Metrics for Trigonometry B

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze162.0ms (2%)

Memory

-2.0MiB live, 396.4MiB 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)

sample839.0ms (10.3%)

Memory

-7.7MiB live, 2 088.0MiB allocated

Samples

586.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-tan: 202.0ms (47.7% of total)

ival-div: 65.0ms (15.4% of total)

ival-mult: 60.0ms (14.2% of total)

ival-sub: 41.0ms (9.7% of total)

ival-add: 40.0ms (9.4% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain107.0ms (1.3%)

Memory

18.3MiB live, 294.3MiB 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	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	1
-	0	0	254

Precision?

1.0

Recall?

0.5

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 133 to 32 computations (75.9% saved)

Precisions

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

ival-tan: 13.0ms (49% of total)

ival-mult: 4.0ms (15.1% of total)

ival-sub: 3.0ms (11.3% of total)

ival-div: 3.0ms (11.3% of total)

ival-add: 3.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess304.0ms (3.7%)

Memory

21.1MiB live, 258.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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 15 to 7 computations (53.3% saved)

simplify185.0ms (2.3%)

Memory

-12.2MiB live, 183.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.3%)

Memory

-10.8MiB live, 72.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.14453125	(/.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	0.1724751218519596	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.26009750976844204	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

20.0ms

256×

valid

Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions

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

ival-tan: 6.0ms (47% of total)

ival-div: 2.0ms (15.7% of total)

ival-mult: 2.0ms (15.7% of total)

ival-sub: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify177.0ms (2.2%)

Memory

-7.9MiB live, 265.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	603
1	151	602
2	409	588
3	1148	588
4	2136	588
5	3911	588
6	5280	588
0	8018	567

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite134.0ms (1.6%)

Memory

6.4MiB live, 244.5MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Counts

4 → 373

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval64.0ms (0.8%)

Memory: -11.9MiB live, 183.3MiB allocated
Compiler: Compiled 13 356 to 1 023 computations (92.3% saved)

prune498.0ms (6.1%)

Memory

-88.2MiB live, 168.5MiB allocated

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	448	31	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	449	31	480

Accuracy

99.9%

Counts

480 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (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 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (fma.f64 (.f64 (pow.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 6 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #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 6 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.1%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (exp.f64 (neg.f64 (log1p.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 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #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))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.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 (tan.f64 x) (tan.f64 x))))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (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) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
▶	75.1%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.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 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 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)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	58.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	99.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶	54.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 344 to 760 computations (43.5% saved)

simplify154.0ms (1.9%)

Memory

17.0MiB live, 292.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	6080	(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	6848	(/.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)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
cost-diff	0	(tan.f64 x)
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	238
0	53	237
1	89	237
2	144	233
3	325	233
4	1460	232
5	4804	227
0	8350	227

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.2%)

Memory

18.7MiB live, 255.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0.154628759768442	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.15820203648305867	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))
accuracy	0.2735138672213042	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.078125	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))))
accuracy	0.1424036219543147	(log.f64 (tan.f64 x))
accuracy	0.154628759768442	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	1.3819650196337274	(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
accuracy	0.07421875	(pow.f64 (tan.f64 x) #s(literal -1 binary64))
accuracy	0.078125	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
accuracy	0.154628759768442	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.2708587890737681	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	15.278037324366414	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.06935502930532605	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.078125	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.154628759768442	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

53.0ms	193×	0	valid
20.0ms	63×	0	invalid

Compiler

Compiled 467 to 57 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-pow: 21.0ms (38% of total)

ival-div: 8.0ms (14.5% of total)

ival-add: 7.0ms (12.7% of total)

ival-tan: 6.0ms (10.9% of total)

ival-mult: 4.0ms (7.2% of total)

ival-exp: 3.0ms (5.4% of total)

ival-sub: 3.0ms (5.4% of total)

ival-log: 3.0ms (5.4% of total)

exact: 1.0ms (1.8% of total)

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

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

series111.0ms (1.4%)

Memory

-15.0MiB live, 260.2MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x))))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x))))) #<representation binary64>) () ())
#s(alt (/.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)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (patch (/.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)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x))) #<representation binary64>) () ())
#s(alt (log.f64 (tan.f64 x)) (patch (log.f64 (tan.f64 x)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
61.0ms	x	@	inf	((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (pow (tan x) -1) -2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/ (- 1 (* (tan x) (tan x))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (tan x)) 1) (pow (pow (tan x) -1) -2) (pow (tan x) -1) (pow (exp 2) (log (tan x))) (log (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))
28.0ms	x	@	-inf	((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (pow (tan x) -1) -2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/ (- 1 (* (tan x) (tan x))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (tan x)) 1) (pow (pow (tan x) -1) -2) (pow (tan x) -1) (pow (exp 2) (log (tan x))) (log (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))
14.0ms	x	@	0	((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (pow (tan x) -1) -2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/ (- 1 (* (tan x) (tan x))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (tan x)) 1) (pow (pow (tan x) -1) -2) (pow (tan x) -1) (pow (exp 2) (log (tan x))) (log (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

Time

Variable

Point

Expression

61.0ms

inf

((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (pow (tan x) -1) -2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/ (- 1 (* (tan x) (tan x))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (tan x)) 1) (pow (pow (tan x) -1) -2) (pow (tan x) -1) (pow (exp 2) (log (tan x))) (log (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

28.0ms

-inf

((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (pow (tan x) -1) -2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/ (- 1 (* (tan x) (tan x))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (tan x)) 1) (pow (pow (tan x) -1) -2) (pow (tan x) -1) (pow (exp 2) (log (tan x))) (log (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

14.0ms

((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (pow (tan x) -1) -2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/ (- 1 (* (tan x) (tan x))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (tan x)) 1) (pow (pow (tan x) -1) -2) (pow (tan x) -1) (pow (exp 2) (log (tan x))) (log (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

simplify157.0ms (1.9%)

Memory

14.2MiB live, 289.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	2904
1	531	2902
2	1717	2838
3	4841	2818
0	8075	2685

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

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
(+ 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)))
(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))))))))
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))))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -2 (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 x 2)))
(+ (* -1 (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2)))))) (/ 1 (+ 1 (pow x 2))))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -2/3 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 17/45 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 2/3 (/ 1 (+ 1 (pow x 2)))))))) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2)))))) (/ 1 (+ 1 (pow x 2))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -2/3 (/ (* (pow x 2) (+ (* -2/3 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 17/45 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 2/3 (/ 1 (+ 1 (pow x 2))))))) (+ 1 (pow x 2)))) (+ (* -17/45 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 62/315 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 17/45 (/ 1 (+ 1 (pow x 2))))))))) (+ (* -2/3 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 17/45 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 2/3 (/ 1 (+ 1 (pow x 2)))))))) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2)))))) (/ 1 (+ 1 (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)))
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 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(pow x 2)
(+ (* 2/3 (pow x 4)) (pow x 2))
(+ (* (pow x 2) (+ (* 17/45 (pow x 4)) (* 2/3 (pow x 2)))) (pow x 2))
(+ (* (pow x 2) (+ (* 2/3 (pow x 2)) (* (pow x 2) (+ (* 62/315 (pow x 4)) (* 17/45 (pow x 2)))))) (pow x 2))
(log x)
(+ (log x) (* 1/3 (pow x 2)))
(+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))
(+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (pow 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))))))))
-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 (/ (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)))
(/ (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))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (- 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 (/ (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))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 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 (/ (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 (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))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (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))
(log (/ (sin x) (cos x)))
(log (/ (sin x) (cos x)))
(log (/ (sin x) (cos x)))
(log (/ (sin x) (cos x)))
(/ (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) 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 (/ (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)))
(/ (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))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (- 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 (/ (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))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 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 (/ (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 (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))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (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))
(log (/ (sin x) (cos x)))
(log (/ (sin x) (cos x)))
(log (/ (sin x) (cos x)))
(log (/ (sin x) (cos x)))
(/ (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) 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)

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

rewrite187.0ms (2.3%)

Memory

7.8MiB live, 400.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	150
0	53	116
1	211	116
2	1370	116
0	8897	116

Stop Event

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

Counts

16 → 1 941

Calls

Call 1

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

Outputs
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eval499.0ms (6.1%)

Memory: 41.1MiB live, 1 361.5MiB allocated
Compiler: Compiled 103 679 to 5 637 computations (94.6% saved)

prune129.0ms (1.6%)

Memory

-46.2MiB live, 418.6MiB allocated

Pruning

46 alts after pruning (45 fresh and 1 done)

	Pruned	Kept	Total
New	3 257	41	3 298
Fresh	22	4	26
Picked	4	1	5
Done	0	0	0
Total	3 283	46	3 329

Accuracy

100.0%

Counts

3 329 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.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)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.2%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 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 2 binary64)))))
	99.3%	(/.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (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)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	99.5%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	99.3%	(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.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 #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))))
	74.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.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 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (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 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))))
	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))))
	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	59.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	59.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (+.f64 (tan.f64 x) #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)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) #s(literal -1 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)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal -1 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	58.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
	99.5%	(/.f64 (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (*.f64 (-.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))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
	54.6%	(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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))))
	99.4%	(/.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)))))
	99.4%	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
	99.2%	(*.f64 (pow.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)))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
▶	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
	50.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
✓	54.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 832 to 1 049 computations (42.7% saved)

simplify126.0ms (1.5%)

Memory

8.0MiB live, 240.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
cost-diff	6080	(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	6592	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	7040	(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	250
0	61	233
1	105	233
2	160	229
3	335	229
4	1095	229
5	4494	226
0	8325	226

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.6%)

Memory

4.5MiB live, 279.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0.32233316790698696	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))
accuracy	0.32233316790698696	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
accuracy	0.4884339844426086	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.15234375	(pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
accuracy	0.1724751218519596	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.26009750976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.26009750976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.14453125	(/.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	0.1724751218519596	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.26009750976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.26009750976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy	31.75117249971891	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	0.12890625	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.14453125	(/.f64 (-.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)))
accuracy	0.1724751218519596	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.26009750976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Samples

81.0ms

256×

valid

Compiler

Compiled 491 to 64 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-pow: 15.0ms (25.7% of total)

ival-div: 10.0ms (17.2% of total)

ival-mult: 8.0ms (13.7% of total)

ival-tan: 8.0ms (13.7% of total)

ival-add: 6.0ms (10.3% of total)

ival-sub: 5.0ms (8.6% of total)

ival-pow2: 4.0ms (6.9% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series19.0ms (0.2%)

Memory

8.0MiB live, 44.2MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (/.f64 (-.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))) (patch (/.f64 (-.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))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 ( (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) (patch (/.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.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))) (patch (/.f64 (-.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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.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))) (patch (/.f64 (-.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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (-.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))) (patch (/.f64 (-.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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.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))) (patch (/.f64 (-.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))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 ( (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 ( (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 ( (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 ( (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 x)) (patch (.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* x x) (* (tan x) (tan x)) (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (/ -1 (pow (- -1 (pow (tan x) 2)) -1)) (/ (- 1 (* (tan x) (tan x))) (/ -1 (pow (- -1 (pow (tan x) 2)) -1))) (- 1 (* (tan x) (tan x))) (/ (+ (* (tan x) (neg (tan x))) 1) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1) (pow (- -1 (pow (tan x) 2)) -1) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

4.0ms

-inf

((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* x x) (* (tan x) (tan x)) (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (/ -1 (pow (- -1 (pow (tan x) 2)) -1)) (/ (- 1 (* (tan x) (tan x))) (/ -1 (pow (- -1 (pow (tan x) 2)) -1))) (- 1 (* (tan x) (tan x))) (/ (+ (* (tan x) (neg (tan x))) 1) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1) (pow (- -1 (pow (tan x) 2)) -1) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

1.0ms

((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* x x) (* (tan x) (tan x)) (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (/ -1 (pow (- -1 (pow (tan x) 2)) -1)) (/ (- 1 (* (tan x) (tan x))) (/ -1 (pow (- -1 (pow (tan x) 2)) -1))) (- 1 (* (tan x) (tan x))) (/ (+ (* (tan x) (neg (tan x))) 1) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1))) (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1) (pow (- -1 (pow (tan x) 2)) -1) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

simplify231.0ms (2.8%)

Memory

43.8MiB live, 334.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	2913
1	344	2910
2	972	2860
3	3085	2860
4	4451	2854
5	6993	2854
0	8019	2752

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

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
(+ 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)))
(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))))))))
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))))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))))
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 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 (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 (* -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 (* -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 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 (* -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 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 x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(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))))))))
-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 (/ (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)))
(/ (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))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (- 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))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(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))
(/ (- 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 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 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 (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (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 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (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) 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 (/ (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)))
(/ (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))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (- 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))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(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))
(/ (- 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 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 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 (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (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 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (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) 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)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (neg.f64 x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 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) (+ 1 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (neg.f64 x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (neg.f64 x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (neg.f64 x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal -1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 6/5 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 848/945 binary64) (*.f64 x x) #s(literal 6/5 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/3 binary64) (pow.f64 x #s(literal 4 binary64))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal -1 binary64)))
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) #s(literal -1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(/.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)))
(/ (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 (/ (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)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 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 (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 (/ (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)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (* (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(+ 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 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (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) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))

rewrite194.0ms (2.4%)

Memory

25.4MiB live, 331.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	178
0	61	145
1	249	145
2	1632	85
0	9596	85

Stop Event

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

Counts

19 → 1 868

Calls

Call 1

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

Outputs
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eval473.0ms (5.8%)

Memory: -23.4MiB live, 1 233.5MiB allocated
Compiler: Compiled 90 623 to 5 533 computations (93.9% saved)

prune119.0ms (1.5%)

Memory

12.5MiB live, 410.0MiB allocated

Pruning

53 alts after pruning (50 fresh and 3 done)

	Pruned	Kept	Total
New	2 908	22	2 930
Fresh	12	28	40
Picked	3	2	5
Done	0	1	1
Total	2 923	53	2 976

Accuracy

100.0%

Counts

2 976 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
▶	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))))
	99.1%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
✓	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	98.9%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (pow (tan x) 4) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	58.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	99.3%	(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	74.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #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)))
	58.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.5%	(/.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))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.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 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	49.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (pow (tan x) 2)) -1) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) x #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))))
	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	59.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	59.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (+.f64 (tan.f64 x) #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)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) #s(literal -1 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)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal -1 binary64))))
	99.5%	(/.f64 (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.4%	(/.f64 (*.f64 (-.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))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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))))
	99.4%	(/.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)))))
	99.4%	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
	99.2%	(*.f64 (pow.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)))
	50.4%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
	49.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
	49.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	49.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
▶	2.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
▶	50.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
✓	54.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 936 to 1 164 computations (39.9% saved)

simplify145.0ms (1.8%)

Memory

-23.3MiB live, 226.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.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 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
cost-diff	256	(*.f64 (-.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)))
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) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
cost-diff	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))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	320	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
cost-diff	0	(neg.f64 (tan.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	256	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	326
0	80	310
1	142	304
2	258	304
3	591	304
4	2337	304
5	6435	304
0	8168	300

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (1.6%)

Memory

14.6MiB live, 331.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(*.f64 (-.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)))
accuracy	0.154628759768442	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.15820203648305867	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))
accuracy	0.2735138672213042	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.078125	(/.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))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.14453125	(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.154628759768442	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.7814733269555303	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy	0.26171875	(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	7.998813485968071	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
accuracy	12.373519063360533	(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	15.09224077568752	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal -2 binary64))
accuracy	16.38030390043122	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
accuracy	30.86422095625236	#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
accuracy	0	(neg.f64 (tan.f64 x))
accuracy	0.06640625	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.078125	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.15820203648305867	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Samples

73.0ms	193×	0	valid
25.0ms	63×	0	invalid

Compiler

Compiled 583 to 82 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 14.0ms (18.8% of total)

ival-mult: 11.0ms (14.8% of total)

ival-pow: 11.0ms (14.8% of total)

ival-add: 8.0ms (10.7% of total)

ival-tan: 7.0ms (9.4% of total)

ival-sub: 6.0ms (8.1% of total)

ival-pow2: 5.0ms (6.7% of total)

const: 4.0ms (5.4% of total)

ival-exp: 3.0ms (4% of total)

ival-log: 3.0ms (4% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series57.0ms (0.7%)

Memory

-11.4MiB live, 147.2MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -2 binary64)) (patch (.f64 (.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.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))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.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))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.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))) (patch (.f64 (-.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))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.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))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.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))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/3 (pow x 2)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2 binary64)) (patch (.f64 (.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2 binary64)) (patch (.f64 (.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2 binary64)) (patch (.f64 (.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -2 binary64)) (patch (.f64 (.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2 (pow x 2)) 2))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

21.0ms

inf

((+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1)) (tan x) (neg (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (/ (pow x 4) (pow (+ (* x x) 1) 2)) (/ 1 (/ 1 (pow (tan x) 2))) (/ (- 1 (/ 1 (/ 1 (pow (tan x) 2)))) (+ (* (tan x) (tan x)) 1)) (- 1 (/ 1 (/ 1 (pow (tan x) 2)))) (/ 1 (pow (tan x) 2)) (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) (/ (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) (- (pow (tan x) 4) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (+ (* (tan x) (tan x)) 1) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

20.0ms

-inf

((+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1)) (tan x) (neg (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (/ (pow x 4) (pow (+ (* x x) 1) 2)) (/ 1 (/ 1 (pow (tan x) 2))) (/ (- 1 (/ 1 (/ 1 (pow (tan x) 2)))) (+ (* (tan x) (tan x)) 1)) (- 1 (/ 1 (/ 1 (pow (tan x) 2)))) (/ 1 (pow (tan x) 2)) (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) (/ (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) (- (pow (tan x) 4) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (+ (* (tan x) (tan x)) 1) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

4.0ms

((+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1)) (tan x) (neg (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (+ (* (* x x) -2) 1) (* (* x x) -2) (* x x) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (/ (pow x 4) (pow (+ (* x x) 1) 2)) (/ 1 (/ 1 (pow (tan x) 2))) (/ (- 1 (/ 1 (/ 1 (pow (tan x) 2)))) (+ (* (tan x) (tan x)) 1)) (- 1 (/ 1 (/ 1 (pow (tan x) 2)))) (/ 1 (pow (tan x) 2)) (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) (/ (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) (- (pow (tan x) 4) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (+ (* (tan x) (tan x)) 1) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1))

simplify165.0ms (2%)

Memory

2.4MiB live, 281.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	3621
1	712	3617
2	2167	3557
3	5743	3550
0	8199	3385

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 275

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 (* -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)))
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))))))))
(* -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
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -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)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 2)))
(/ 1 (+ 1 (pow x 2)))
(+ (* -1 (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2)))))) (/ 1 (+ 1 (pow x 2))))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -2/3 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 17/45 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 2/3 (/ 1 (+ 1 (pow x 2)))))))) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2)))))) (/ 1 (+ 1 (pow x 2))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -2/3 (/ (* (pow x 2) (+ (* -2/3 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 17/45 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 2/3 (/ 1 (+ 1 (pow x 2))))))) (+ 1 (pow x 2)))) (+ (* -17/45 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 62/315 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 17/45 (/ 1 (+ 1 (pow x 2))))))))) (+ (* -2/3 (/ (* (pow x 2) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2))))) (+ 1 (pow x 2)))) (+ (* 17/45 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (* 2/3 (/ 1 (+ 1 (pow x 2)))))))) (+ (* 2/3 (/ (pow x 2) (pow (+ 1 (pow x 2)) 2))) (/ 1 (+ 1 (pow x 2)))))) (/ 1 (+ 1 (pow x 2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 4/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 4/3 (* -2/3 (pow x 2)))) 2)))
(pow x 4)
(* (pow x 4) (+ 1 (* -2 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 3 (pow x 2)) 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3 (* -4 (pow x 2)))) 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
1
(+ 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 (* -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 x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
-1
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* 1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/3 (* -26/45 (pow x 2)))))) 1)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -1 (pow x 2)))
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(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
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(pow x 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))))))))
-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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (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))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (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 (/ (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))
(* (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* 2 (/ 1 (pow x 2))) 1)
(- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 2 (pow x 4))))
(- (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))) (+ 1 (/ 2 (pow x 4))))
(/ (- 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))))
-5/3
(- (* 10/3 (/ 1 (pow x 2))) 5/3)
(- (* 10/3 (/ 1 (pow x 2))) (+ 5/3 (/ 4 (pow x 4))))
(- (+ (* 10/3 (/ 1 (pow x 2))) (* 14/3 (/ 1 (pow x 6)))) (+ 5/3 (/ 4 (pow x 4))))
1
(- 1 (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 4 (/ 1 (pow x 6)))))
(/ (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 (/ (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)))
(/ (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))
(* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (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))
(* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (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))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
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(- 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 (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 (/ (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 (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) 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 (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (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))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (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 (/ (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))
(* (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* 2 (/ 1 (pow x 2))) 1)
(- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 2 (pow x 4))))
(- (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))) (+ 1 (/ 2 (pow x 4))))
(/ (- 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))))
-5/3
(- (* 10/3 (/ 1 (pow x 2))) 5/3)
(- (* 10/3 (/ 1 (pow x 2))) (+ 5/3 (/ 4 (pow x 4))))
(- (+ (* 10/3 (/ 1 (pow x 2))) (* 14/3 (/ 1 (pow x 6)))) (+ 5/3 (/ 4 (pow x 4))))
1
(- 1 (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 4 (/ 1 (pow x 6)))))
(/ (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 (/ (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)))
(/ (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))
(* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (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))
(* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (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))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 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)))
(/ (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 (/ (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 (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) 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)

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)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/3 (pow x 2)) 1))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -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)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2 (pow x 2)) 2)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 1 (+ 1 (pow x 2)))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
-5/3
#s(literal -5/3 binary64)
(- (* 10/3 (/ 1 (pow x 2))) 5/3)
(-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))
(- (* 10/3 (/ 1 (pow x 2))) (+ 5/3 (/ 4 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 10/3 (/ 1 (pow x 2))) (* 14/3 (/ 1 (pow x 6)))) (+ 5/3 (/ 4 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 14/3 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 5/3 binary64) (/.f64 #s(literal 10/3 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (+ 1 (/ 3 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(-.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (+ 1 (/ 3 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 4 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (- 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)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 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))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 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))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 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))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 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))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))
(- 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 (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 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 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) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))

rewrite158.0ms (1.9%)

Memory

1.8MiB live, 315.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	262
0	80	231
1	349	229
2	2602	222
0	8835	220

Stop Event

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

Counts

23 → 1 239

Calls

Call 1

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

Outputs
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eval367.0ms (4.5%)

Memory: 59.1MiB live, 624.2MiB allocated
Compiler: Compiled 53 572 to 4 469 computations (91.7% saved)

prune134.0ms (1.6%)

Memory

-42.5MiB live, 222.9MiB allocated

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	2 055	18	2 073
Fresh	14	31	45
Picked	3	2	5
Done	0	3	3
Total	2 072	54	2 126

Accuracy

100.0%

Counts

2 126 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
✓	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.1%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
✓	99.3%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
	58.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	74.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal -1/2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #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)))
	58.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	58.6%	(/.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))))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
	55.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (tan x) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.2%	(/.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 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	59.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	59.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (+.f64 (tan.f64 x) #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)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) #s(literal -1 binary64))))
	99.5%	(/.f64 (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) #s(literal -1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	99.4%	(/.f64 (*.f64 (-.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))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (.f64 (-.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))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) #s(literal 1 binary64)))
	99.3%	(/.f64 (*.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 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
	57.7%	(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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))))
	99.4%	(/.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)))))
	99.4%	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
	99.2%	(*.f64 (pow.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)))
	99.2%	(*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))
	50.4%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
	50.3%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(approx (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) #s(literal 1 binary64))))
	51.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
	51.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
	11.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
	7.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
	5.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
✓	54.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 3 239 to 1 017 computations (68.6% saved)

regimes131.0ms (1.6%)

Memory

14.8MiB live, 169.4MiB allocated

Counts

113 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.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))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
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(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (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 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (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)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (pow.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 6 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Calls

4 calls:

32.0ms	x
32.0ms	(/.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))))
31.0ms	(tan.f64 x)
30.0ms	(*.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 23 to 13 computations (43.5% saved)

regimes51.0ms (0.6%)

Memory

-9.5MiB live, 65.2MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.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))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(approx (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) #s(literal 1 binary64))))
(/.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))))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (tan x) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (pow (tan x) 2)) -1) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))

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:

15.0ms	(tan.f64 x)
15.0ms	x
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
9.0ms	(*.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 23 to 13 computations (43.5% saved)

regimes48.0ms (0.6%)

Memory

-19.2MiB live, 65.8MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.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))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(approx (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) #s(literal 1 binary64))))
(/.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))))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (tan x) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (pow (tan x) 2)) -1) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))

Calls

4 calls:

14.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
10.0ms	x
10.0ms	(tan.f64 x)
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
59.3%	1	`x`
59.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
59.3%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
59.3%	1	`(tan.f64 x)`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes40.0ms (0.5%)

Memory

21.1MiB live, 60.0MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.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))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(approx (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) #s(literal 1 binary64))))
(/.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))))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (tan x) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (pow (tan x) 2)) -1) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.2%	1	`x`
59.2%	1	`(tan.f64 x)`
59.2%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
59.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes41.0ms (0.5%)

Memory

-22.6MiB live, 59.2MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.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))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(approx (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) #s(literal 1 binary64))))
(/.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))))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (tan x) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (pow (tan x) 2)) -1) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal -1 binary64)))))

Outputs

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

Calls

4 calls:

10.0ms	(tan.f64 x)
10.0ms	x
9.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
59.2%	1	`x`
59.2%	1	`(tan.f64 x)`
59.2%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
59.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes36.0ms (0.4%)

Memory

15.5MiB live, 54.5MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.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))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (* (- (pow (tan x) 4) 1) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(approx (* (- 1 (* x x)) (/ 1 (+ (* x x) 1))) #s(literal 1 binary64))))
(/.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))))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (pow (tan x) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

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

Calls

4 calls:

9.0ms	x
9.0ms	(tan.f64 x)
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
8.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
58.6%	1	`x`
58.6%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
58.6%	1	`(tan.f64 x)`
58.6%	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))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes27.0ms (0.3%)

Memory

2.1MiB live, 40.8MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))

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

Calls

4 calls:

7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	x
6.0ms	(tan.f64 x)
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
57.7%	1	`x`
57.7%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
57.7%	1	`(tan.f64 x)`
57.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes26.0ms (0.3%)

Memory

0.2MiB live, 39.1MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 10/3 binary64) (*.f64 x x)) #s(literal 5/3 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 #s(approx (/ (pow x 4) (pow (+ (* x x) 1) 2)) #s(literal 1 binary64)) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64)))

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

Calls

4 calls:

7.0ms	(tan.f64 x)
6.0ms	x
6.0ms	(/.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))))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
54.2%	1	`x`
58.4%	3	`(tan.f64 x)`
58.4%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
58.4%	2	`(*.f64 (tan.f64 x) (tan.f64 x))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(tan.f64 x)
1.0ms	(/.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))))
1.0ms	x
1.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
54.2%	1	`x`
54.2%	1	`(tan.f64 x)`
54.2%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
54.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.023851830776819103	0.01099296806377025

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify29.0ms (0.4%)

Memory

3.0MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	253
1	100	253
2	115	253
3	127	253
4	131	253

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.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)))
(/.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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.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 -5764607523034235/288230376151711744 binary64)) #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64))) #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Outputs
(/.f64 (-.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)))
(/.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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) 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 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) 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 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) -1)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.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 -5764607523034235/288230376151711744 binary64)) #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64))) #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (exp 2) (log (tan x))))) #s(approx (+ (* (/ (pow x 4) (pow (+ (* x x) 1) 2)) -2/3) (* (- 1 (* x x)) (/ 1 (+ (* x x) 1)))) #s(literal -5/3 binary64))) #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

soundness1.4s (16.7%)

Memory

7.7MiB live, 1 054.8MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	150
0	53	116
1	211	116
2	1370	116
0	8897	116
0	35	178
0	61	145
1	249	145
2	1632	85
0	9596	85
0	193	2904
1	531	2902
2	1717	2838
3	4841	2818
0	8075	2685
0	7	34
0	12	29
1	51	29
2	359	29
3	5062	17
0	10307	17
0	129	2913
1	344	2910
2	972	2860
3	3085	2860
4	4451	2854
5	6993	2854
0	8019	2752
0	61	603
1	151	602
2	409	588
3	1148	588
4	2136	588
5	3911	588
6	5280	588
0	8018	567
0	260	3621
1	712	3617
2	2167	3557
3	5743	3550
0	8199	3385

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

Compiler

Compiled 617 to 265 computations (57.1% saved)

preprocess76.0ms (0.9%)

Memory: 7.0MiB live, 163.8MiB allocated
Remove: (abs x)
Compiler: Compiled 428 to 188 computations (56.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze162.0ms (2%)

sample839.0ms (10.3%)

explain107.0ms (1.3%)

preprocess304.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify185.0ms (2.3%)

localize28.0ms (0.3%)

series6.0ms (0.1%)

simplify177.0ms (2.2%)

rewrite134.0ms (1.6%)

eval64.0ms (0.8%)

prune498.0ms (6.1%)

simplify154.0ms (1.9%)

localize97.0ms (1.2%)

series111.0ms (1.4%)

simplify157.0ms (1.9%)

rewrite187.0ms (2.3%)

eval499.0ms (6.1%)

prune129.0ms (1.6%)

simplify126.0ms (1.5%)

localize128.0ms (1.6%)

series19.0ms (0.2%)

simplify231.0ms (2.8%)

rewrite194.0ms (2.4%)

eval473.0ms (5.8%)

prune119.0ms (1.5%)

simplify145.0ms (1.8%)

localize130.0ms (1.6%)

series57.0ms (0.7%)

simplify165.0ms (2%)

rewrite158.0ms (1.9%)

eval367.0ms (4.5%)

prune134.0ms (1.6%)

regimes131.0ms (1.6%)

regimes51.0ms (0.6%)

regimes48.0ms (0.6%)

regimes40.0ms (0.5%)

regimes41.0ms (0.5%)

regimes36.0ms (0.4%)

regimes27.0ms (0.3%)

regimes26.0ms (0.3%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

simplify29.0ms (0.4%)

soundness1.4s (16.7%)

preprocess76.0ms (0.9%)

end0.0ms (0%)

Profiling