 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))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))

localize252.0ms (1.8%)

Memory

7.3MiB live, 392.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	99.4%	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
✓	accuracy	70.7%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	99.9%	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 17/315 binary64))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -2 binary64))
✓	accuracy	99.9%	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.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)))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Samples

89.0ms	90×	2	valid
47.0ms	118×	0	valid
34.0ms	48×	1	valid

Compiler

Compiled 441 to 47 computations (89.3% saved)

Precisions

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

ival-mult: 26.0ms (20.1% of total)

ival-cos: 17.0ms (13.2% of total)

ival-add: 15.0ms (11.6% of total)

ival-div: 14.0ms (10.8% of total)

adjust: 13.0ms (10.1% of total)

...in/eval/compile.rkt:111:19: 12.0ms (9.3% of total)

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

ival-tan: 8.0ms (6.2% of total)

ival-pow: 8.0ms (6.2% of total)

ival-pow2: 4.0ms (3.1% of total)

...in/eval/compile.rkt:110:19: 1.0ms (0.8% of total)

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

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

series21.0ms (0.2%)

Memory

-4.0MiB live, 34.8MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (/ (- 1 (pow (tan x) 2)) (+ (pow (tan x) 2) 1))>
#<alt (- 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (tan x)>
#<alt (+ 1 (* (* x x) -2))>
#<alt (* (* x x) -2)>
#<alt (* x x)>
#<alt (/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ (pow (tan x) 2) 1))>
#<alt (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))>
#<alt (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))>
#<alt (+ (* (- 0 (tan x)) (tan x)) 1)>
#<alt (/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))>
#<alt (- 0 (tan x))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))>
#<alt (- 1 (pow (tan x) 4))>
#<alt (+ (pow (tan x) 2) 1)>
#<alt (* (* x x) 17/315)>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))>
#<alt (* x (+ 2/15 (* (* x x) 17/315)))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (pow (tan x) 4)>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>

Outputs
#<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))>
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#<alt (* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
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#<alt 1>
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#<alt 1>
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#<alt (pow x 2)>
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#<alt (pow x 4)>
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#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
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#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt 1>
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#<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 (* 2 x))))>

Calls

75 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
3.0ms	x	@	inf	(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
3.0ms	x	@	-inf	(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
1.0ms	x	@	inf	(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
1.0ms	x	@	-inf	(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))

rewrite407.0ms (2.9%)

Memory

-10.3MiB live, 580.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 494×	`-lowering-.f32`
6 494×	`-lowering-.f64`
3 336×	`/-lowering-/.f32`
3 336×	`/-lowering-/.f64`
2 690×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	252
1	333	244
2	2995	236
0	9356	220

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 098

Calls

Call 1

Inputs
(/ (- 1 (pow (tan x) 2)) (+ (pow (tan x) 2) 1))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
(+ 1 (* (* x x) -2))
(* (* x x) -2)
(* x x)
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ (pow (tan x) 2) 1))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(- 0 (tan x))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 4))
(+ (pow (tan x) 2) 1)
(* (* x x) 17/315)
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x (+ 2/15 (* (* x x) 17/315)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(pow (tan x) 4)
(+ 1/2 (* 1/2 (cos (* 2 x))))

Outputs
(+.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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.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 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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.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 (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 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 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))) (neg.f64 (/.f64 (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (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 (pow.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 4 binary64)))) #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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) #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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (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 (pow.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 6 binary64)))) #s(literal -1 binary64)) (/.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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 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 #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 #s(literal 1 binary64) (/.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 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.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 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.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 2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.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)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (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 12 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (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 8 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.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 2 binary64))))))
(/.f64 (-.f64 (.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (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 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) #s(literal 1 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) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (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 2 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 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (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 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (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 2 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 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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (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 2 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 2 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 2 binary64))) #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) (pow.f64 (tan.f64 x) #s(literal 6 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) (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 6 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) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #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 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.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 (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 (+.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 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (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 0 binary64) (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 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 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 #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 x #s(literal 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 #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 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 #s(literal 2 binary64))))))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 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 #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 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 #s(literal 2 binary64))))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 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 #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (cos.f64 x))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 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 #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #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 #s(literal 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 #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 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 #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))))

simplify546.0ms (3.9%)

Memory

0.7MiB live, 925.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 030×	`accelerator-lowering-fma.f32`
17 030×	`accelerator-lowering-fma.f64`
5 174×	`-lowering-.f32`
5 174×	`-lowering-.f64`
4 096×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	4116
1	930	4097
2	2968	3851
0	8192	3667

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
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))
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 (* -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 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 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)))
(* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
(* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
(* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
(* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* 1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
(* -1 (* (pow x 7) (+ (* 17/315 (/ (sin x) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (sin x) (* (pow x 6) (* (cos x) (+ 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)))
(* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* (pow x 7) (- (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 17/315 (/ (sin x) (cos x)))))
(* (pow x 7) (- (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))))))
(* (pow x 7) (- (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x))))))))
(* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* -1 (* (pow x 7) (- (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))
(* -1 (* (pow x 7) (- (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))
(* -1 (* (pow x 7) (- (/ (sin x) (* (pow x 6) (cos x))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos 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))))))))
(* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x))))))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))))))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (/ (sin x) (* (pow x 6) (cos x)))))))
(* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* -1 (* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))
(* -1 (* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))
(* -1 (* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow 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 (* -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 (* -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))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos 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 (* 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
(+ 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) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 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 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -4/3 (pow x 2)) 1)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -6/5 (pow x 2)) 4/3)) 1)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
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)))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 2/15 x)
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(pow x 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 (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
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 (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 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)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64))) x) x))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 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 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(* -17/315 (/ (* (pow x 7) (sin x)) (* (cos x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(- 1 (/ (pow (sin x) 4) (pow (cos x) 4)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 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)))
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(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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(+ 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))))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/315 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))
(* 17/315 (pow x 6))
(*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 17/315 (pow x 6))
(*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* 17/315 (pow x 3))
(.f64 #s(literal 17/315 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* 17/315 (pow x 3))
(.f64 #s(literal 17/315 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/45 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4/3 binary64))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) #s(literal 6/5 binary64)))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 4/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 6/5 binary64) (.f64 (.f64 x x) #s(literal 848/945 binary64)))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 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)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64))))))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))

eval870.0ms (6.3%)

Memory: 27.0MiB live, 589.8MiB allocated
Compiler: Compiled 79 640 to 4 800 computations (94% saved)

prune469.0ms (3.4%)

Memory

-43.1MiB live, 610.6MiB allocated

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	2 291	29	2 320
Fresh	17	14	31
Picked	2	3	5
Done	0	1	1
Total	2 310	47	2 357

Accuracy

100.0%

Counts

2 357 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.3%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (tan.f64 x) (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))))
	99.3%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (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 4 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)))
	99.2%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.3%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.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 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	63.3%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.4%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.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 2 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.1%	(/.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 (/.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 (/.f64 #s(literal 1 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 4 binary64))))))
	99.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)) (pow.f64 (sin.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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	99.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.0%	(/.f64 (/.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.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 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	56.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
	63.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.5%	(/.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 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	55.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	55.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))) #s(literal 1 binary64)))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
	99.1%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.5%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
▶	99.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	55.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
	55.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
	99.4%	(/.f64 #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)))))
	99.2%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
▶	99.4%	(-.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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
✓	55.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
	99.3%	(*.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))))
	99.4%	(*.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))))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))
	55.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
▶	2.5%	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	59.7%	#s(literal 1 binary64)

Compiler

Compiled 2 596 to 1 351 computations (48% saved)

simplify565.0ms (4.1%)

Memory

14.8MiB live, 767.7MiB 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓	cost-diff	13120	(-.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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓	cost-diff	64	(neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
✓	cost-diff	256	(.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	cost-diff	0	(+.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 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	6464	(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))

Rules

19 078×	`accelerator-lowering-fma.f32`
19 078×	`accelerator-lowering-fma.f64`
4 304×	`+-lowering-+.f64`
4 304×	`+-lowering-+.f32`
3 560×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	634
1	162	625
2	423	606
3	1533	592
4	3792	583
0	8107	538

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (neg (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(+ (* (neg (tan x)) (tan x)) 1)
(neg (tan x))
(tan x)
x
1
(+ (pow (tan x) 2) 1)
(pow (tan x) 2)
2
(* -2 (* x x))
-2
(* x x)
x
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))) (+ (pow (tan x) 2) 1))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
1
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
1/3
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 2/15 (* (* x x) 17/315))
2/15
(* (* x x) 17/315)
17/315
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))
(+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(+ (pow (tan x) 2) 1)
(pow (tan x) 2)
(tan x)
2
(/ (+ 1 (* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+ 1 (* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2)))))))
1
(* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))
(+ -1/2 (neg (* (cos (* x 2)) -1/2)))
-1/2
(neg (* (cos (* x 2)) -1/2))
(* (cos (* x 2)) -1/2)
(cos (* x 2))
(* x 2)
x
2
(/ 1 (+ 1/2 (* 1/2 (cos (* x 2)))))
(+ 1/2 (* 1/2 (cos (* x 2))))
1/2
(* 1/2 (cos (* 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 (* 2 x))))
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
(+ 1/2 (* 1/2 (cos (* 2 x))))
(- (/ 1 (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(/ 1 (+ 1 (pow (tan x) 2)))
1
(+ 1 (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
x
2
(/ (pow (tan x) 2) (+ 1 (pow (tan x) 2)))

Outputs
(/ (+ (* (neg (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(/.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))))
(+ (* (neg (tan x)) (tan x)) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(neg (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(tan x)
(tan.f64 x)
x
1
#s(literal 1 binary64)
(+ (pow (tan x) 2) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* -2 (* x x))
(.f64 x (.f64 x #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
x
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))) (+ (pow (tan x) 2) 1))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))))
1
#s(literal 1 binary64)
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))
(* x (+ 2/15 (* (* x x) 17/315)))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(+ 2/15 (* (* x x) 17/315))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) 17/315)
(.f64 (.f64 x x) #s(literal 17/315 binary64))
17/315
#s(literal 17/315 binary64)
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))
(+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))
(* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))
(* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))
(+ (pow (tan x) 2) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
2
#s(literal 2 binary64)
(/ (+ 1 (* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 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 (* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))
(/.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ -1/2 (neg (* (cos (* x 2)) -1/2)))
(+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(neg (* (cos (* x 2)) -1/2))
(.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(* (cos (* x 2)) -1/2)
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
(cos (* x 2))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ 1 (+ 1/2 (* 1/2 (cos (* x 2)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* x 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* x 2)))
(.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (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))))))
(/ (- 1/2 (* 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))))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (cos (* 2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (/ 1 (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(/.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))))
(/ 1 (+ 1 (pow (tan x) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow (tan x) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(/ (pow (tan x) 2) (+ 1 (pow (tan x) 2)))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))

localize417.0ms (3%)

Memory

33.0MiB live, 584.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(-.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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	70.7%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	70.7%	(+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 17/315 binary64))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	accuracy	99.9%	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.7%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.6%	(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))

Samples

146.0ms	90×	2	valid
64.0ms	118×	0	valid
41.0ms	48×	1	valid

Compiler

Compiled 647 to 57 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 38.0ms (21.8% of total)

ival-cos: 36.0ms (20.6% of total)

ival-add: 25.0ms (14.3% of total)

...in/eval/compile.rkt:111:19: 22.0ms (12.6% of total)

ival-div: 17.0ms (9.7% of total)

adjust: 16.0ms (9.2% of total)

ival-tan: 7.0ms (4% of total)

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

ival-neg: 4.0ms (2.3% of total)

ival-pow2: 4.0ms (2.3% of total)

...in/eval/compile.rkt:110:19: 1.0ms (0.6% of total)

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

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

series22.0ms (0.2%)

Memory

-6.5MiB live, 30.6MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (+ (* (neg (tan x)) (tan x)) 1)>
#<alt (/ (+ (* (neg (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))>
#<alt (tan x)>
#<alt (+ (pow (tan x) 2) 1)>
#<alt (* -2 (* x x))>
#<alt (* x x)>
#<alt (/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))) (+ (pow (tan x) 2) 1))>
#<alt (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))>
#<alt (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))>
#<alt (* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos (* x 2)))))>
#<alt (neg (* (cos (* x 2)) -1/2))>
#<alt (- (/ 1 (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ 1 (pow (tan x) 2))))>
#<alt (/ 1 (+ 1 (pow (tan x) 2)))>
#<alt (+ 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))>
#<alt (* (* x x) 17/315)>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))>
#<alt (+ -1/2 (neg (* (cos (* x 2)) -1/2)))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* x 2))))>
#<alt (/ (pow (tan x) 2) (+ 1 (pow (tan x) 2)))>

Outputs
#<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 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 (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 (* -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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 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 (* -289/99225 (/ (pow x 14) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (* (pow x 14) (+ (* 68/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ (* 68/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 254/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 2))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ (* 254/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 62/315 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 4))) (+ (/ 68/4725 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))>
#<alt (* -289/99225 (/ (pow x 14) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (* (pow x 14) (+ (* 68/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ (* 68/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 254/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 2))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ (* 254/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 62/315 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 4))) (+ (/ 68/4725 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 289/99225 (/ 1 (+ 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 (* -289/99225 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 68/4725 (* 254/4725 (/ 1 (pow x 2)))) (pow x 2))) 289/99225))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 254/4725 (* 62/315 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (* -289/99225 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 68/4725 (* 254/4725 (/ 1 (pow x 2)))) (pow x 2))) 289/99225))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 254/4725 (* 62/315 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (* 289/99225 (pow x 14))>
#<alt (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (+ (* 68/4725 (/ 1 (pow x 2))) (* 62/315 (/ 1 (pow x 6)))))))>
#<alt (* 289/99225 (pow x 14))>
#<alt (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (+ (* 68/4725 (/ 1 (pow x 2))) (* 62/315 (/ 1 (pow x 6)))))))>
#<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 (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -2/3 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (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 (/ (- 1/2 (* 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 (* 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>
#<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 (* 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 1/2>
#<alt (+ 1/2 (* -1 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (* 1/2 (cos (* 2 x)))>
#<alt (* 1/2 (cos (* 2 x)))>
#<alt (* 1/2 (cos (* 2 x)))>
#<alt (* 1/2 (cos (* 2 x)))>
#<alt (* 1/2 (cos (* 2 x)))>
#<alt (* 1/2 (cos (* 2 x)))>
#<alt (* 1/2 (cos (* 2 x)))>
#<alt (* 1/2 (cos (* 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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 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 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 (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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* 17/315 (pow x 5))>
#<alt (* (pow x 5) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 5))>
#<alt (* (pow x 5) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 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 (* 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 (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 (* 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>
#<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 (* 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>
#<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 (* 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>

Calls

78 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))
1.0ms	x	@	inf	(- (/ 1 (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
1.0ms	x	@	-inf	(- (/ 1 (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
1.0ms	x	@	inf	(* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))
1.0ms	x	@	inf	(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))) (+ (pow (tan x) 2) 1))

rewrite754.0ms (5.4%)

Memory

20.2MiB live, 972.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 684×	`-lowering-.f32`
4 684×	`-lowering-.f64`
3 790×	`/-lowering-/.f32`
3 790×	`/-lowering-/.f64`
2 346×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	373
1	381	258
2	2968	248
0	8725	231

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 455

Calls

Call 1

Inputs
(+ (* (neg (tan x)) (tan x)) 1)
(/ (+ (* (neg (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(tan x)
(+ (pow (tan x) 2) 1)
(* -2 (* x x))
(* x x)
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))) (+ (pow (tan x) 2) 1))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* x (* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(* (+ -1/2 (neg (* (cos (* x 2)) -1/2))) (/ 1 (+ 1/2 (* 1/2 (cos (* x 2))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ 1 (+ 1/2 (* 1/2 (cos (* x 2)))))
(neg (* (cos (* x 2)) -1/2))
(- (/ 1 (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(/ 1 (+ 1 (pow (tan x) 2)))
(+ 1 (pow (tan x) 2))
(pow (tan x) 2)
(* x (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* (* x x) 17/315)
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(+ -1/2 (neg (* (cos (* x 2)) -1/2)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* x 2))))
(/ (pow (tan x) 2) (+ 1 (pow (tan x) 2)))

Outputs
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (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)))))
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(*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (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 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 (pow.f64 (tan.f64 x) #s(literal 2 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)))

simplify558.0ms (4%)

Memory

-32.6MiB live, 948.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 250×	`accelerator-lowering-fma.f32`
11 250×	`accelerator-lowering-fma.f64`
5 216×	`-lowering-.f32`
5 216×	`-lowering-.f64`
3 980×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	3808
1	710	3762
2	1940	3686
3	4735	3622
0	8290	3425

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
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))))
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 (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)))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 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)))
(* -289/99225 (/ (pow x 14) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (* (pow x 14) (+ (* 68/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* (pow x 14) (- (* -1 (/ (+ (* 68/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 254/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 2))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* (pow x 14) (- (* -1 (/ (+ (* 254/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 62/315 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 4))) (+ (/ 68/4725 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* -289/99225 (/ (pow x 14) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (* (pow x 14) (+ (* 68/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* (pow x 14) (- (* -1 (/ (+ (* 68/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 254/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 2))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* (pow x 14) (- (* -1 (/ (+ (* 254/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 62/315 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 4))) (+ (/ 68/4725 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 289/99225 (/ 1 (+ 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)))
(* -289/99225 (pow x 14))
(* -1 (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 68/4725 (* 254/4725 (/ 1 (pow x 2)))) (pow x 2))) 289/99225))
(* (pow x 14) (- (* -1 (/ (+ 254/4725 (* 62/315 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
(* -289/99225 (pow x 14))
(* -1 (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 68/4725 (* 254/4725 (/ 1 (pow x 2)))) (pow x 2))) 289/99225))
(* (pow x 14) (- (* -1 (/ (+ 254/4725 (* 62/315 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* 289/99225 (pow x 14))
(* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (* 68/4725 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (+ (* 68/4725 (/ 1 (pow x 2))) (* 62/315 (/ 1 (pow x 6)))))))
(* 289/99225 (pow x 14))
(* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (* 68/4725 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 289/99225 (+ (/ 254/4725 (pow x 4)) (+ (* 68/4725 (/ 1 (pow x 2))) (* 62/315 (/ 1 (pow x 6)))))))
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))))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -2/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (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))))))))
(/ (- 1/2 (* 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 (* 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
(+ 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 (* 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)))))
1/2
(+ 1/2 (* -1 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(* 1/2 (cos (* 2 x)))
(* 1/2 (cos (* 2 x)))
(* 1/2 (cos (* 2 x)))
(* 1/2 (cos (* 2 x)))
(* 1/2 (cos (* 2 x)))
(* 1/2 (cos (* 2 x)))
(* 1/2 (cos (* 2 x)))
(* 1/2 (cos (* 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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 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
(+ 1 (pow x 2))
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(+ 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)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* 1/3 x)
(* x (+ 1/3 (* 2/15 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 5))
(* (pow x 5) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 5))
(* (pow x 5) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 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 (* 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)))))
(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 (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 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 (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 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 (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (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))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))

Outputs
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)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal -17/45 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))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64))))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(/ (+ 1 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 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))))
(* -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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64))))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(* -289/99225 (/ (pow x 14) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 289/99225 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 x 14) (+ (* 68/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 289/99225 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 68/4725 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(* (pow x 14) (- (* -1 (/ (+ (* 68/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 254/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 2))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 68/4725 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 254/4725 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 x x)) (/.f64 #s(literal 289/99225 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 14) (- (* -1 (/ (+ (* 254/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 62/315 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 4))) (+ (/ 68/4725 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 254/4725 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 62/315 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 289/99225 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 68/4725 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(* -289/99225 (/ (pow x 14) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 289/99225 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 x 14) (+ (* 68/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 289/99225 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 68/4725 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(* (pow x 14) (- (* -1 (/ (+ (* 68/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 254/4725 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 2))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 68/4725 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 254/4725 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 x x)) (/.f64 #s(literal 289/99225 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 14) (- (* -1 (/ (+ (* 254/4725 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 62/315 (/ 1 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow x 4))) (+ (/ 68/4725 (* (pow x 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 289/99225 (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 254/4725 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 62/315 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 289/99225 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 68/4725 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
1
#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)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal -17/45 binary64))))))))
(* -289/99225 (pow x 14))
(*.f64 #s(literal -289/99225 binary64) (pow.f64 x #s(literal 14 binary64)))
(* -1 (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (-.f64 #s(literal -289/99225 binary64) (/.f64 #s(literal 68/4725 binary64) (.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 68/4725 (* 254/4725 (/ 1 (pow x 2)))) (pow x 2))) 289/99225))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -289/99225 binary64) (/.f64 (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal -254/4725 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 14) (- (* -1 (/ (+ 254/4725 (* 62/315 (/ 1 (pow x 2)))) (pow x 4))) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -254/4725 binary64) (/.f64 #s(literal -62/315 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -289/99225 binary64) (/.f64 #s(literal 68/4725 binary64) (.f64 x x)))))
(* -289/99225 (pow x 14))
(*.f64 #s(literal -289/99225 binary64) (pow.f64 x #s(literal 14 binary64)))
(* -1 (* (pow x 14) (+ 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
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(* (pow x 14) (- (* -1 (/ (+ 68/4725 (* 254/4725 (/ 1 (pow x 2)))) (pow x 2))) 289/99225))
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(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/45 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64))))))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))

eval367.0ms (2.6%)

Memory: 27.3MiB live, 723.8MiB allocated
Compiler: Compiled 117 872 to 5 951 computations (95% saved)

prune515.0ms (3.7%)

Memory

-23.2MiB live, 664.6MiB allocated

Pruning

53 alts after pruning (47 fresh and 6 done)

	Pruned	Kept	Total
New	2 570	15	2 585
Fresh	6	32	38
Picked	2	3	5
Done	1	3	4
Total	2 579	53	2 632

Accuracy

100.0%

Counts

2 632 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 (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 2 binary64))))
	76.3%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (tan.f64 x) (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))))
	99.3%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (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 4 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)))
	99.2%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.3%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.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 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.4%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	99.5%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	63.3%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.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 2 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)) (pow.f64 (sin.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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	99.0%	(/.f64 (/.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 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) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	63.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.5%	(/.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 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
	55.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) #s(literal 1 binary64)))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))) #s(literal 1 binary64)))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
	99.1%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.5%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	98.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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 #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))
	65.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
	99.1%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.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)))))
	61.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	55.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
	55.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
	99.4%	(/.f64 #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)))))
	99.2%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	99.4%	(-.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 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	56.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
	99.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
	55.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
✓	55.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
	99.3%	(*.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))))
	99.4%	(*.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))))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))
	55.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
✓	2.5%	(.f64 #s(literal -2 binary64) (.f64 x x))
	2.5%	(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
✓	59.7%	#s(literal 1 binary64)

Compiler

Compiled 4 393 to 1 239 computations (71.8% saved)

regimes162.0ms (1.2%)

Memory

24.8MiB live, 139.7MiB allocated

Counts

100 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (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))) #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 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 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) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) #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 (/.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 #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 (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 #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 (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) (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 #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 (-.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 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #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))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.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 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.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 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.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 2 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.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 2 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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))

Outputs

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

Calls

4 calls:

51.0ms	(tan.f64 x)
46.0ms	(/.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))))
32.0ms	x
23.0ms	(*.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)

regimes80.0ms (0.6%)

Memory

10.4MiB live, 89.7MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (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))) #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 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 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) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) #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 (/.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 #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 (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 #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 (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) (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 #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 (-.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 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #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))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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 #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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.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)))))

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:

27.0ms	(tan.f64 x)
23.0ms	x
12.0ms	(/.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))))
12.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes48.0ms (0.3%)

Memory

-21.8MiB live, 54.7MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (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))) #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 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 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) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))

Outputs

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

Calls

3 calls:

10.0ms	(tan.f64 x)
9.0ms	x
8.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
65.2%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
65.2%	1	`x`
65.2%	1	`(tan.f64 x)`

Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes41.0ms (0.3%)

Memory

0.1MiB live, 45.0MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (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))) #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 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #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 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

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

Calls

3 calls:

21.0ms	x
8.0ms	(tan.f64 x)
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
63.3%	1	`x`
63.3%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
63.3%	1	`(tan.f64 x)`

Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes6.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -37.3b remaining (-144.5%)

Threshold costs -37.3b (-144.5%)

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))))) (+.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

Outputs
#s(literal 1 binary64)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
59.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify23.0ms (0.2%)

Memory

-24.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
22×	`*-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	91
1	75	91
2	97	91
3	108	91
4	113	91

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (7.6%)

Memory

-1.2MiB live, 813.8MiB allocated

Rules

20 552×	`accelerator-lowering-fma.f32`
20 552×	`accelerator-lowering-fma.f64`
11 250×	`accelerator-lowering-fma.f32`
11 250×	`accelerator-lowering-fma.f64`
6 494×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	198
1	241	198
2	2038	192
0	9010	180
0	242	3268
1	722	3261
2	2372	3009
3	6750	2981
0	8412	2870
0	52	373
1	381	258
2	2968	248
0	8725	231
0	45	252
1	333	244
2	2995	236
0	9356	220
0	7	31
1	46	31
2	354	31
3	5050	19
0	10296	19
0	250	3808
1	710	3762
2	1940	3686
3	4735	3622
0	8290	3425

Stop Event

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

Compiler

Compiled 295 to 150 computations (49.2% saved)

preprocess38.0ms (0.3%)

Memory: 23.3MiB live, 99.8MiB allocated
Remove: (abs x)
Compiler: Compiled 616 to 252 computations (59.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze189.0ms (1.4%)

sample1.5s (10.5%)

preprocess455.0ms (3.3%)

explain101.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify360.0ms (2.6%)

localize28.0ms (0.2%)

series6.0ms (0%)

rewrite314.0ms (2.3%)

simplify518.0ms (3.7%)

eval75.0ms (0.5%)

prune141.0ms (1%)

simplify389.0ms (2.8%)

localize135.0ms (1%)

series21.0ms (0.2%)

rewrite578.0ms (4.2%)

simplify599.0ms (4.3%)

eval490.0ms (3.5%)

prune347.0ms (2.5%)

simplify451.0ms (3.3%)

localize252.0ms (1.8%)

series21.0ms (0.2%)

rewrite407.0ms (2.9%)

simplify546.0ms (3.9%)

eval870.0ms (6.3%)

prune469.0ms (3.4%)

simplify565.0ms (4.1%)

localize417.0ms (3%)

series22.0ms (0.2%)

rewrite754.0ms (5.4%)

simplify558.0ms (4%)

eval367.0ms (2.6%)

prune515.0ms (3.7%)

regimes162.0ms (1.2%)

regimes80.0ms (0.6%)

regimes48.0ms (0.3%)

regimes41.0ms (0.3%)

regimes6.0ms (0%)

simplify23.0ms (0.2%)

soundness1.1s (7.6%)

preprocess38.0ms (0.3%)

end0.0ms (0%)

Profiling