Metrics for Trigonometry B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze138.0ms (2%)

Memory

0.8MiB live, 358.4MiB 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)

sample854.0ms (12.1%)

Memory

45.4MiB live, 1 694.2MiB allocated

Samples

596.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-tan: 206.0ms (48.6% of total)

ival-mult: 60.0ms (14.1% of total)

ival-div: 56.0ms (13.2% of total)

ival-add: 44.0ms (10.4% of total)

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

ival-true: 7.0ms (1.7% of total)

exact: 6.0ms (1.4% of total)

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

Bogosity

explain118.0ms (1.7%)

Memory

6.1MiB live, 243.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

44.0ms

512×

valid

Compiler

Compiled 133 to 32 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-tan: 17.0ms (56.8% of total)

ival-mult: 4.0ms (13.4% of total)

ival-sub: 3.0ms (10% of total)

ival-div: 3.0ms (10% of total)

ival-add: 3.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

preprocess301.0ms (4.3%)

Memory

-10.3MiB live, 204.6MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify199.0ms (2.8%)

Memory

5.5MiB live, 204.6MiB 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))

localize27.0ms (0.4%)

Memory

-18.5MiB live, 58.5MiB 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	0.13208508277819156	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.1796875	(/.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	0.240566259768442	(*.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: 14.0ms

ival-tan: 7.0ms (51.4% of total)

ival-div: 2.0ms (14.7% of total)

ival-mult: 2.0ms (14.7% of total)

ival-sub: 1.0ms (7.3% of total)

ival-add: 1.0ms (7.3% 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

14.7MiB live, 14.7MiB 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)))

simplify141.0ms (2%)

Memory

9.8MiB live, 200.1MiB 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)))

rewrite159.0ms (2.2%)

Memory

-1.2MiB live, 272.1MiB 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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eval62.0ms (0.9%)

Memory: -0.7MiB live, 155.3MiB allocated
Compiler: Compiled 13 356 to 1 023 computations (92.3% saved)

prune39.0ms (0.6%)

Memory

-3.9MiB live, 117.2MiB allocated

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	447	32	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	448	32	480

Accuracy

99.9%

Counts

480 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 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 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (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))))
	99.3%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.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)) (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))))
	99.4%	(/.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #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))))
	99.4%	(/.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 (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)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (/.f64 (-.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 -2 binary64)) (pow.f64 (/.f64 (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)))) #s(literal 2 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 (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 (.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 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (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 (/.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))))
▶	99.4%	(/.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) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.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 (tan.f64 x) (pow.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) (/.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))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
▶	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 #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) (*.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))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	60.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (.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 6 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))) (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))))
	52.0%	#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)))
	52.0%	#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)))
	52.0%	#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)))
▶	55.9%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 452 to 772 computations (46.8% saved)

simplify206.0ms (2.9%)

Memory

7.8MiB live, 317.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	7040	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.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))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	12480	(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
cost-diff	128	(/.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))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
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 #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)))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	288
0	62	274
1	114	274
2	215	273
3	591	269
4	2086	269
5	3762	269
6	6750	269
0	8243	269

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) (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))))
(-.f64 #s(literal 1 binary64) (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))
(tan.f64 x)
x
#s(literal -1 binary64)
#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))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #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
(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))
#s(literal 1 binary64)
(pow.f64 (tan.f64 x) #s(literal 12 binary64))
(tan.f64 x)
x
#s(literal 12 binary64)
(*.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64)))
(pow.f64 (tan.f64 x) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))

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)) (-.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
(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) (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))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (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))
(tan.f64 x)
x
#s(literal -1 binary64)
#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))) (exp.f64 (log1p.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))))
(-.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
(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 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 12 binary64)))
#s(literal 1 binary64)
(pow.f64 (tan.f64 x) #s(literal 12 binary64))
(tan.f64 x)
x
#s(literal 12 binary64)
(*.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
#s(literal 4 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))

localize101.0ms (1.4%)

Memory

13.3MiB live, 248.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.240566259768442	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.4552690430532609	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.7192495538226795	(pow.f64 (tan.f64 x) #s(literal 8 binary64))
accuracy	0.9355546871759782	(pow.f64 (tan.f64 x) #s(literal 12 binary64))
accuracy	0.14585878907376806	(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy	0.1796875	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
accuracy	0.232753759768442	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.240566259768442	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.13208508277819156	(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
accuracy	0.1796875	(/.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))))
accuracy	0.240566259768442	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.3574600586106521	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	28.245159873459468	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
accuracy	0.10546875	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.13208508277819156	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.1796875	(/.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	0.240566259768442	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

72.0ms

256×

valid

Compiler

Compiled 573 to 66 computations (88.5% saved)

Precisions

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

ival-pow: 14.0ms (26.8% of total)

ival-div: 8.0ms (15.3% of total)

ival-tan: 7.0ms (13.4% of total)

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

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

ival-exp: 3.0ms (5.7% of total)

ival-mult: 3.0ms (5.7% of total)

ival-pow2: 3.0ms (5.7% of total)

ival-log1p: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

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

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

series26.0ms (0.4%)

Memory

18.1MiB live, 58.4MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#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) (.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 (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) (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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 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 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (patch (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 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 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 12 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 8 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>) () ())

Outputs
#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 (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 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>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (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 (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (exp (log (+ 1 (pow (tan x) 2)))) (/ (- 1 (* (tan x) (tan x))) (exp (log (+ 1 (pow (tan x) 2))))) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (- 1 (pow (tan x) 12)) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (pow (tan x) 12) (pow (tan x) 8) (pow (tan x) 4))
6.0ms	x	@	-inf	((* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (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 (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (exp (log (+ 1 (pow (tan x) 2)))) (/ (- 1 (* (tan x) (tan x))) (exp (log (+ 1 (pow (tan x) 2))))) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (- 1 (pow (tan x) 12)) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (pow (tan x) 12) (pow (tan x) 8) (pow (tan x) 4))
2.0ms	x	@	0	((* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (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 (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (exp (log (+ 1 (pow (tan x) 2)))) (/ (- 1 (* (tan x) (tan x))) (exp (log (+ 1 (pow (tan x) 2))))) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (- 1 (pow (tan x) 12)) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (pow (tan x) 12) (pow (tan x) 8) (pow (tan x) 4))

Time

Variable

Point

Expression

10.0ms

inf

((* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (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 (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (exp (log (+ 1 (pow (tan x) 2)))) (/ (- 1 (* (tan x) (tan x))) (exp (log (+ 1 (pow (tan x) 2))))) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (- 1 (pow (tan x) 12)) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (pow (tan x) 12) (pow (tan x) 8) (pow (tan x) 4))

6.0ms

-inf

((* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (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 (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (exp (log (+ 1 (pow (tan x) 2)))) (/ (- 1 (* (tan x) (tan x))) (exp (log (+ 1 (pow (tan x) 2))))) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (- 1 (pow (tan x) 12)) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (pow (tan x) 12) (pow (tan x) 8) (pow (tan x) 4))

2.0ms

((* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (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 (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (exp (log (+ 1 (pow (tan x) 2)))) (/ (- 1 (* (tan x) (tan x))) (exp (log (+ 1 (pow (tan x) 2))))) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (- 1 (pow (tan x) 12)) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (pow (tan x) 12) (pow (tan x) 8) (pow (tan x) 4))

simplify175.0ms (2.5%)

Memory

12.3MiB live, 279.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	3168
1	460	3164
2	1341	3132
3	3007	3132
4	5035	3126
5	7452	3126
0	8073	3025

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 215

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
1
(+ 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)))
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 (* -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
(+ 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 (* -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
(+ 1 (* -1 (pow x 12)))
(+ 1 (* (pow x 12) (- (* -4 (pow x 2)) 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)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(pow x 12)
(* (pow x 12) (+ 1 (* 4 (pow x 2))))
(* (pow x 12) (+ 1 (* (pow x 2) (+ 4 (* 134/15 (pow x 2))))))
(* (pow x 12) (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 134/15 (* 13856/945 (pow x 2))))))))
(pow x 8)
(* (pow x 8) (+ 1 (* 8/3 (pow x 2))))
(* (pow x 8) (+ 1 (* (pow x 2) (+ 8/3 (* 188/45 (pow x 2))))))
(* (pow x 8) (+ 1 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 188/45 (* 944/189 (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))))))))
(/ (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)))
(/ (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)))
(/ (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) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin 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))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (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))
(/ (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)))
(/ (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)))
(/ (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) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(- 1 (/ (pow (sin x) 12) (pow (cos x) 12)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin 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))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 12) (pow (cos x) 12))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (pow (sin x) 8) (pow (cos x) 8))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))

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

rewrite245.0ms (3.5%)

Memory

-5.0MiB live, 349.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	181
0	62	129
1	242	129
2	1650	129
0	8873	129

Stop Event

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

Counts

18 → 1 751

Calls

Call 1

Inputs
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(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) (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))))
(-.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))
(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 12 binary64))
(pow.f64 (tan.f64 x) #s(literal 8 binary64))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))

Outputs
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eval456.0ms (6.4%)

Memory: 24.2MiB live, 1 095.4MiB allocated
Compiler: Compiled 105 563 to 4 332 computations (95.9% saved)

prune411.0ms (5.8%)

Memory

-29.6MiB live, 320.1MiB allocated

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	2 842	33	2 875
Fresh	20	7	27
Picked	4	1	5
Done	0	0	0
Total	2 866	41	2 907

Accuracy

100.0%

Counts

2 907 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.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 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 12 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #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)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	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))))
	99.4%	(/.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))))
	99.2%	(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -6 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 4 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
	99.3%	(/.f64 (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	76.1%	(/.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)))
	76.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (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)))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.5%	(/.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)))
	76.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.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)))
	99.4%	(/.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))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))
	60.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	56.2%	(/.f64 #s(approx (- 1 (* (tan x) (tan x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 #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)))))
	99.3%	(-.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)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
▶	99.4%	(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (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) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.2%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (pow.f64 (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 8 binary64)))) #s(literal -1 binary64)))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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)))
	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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)))
▶	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	55.9%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 642 to 949 computations (42.2% saved)

simplify137.0ms (1.9%)

Memory

0.1MiB live, 230.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	0	(neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff	0	(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
cost-diff	25792	(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (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 (sin.f64 x) (cos.f64 x))
cost-diff	0	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
cost-diff	0	(/.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)))
cost-diff	0	(tan.f64 x)
cost-diff	0	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #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: 3 (0.0ms)

Iter	Nodes	Cost
0	43	256
0	70	246
1	127	245
2	300	244
3	859	240
4	3049	240
5	6735	240
0	8231	240

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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (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))
(tan.f64 x)
x
#s(literal 1 binary64)
(neg.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)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.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)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
x
(cos.f64 x)
(tan.f64 x)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(/.f64 (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) (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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (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))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.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)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (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))
(tan.f64 x)
x
#s(literal 1 binary64)
(neg.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))
#s(literal 2 binary64)
(/.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)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x) #s(literal -1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
(neg.f64 (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
x
(cos.f64 x)
(tan.f64 x)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (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))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(/.f64 (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) (tan.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)

localize122.0ms (1.7%)

Memory

7.5MiB live, 280.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.15595629884221007	(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
accuracy	0.232753759768442	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.36891850707537754	(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
accuracy	0.13208508277819156	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
accuracy	0.1796875	(/.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)))
accuracy	0.1796875	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.240566259768442	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
accuracy	0.13208508277819156	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.14453125	(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.221035009768442	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
accuracy	0.232753759768442	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	30.732882777645422	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.10546875	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.13208508277819156	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.1796875	(/.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	0.232753759768442	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Samples

94.0ms

256×

valid

Compiler

Compiled 494 to 70 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 13.0ms (17.7% of total)

ival-mult: 10.0ms (13.7% of total)

ival-pow: 8.0ms (10.9% of total)

ival-add: 7.0ms (9.6% of total)

ival-tan: 7.0ms (9.6% of total)

ival-sin: 6.0ms (8.2% of total)

ival-sub: 5.0ms (6.8% of total)

ival-cos: 5.0ms (6.8% of total)

ival-log1p: 3.0ms (4.1% of total)

ival-pow2: 3.0ms (4.1% of total)

ival-neg: 3.0ms (4.1% of total)

ival-exp: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series165.0ms (2.3%)

Memory

-14.7MiB live, 220.0MiB 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) ( (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (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 (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (patch (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) (cos.f64 x)) (patch (/.f64 (sin.f64 x) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (patch (-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (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 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (patch (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (patch (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) ( (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) ( (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) ( (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) ( (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

70.0ms

inf

((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (* (/ -1 (+ (* (tan x) (tan x)) 1)) (neg (- 1 (pow (tan x) 2)))) (/ -1 (+ (* (tan x) (tan x)) 1)) (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (/ (sin x) (cos x)) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (/ (sin x) (cos x)) (tan x))) (* (/ (sin x) (cos x)) (tan x)) (/ (sin x) (cos x)) (- (exp (neg (log (+ 1 (pow (tan x) 2))))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (exp (neg (log (+ 1 (pow (tan x) 2))))) (neg (log (+ 1 (pow (tan x) 2)))) (log (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)))

61.0ms

-inf

((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (* (/ -1 (+ (* (tan x) (tan x)) 1)) (neg (- 1 (pow (tan x) 2)))) (/ -1 (+ (* (tan x) (tan x)) 1)) (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (/ (sin x) (cos x)) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (/ (sin x) (cos x)) (tan x))) (* (/ (sin x) (cos x)) (tan x)) (/ (sin x) (cos x)) (- (exp (neg (log (+ 1 (pow (tan x) 2))))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (exp (neg (log (+ 1 (pow (tan x) 2))))) (neg (log (+ 1 (pow (tan x) 2)))) (log (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)))

8.0ms

((/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (* (/ -1 (+ (* (tan x) (tan x)) 1)) (neg (- 1 (pow (tan x) 2)))) (/ -1 (+ (* (tan x) (tan x)) 1)) (+ (* (tan x) (tan x)) 1) (/ (- 1 (* (/ (sin x) (cos x)) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (/ (sin x) (cos x)) (tan x))) (* (/ (sin x) (cos x)) (tan x)) (/ (sin x) (cos x)) (- (exp (neg (log (+ 1 (pow (tan x) 2))))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (exp (neg (log (+ 1 (pow (tan x) 2))))) (neg (log (+ 1 (pow (tan x) 2)))) (log (+ 1 (pow (tan x) 2))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)))

simplify136.0ms (1.9%)

Memory

40.7MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	3050
1	452	3039
2	1292	2994
3	2774	2953
4	6273	2936
0	8215	2789

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

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)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
-1
(- (pow 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)
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))))))))
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 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/6 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -2/45 (pow x 2)) 1/6)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -17/1260 (pow x 2)) 2/45)) 1/6)) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 2/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 2/45 (* 17/1260 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin 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) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ -1 (+ 1 (/ (pow (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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin 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))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin 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) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ -1 (+ 1 (/ (pow (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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin 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))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -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 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (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))))))))
(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)
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)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 x x #s(literal -1 binary64)))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (fma.f64 x x #s(literal 1 binary64)))
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 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (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))))))))
(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 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (neg.f64 x)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
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rewrite199.0ms (2.8%)

Memory

-9.8MiB live, 393.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	192
0	70	167
1	291	167
2	2243	148
0	8177	148

Stop Event

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

Counts

19 → 1 494

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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Outputs
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eval390.0ms (5.5%)

Memory: 31.9MiB live, 1 079.2MiB allocated
Compiler: Compiled 84 660 to 4 368 computations (94.8% saved)

prune101.0ms (1.4%)

Memory

-12.3MiB live, 358.6MiB allocated

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	2 749	21	2 770
Fresh	14	21	35
Picked	3	2	5
Done	0	1	1
Total	2 766	45	2 811

Accuracy

100.0%

Counts

2 811 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.5%	(/.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)))
	99.4%	(/.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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 4 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
	62.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 (neg.f64 (cos.f64 x)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (cos.f64 x)))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	76.1%	(/.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)))
	76.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
▶	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (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)))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.5%	(/.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)))
	76.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.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))))
	60.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #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 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))
	60.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
	52.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 #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)))))
	99.3%	(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	99.4%	(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
	99.3%	(+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (neg.f64 (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 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
▶	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))))
	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))))
	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	51.4%	(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	60.1%	(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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)))
	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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)))
✓	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
	51.4%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
	51.4%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
▶	2.5%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
✓	55.9%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 1 592 to 977 computations (38.6% saved)

simplify133.0ms (1.9%)

Memory

-21.6MiB live, 210.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	256	(neg.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff	6080	(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (sin.f64 x) (cos.f64 x))
cost-diff	0	(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	273
0	78	270
1	146	269
2	338	260
3	1113	260
4	4025	260
5	7004	260
0	8293	256

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (2.1%)

Memory

18.7MiB live, 377.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.170253759768442	(*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))
accuracy	0.20829977777536882	(fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	0.221035009768442	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
accuracy	0.13208508277819156	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)))
accuracy	0.1796875	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.1796875	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.232753759768442	(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))
accuracy	0	(neg.f64 (tan.f64 x))
accuracy	0.10546875	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.1796875	(/.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	0.2918588813215732	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(.f64 (.f64 x x) #s(literal -2 binary64))
accuracy	30.732882777645422	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
accuracy	31.938653238989303	#s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
accuracy	0.03515625	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.13208508277819156	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.1796875	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.232753759768442	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Samples

111.0ms

256×

valid

Compiler

Compiled 494 to 78 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 26.0ms (28.8% of total)

ival-add: 12.0ms (13.3% of total)

ival-pow: 12.0ms (13.3% of total)

ival-div: 10.0ms (11.1% of total)

ival-tan: 7.0ms (7.7% of total)

ival-sin: 6.0ms (6.6% of total)

ival-cos: 6.0ms (6.6% of total)

ival-pow2: 5.0ms (5.5% of total)

ival-sub: 4.0ms (4.4% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series27.0ms (0.4%)

Memory

-5.0MiB live, 72.7MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (/.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))) (patch (/.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))) #<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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* -2 (* x x)) 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 (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 (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) (cos.f64 x)) (patch (/.f64 (sin.f64 x) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (patch (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (patch (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #<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))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch (/.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))) #<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))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch (/.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))) #<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))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch (/.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))) #<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))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch (/.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))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* -2 (* x x)) 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 (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* -2 (* x x)) 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 (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* -2 (* x x)) 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 (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))) (patch #s(approx (+ (* -2 (* x x)) 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 (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 (* -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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#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 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (cos.f64 x)) (patch (/.f64 (sin.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (cos.f64 x)) (patch (/.f64 (sin.f64 x) (cos.f64 x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

inf

((/ (- 1 (pow (tan x) 2)) (+ (pow (tan x) 2) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* (* x x) -2) (* x x) (+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1)) (neg (tan x)) (/ (- 1 (pow (/ (sin x) (cos x)) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (/ (sin x) (cos x)) 2)) (pow (/ (sin x) (cos x)) 2) (/ (sin x) (cos x)) (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1) (* (/ -1 (+ (* (tan x) (tan x)) 1)) (neg (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1))) (neg (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1)) (/ -1 (+ (* (tan x) (tan x)) 1)) (+ (pow (tan x) 2) 1) (+ (* (tan x) (tan x)) 1) (* (neg (tan x)) (sin x)))

7.0ms

-inf

((/ (- 1 (pow (tan x) 2)) (+ (pow (tan x) 2) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* (* x x) -2) (* x x) (+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1)) (neg (tan x)) (/ (- 1 (pow (/ (sin x) (cos x)) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (/ (sin x) (cos x)) 2)) (pow (/ (sin x) (cos x)) 2) (/ (sin x) (cos x)) (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1) (* (/ -1 (+ (* (tan x) (tan x)) 1)) (neg (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1))) (neg (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1)) (/ -1 (+ (* (tan x) (tan x)) 1)) (+ (pow (tan x) 2) 1) (+ (* (tan x) (tan x)) 1) (* (neg (tan x)) (sin x)))

2.0ms

((/ (- 1 (pow (tan x) 2)) (+ (pow (tan x) 2) 1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* (* x x) -2) (* x x) (+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1)) (neg (tan x)) (/ (- 1 (pow (/ (sin x) (cos x)) 2)) (+ (* (tan x) (tan x)) 1)) (- 1 (pow (/ (sin x) (cos x)) 2)) (pow (/ (sin x) (cos x)) 2) (/ (sin x) (cos x)) (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1) (* (/ -1 (+ (* (tan x) (tan x)) 1)) (neg (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1))) (neg (+ (* (* (neg (tan x)) (sin x)) (pow (cos x) -1)) 1)) (/ -1 (+ (* (tan x) (tan x)) 1)) (+ (pow (tan x) 2) 1) (+ (* (tan x) (tan x)) 1) (* (neg (tan x)) (sin x)))

simplify180.0ms (2.5%)

Memory

31.0MiB live, 338.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	3156
1	385	3152
2	1045	3076
3	3389	3076
4	5520	3076
0	8192	2971

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

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)))
(* -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 (* -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 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 (* -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 (* -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
(- (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 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 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
(+ 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))
(* (pow x 2) (- (* -1/6 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 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) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (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 (/ (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))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin 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 (* -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))))
(* -1 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (+ 1 (* -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 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (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)))
(/ (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) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (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 (/ (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))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin 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 (* -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))))
(* -1 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (+ 1 (* -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 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))

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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (.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)
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))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 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 x)
(neg.f64 x)
(* x (- (* -1/3 (pow x 2)) 1))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(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)) (neg.f64 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 (* -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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (.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)
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 (* -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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 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)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #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))
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 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (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))
(*.f64 (neg.f64 x) x)
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(/ (- 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 (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)))
(/ (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) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (pow.f64 (cos.f64 x) #s(literal 12 binary64)))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (pow.f64 (cos.f64 x) #s(literal 12 binary64)))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (pow.f64 (cos.f64 x) #s(literal 12 binary64)))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/ (- 1 (/ (pow (sin x) 12) (pow (cos x) 12))) (* (+ 1 (+ (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 8) (pow (cos x) 8)))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (pow.f64 (cos.f64 x) #s(literal 12 binary64)))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal 2 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))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 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 (* -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 (* -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 (* -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 (/ (sin x) (cos x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(* -1 (/ (sin x) (cos x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(* -1 (/ (sin x) (cos x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(* -1 (/ (sin x) (cos x)))
(/.f64 (neg.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)))
(- 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)))
(/ (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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 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 (* -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 (* -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 (* -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 (+ 1 (* -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 (* -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 (* -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 (* -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)))
(+ 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)))
(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) (cos x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(* -1 (/ (pow (sin x) 2) (cos x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(* -1 (/ (pow (sin x) 2) (cos x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(* -1 (/ (pow (sin x) 2) (cos x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))

rewrite207.0ms (2.9%)

Memory

-14.3MiB live, 400.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	227
0	78	191
1	335	190
2	2291	171
0	8249	169

Stop Event

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

Counts

22 → 1 643

Calls

Call 1

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

Outputs
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eval400.0ms (5.7%)

Memory: 2.7MiB live, 1 104.1MiB allocated
Compiler: Compiled 74 142 to 3 961 computations (94.7% saved)

prune106.0ms (1.5%)

Memory

-2.0MiB live, 394.7MiB allocated

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	2 588	19	2 607
Fresh	13	24	37
Picked	3	2	5
Done	0	3	3
Total	2 604	48	2 652

Accuracy

100.0%

Counts

2 652 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	60.1%	(/.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)))
	99.3%	(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.5%	(/.f64 (/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.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)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	62.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 (neg.f64 (cos.f64 x)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (cos.f64 x)))
	76.1%	(/.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)))
	76.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	60.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (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 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
✓	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(approx (pow (tan 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)) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.5%	(/.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)))
	76.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.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))))
	60.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
	99.4%	(/.f64 #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)))))
	99.3%	(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	99.4%	(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
	99.3%	(+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (neg.f64 (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 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.5%	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	51.4%	(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	60.1%	(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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)))
	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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)))
✓	52.0%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
	51.4%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
	51.4%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓	2.5%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
	2.5%	#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
✓	55.9%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))

Compiler

Compiled 3 022 to 879 computations (70.9% saved)

regimes117.0ms (1.7%)

Memory

5.1MiB live, 333.0MiB allocated

Counts

106 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.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))) (+.f64 #s(approx (pow (tan 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)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))) (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) (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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (fma.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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.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)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 #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 (-.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) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (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 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.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 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.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)))
(/.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) (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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (/.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.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 (-.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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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)))))
(/.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))))
(/.f64 (fma.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #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)))
(/.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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #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 -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.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))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.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 (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)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.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))))
(/.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (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 4 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (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 4 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (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 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (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 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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 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)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.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 (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 6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (pow.f64 (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 8 binary64)))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #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)) (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 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (neg.f64 (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 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -6 binary64))) (.f64 (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 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (cos.f64 x)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (cos.f64 x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 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 (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)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (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 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (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))))
(/.f64 (/.f64 (-.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 -2 binary64)) (pow.f64 (/.f64 (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)))) #s(literal 2 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 (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))))
(/.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 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 12 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))) (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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Calls

4 calls:

31.0ms	(tan.f64 x)
28.0ms	x
27.0ms	(/.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))))
26.0ms	(*.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)

regimes30.0ms (0.4%)

Memory

10.7MiB live, 91.3MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.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))) (+.f64 #s(approx (pow (tan 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)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))) (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)))

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:

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

regimes28.0ms (0.4%)

Memory

5.4MiB live, 83.8MiB 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) #s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)))
(.f64 #s(approx (/ -1 (+ ( (tan x) (tan x)) 1)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.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))) (+.f64 #s(approx (pow (tan 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)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (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)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (tan x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.1%	1	`x`
60.1%	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))))`
60.1%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
60.1%	1	`(tan.f64 x)`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes18.0ms (0.3%)

Memory

-27.6MiB live, 52.9MiB allocated

Accuracy

Total -34.8b remaining (-123.1%)

Threshold costs -34.8b (-123.1%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 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 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (/ (/ (- 1 (pow (tan x) 12)) (* (+ (* (tan x) (tan x)) 1) (+ (+ 1 (pow (tan x) 8)) (pow (tan x) 4)))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.9%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
55.9%	1	`(tan.f64 x)`
55.9%	1	`x`
55.9%	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)

simplify26.0ms (0.4%)

Memory

0.5MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	33	62
2	47	62
3	64	61
4	92	61
5	108	61
6	118	61
7	138	61
8	156	61

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

soundness675.0ms (9.5%)

Memory

8.8MiB live, 699.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	3050
1	452	3039
2	1292	2994
3	2774	2953
4	6273	2936
0	8215	2789
0	37	181
0	62	129
1	242	129
2	1650	129
0	8873	129
0	7	34
0	12	29
1	51	29
2	359	29
3	5062	17
0	10307	17
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	43	192
0	70	167
1	291	167
2	2243	148
0	8177	148

Stop Event

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

Compiler

Compiled 214 to 85 computations (60.3% saved)

preprocess65.0ms (0.9%)

Memory: 20.1MiB live, 178.4MiB allocated
Remove: (abs x)
Compiler: Compiled 156 to 76 computations (51.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze138.0ms (2%)

sample854.0ms (12.1%)

explain118.0ms (1.7%)

preprocess301.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify199.0ms (2.8%)

localize27.0ms (0.4%)

series6.0ms (0.1%)

simplify141.0ms (2%)

rewrite159.0ms (2.2%)

eval62.0ms (0.9%)

prune39.0ms (0.6%)

simplify206.0ms (2.9%)

localize101.0ms (1.4%)

series26.0ms (0.4%)

simplify175.0ms (2.5%)

rewrite245.0ms (3.5%)

eval456.0ms (6.4%)

prune411.0ms (5.8%)

simplify137.0ms (1.9%)

localize122.0ms (1.7%)

series165.0ms (2.3%)

simplify136.0ms (1.9%)

rewrite199.0ms (2.8%)

eval390.0ms (5.5%)

prune101.0ms (1.4%)

simplify133.0ms (1.9%)

localize146.0ms (2.1%)

series27.0ms (0.4%)

simplify180.0ms (2.5%)

rewrite207.0ms (2.9%)

eval400.0ms (5.7%)

prune106.0ms (1.5%)

regimes117.0ms (1.7%)

regimes30.0ms (0.4%)

regimes28.0ms (0.4%)

regimes18.0ms (0.3%)

simplify26.0ms (0.4%)

soundness675.0ms (9.5%)

preprocess65.0ms (0.9%)

end0.0ms (0%)

Profiling