Metrics for Trigonometry B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze221.0ms (3.1%)

Memory

-8.7MiB live, 115.1MiB allocated; 92ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.1s (15.9%)

Memory

20.0MiB live, 952.5MiB allocated; 258ms collecting garbage

Samples

766.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-tan: 229.0ms (47.3% of total)

ival-mult: 103.0ms (21.3% of total)

ival-div: 62.0ms (12.8% of total)

ival-sub: 38.0ms (7.8% of total)

ival-add: 36.0ms (7.4% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain156.0ms (2.2%)

Memory

23.6MiB live, 162.1MiB allocated; 7ms collecting garbage

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	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

49.0ms

512×

valid

Compiler

Compiled 95 to 25 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-tan: 15.0ms (47.5% of total)

ival-mult: 5.0ms (15.8% of total)

ival-div: 4.0ms (12.7% of total)

ival-add: 3.0ms (9.5% of total)

ival-sub: 3.0ms (9.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess419.0ms (5.8%)

Memory

-69.3MiB live, 296.2MiB allocated; 92ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	31	30
2	93	30
3	178	30
4	338	30
5	475	30
6	739	30
7	1439	30
8	3172	30
9	5575	30
10	7193	30
0	7	15
0	12	15
1	28	15
2	68	15
3	143	15
4	239	15
5	353	15
6	541	15
7	918	15
8	1915	15
9	3027	15
10	3616	15
11	3920	15
12	4220	15
13	4609	15
14	4970	15
15	7925	15
0	8177	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 (neg.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)))

Symmetry

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

simplify302.0ms (4.2%)

Memory

-18.9MiB live, 260.7MiB allocated; 21ms collecting garbage

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	1	(+.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	28	38
2	68	38
3	143	38
4	239	38
5	353	38
6	541	38
7	918	38
8	1915	38
9	3027	38
10	3616	38
11	3920	38
12	4220	38
13	4609	38
14	4970	38
15	7925	38
0	8177	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 (neg.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)))
(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))

localize56.0ms (0.8%)

Memory

-11.6MiB live, 46.7MiB allocated; 3ms collecting garbage

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	0.09603500976844201	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.15625	(/.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	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

17.0ms

256×

valid

Compiler

Compiled 40 to 9 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-tan: 5.0ms (44.2% of total)

ival-mult: 2.0ms (17.7% of total)

ival-div: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

ival-sub: 1.0ms (8.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

4 → 18

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

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)))

simplify280.0ms (3.9%)

Memory

32.7MiB live, 322.7MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	223
1	184	222
2	633	212
3	2963	208
4	7125	208
0	8026	189

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

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

rewrite181.0ms (2.5%)

Memory

-7.4MiB live, 228.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	34
0	12	29
1	54	29
2	400	29
3	5657	29
0	8165	29

Stop Event

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

Counts

4 → 546

Calls

Call 1

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

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

eval109.0ms (1.5%)

Memory: -3.7MiB live, 141.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 15 365 to 1 207 computations (92.1% saved)

prune42.0ms (0.6%)

Memory

7.5MiB live, 54.7MiB allocated; 1ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	479	22	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	480	22	502

Accuracy

100.0%

Counts

502 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(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)) (*.f64 (neg.f64 (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 -1 binary64))))
	99.4%	(/.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 2 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))))
	99.4%	(/.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))) (+.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) (tan.f64 x))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #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)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.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))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	58.7%	(/.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 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (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)))
	99.4%	(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (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 (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))))
	99.3%	(*.f64 (/.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 4 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
	99.6%	(neg.f64 (/.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))))
	50.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶	50.5%	#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)))

Compiler

Compiled 926 to 502 computations (45.8% saved)

simplify104.0ms (1.4%)

Memory

-7.8MiB live, 135.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	247
0	57	227
1	103	227
2	216	227
3	557	227
4	2650	227
0	8919	227

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.9%)

Memory

-15.6MiB live, 128.1MiB allocated; 10ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.21875	(/.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)))
accuracy	0.2578125	(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	0.3066788086106521	(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64))
accuracy	0.4927103028217028	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.26791000976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	1.7813365241221155	(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy	14.645935759253137	(log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.4927103028217028	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	9.152320677166307	(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	31.650369069466986	#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)))
accuracy	0.09603500976844201	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.26791000976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

73.0ms

256×

valid

Compiler

Compiled 249 to 34 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow2: 8.0ms (18.1% of total)

ival-div: 7.0ms (15.8% of total)

ival-tan: 6.0ms (13.5% of total)

ival-add: 5.0ms (11.3% of total)

ival-pow: 5.0ms (11.3% of total)

ival-mult: 4.0ms (9% of total)

ival-sub: 3.0ms (6.8% of total)

ival-log: 3.0ms (6.8% of total)

ival-sqrt: 2.0ms (4.5% of total)

ival->: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

series77.0ms (1.1%)

Memory

34.4MiB live, 80.2MiB allocated; 4ms collecting garbage

Counts

20 → 47

Calls

Call 1

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

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (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)))))))
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))))))))
(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))))))))
(* 2 (log x))
(+ (* 2/3 (pow x 2)) (* 2 (log x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))
(+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))
(+ 1 (* 2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(- (/ 1 (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)) (/ (pow (sin x) 4) (* (pow (cos x) 4) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))))
(/ 1 (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin x) (cos x))
(/ (pow (sin x) 4) (pow (cos x) 4))
(log (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(/ (pow (sin x) 4) (* (pow (cos x) 4) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
48.0ms	x	@	inf	((* (tan x) (tan x)) (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (sqrt (pow (tan x) 4)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (sqrt (pow (tan x) 4)))) (- 1 (* (tan x) (tan x))) (exp (log (pow (tan x) 2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (exp (log (pow (tan x) 2))))) (- (pow (+ (* (tan x) (tan x)) 1) -2) (/ (pow (tan x) 4) (pow (+ (* (tan x) (tan x)) 1) 2))) (pow (+ (* (tan x) (tan x)) 1) -2) (+ (* (tan x) (tan x)) 1) (tan x) (pow (tan x) 4) (log (pow (tan x) 2)) (pow (+ (* (tan x) (tan x)) 1) 2) (/ (pow (tan x) 4) (pow (+ (* (tan x) (tan x)) 1) 2)))
26.0ms	x	@	-inf	((* (tan x) (tan x)) (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (sqrt (pow (tan x) 4)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (sqrt (pow (tan x) 4)))) (- 1 (* (tan x) (tan x))) (exp (log (pow (tan x) 2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (exp (log (pow (tan x) 2))))) (- (pow (+ (* (tan x) (tan x)) 1) -2) (/ (pow (tan x) 4) (pow (+ (* (tan x) (tan x)) 1) 2))) (pow (+ (* (tan x) (tan x)) 1) -2) (+ (* (tan x) (tan x)) 1) (tan x) (pow (tan x) 4) (log (pow (tan x) 2)) (pow (+ (* (tan x) (tan x)) 1) 2) (/ (pow (tan x) 4) (pow (+ (* (tan x) (tan x)) 1) 2)))
2.0ms	x	@	0	((* (tan x) (tan x)) (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (sqrt (pow (tan x) 4)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (sqrt (pow (tan x) 4)))) (- 1 (* (tan x) (tan x))) (exp (log (pow (tan x) 2))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (exp (log (pow (tan x) 2))))) (- (pow (+ (* (tan x) (tan x)) 1) -2) (/ (pow (tan x) 4) (pow (+ (* (tan x) (tan x)) 1) 2))) (pow (+ (* (tan x) (tan x)) 1) -2) (+ (* (tan x) (tan x)) 1) (tan x) (pow (tan x) 4) (log (pow (tan x) 2)) (pow (+ (* (tan x) (tan x)) 1) 2) (/ (pow (tan x) 4) (pow (+ (* (tan x) (tan x)) 1) 2)))

Time

Variable

Point

Expression

48.0ms

inf

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

26.0ms

-inf

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

2.0ms

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

simplify132.0ms (1.8%)

Memory

-26.5MiB live, 116.7MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	627
1	567	626
2	2022	610
3	6295	610
0	8022	561

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

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 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (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)))))))
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))))))))
(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))))))))
(* 2 (log x))
(+ (* 2/3 (pow x 2)) (* 2 (log x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))
(+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))
(+ 1 (* 2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(- (/ 1 (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)) (/ (pow (sin x) 4) (* (pow (cos x) 4) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))))
(/ 1 (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin x) (cos x))
(/ (pow (sin x) 4) (pow (cos x) 4))
(log (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(/ (pow (sin x) 4) (* (pow (cos x) 4) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))

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 (-.f64 (.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 (.f64 #s(literal 2/3 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.f64 #s(literal -17/45 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (.f64 #s(literal 5/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/3 (* -34/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (.f64 #s(literal 5/3 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -34/45 binary64)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (fma.f64 x x #s(literal 1 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 4/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 6/5 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 848/945 binary64) (.f64 x x) #s(literal 6/5 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 2 (log x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* 2/3 (pow x 2)) (* 2 (log x)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))
(fma.f64 #s(literal 7/45 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))
(+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 124/2835 binary64) (.f64 x x) #s(literal 7/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x (.f64 (log.f64 x) #s(literal 2 binary64)))
(+ 1 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 7/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 94/45 binary64) (.f64 x x) #s(literal 7/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -2/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(.f64 (fma.f64 (fma.f64 #s(literal -34/945 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 2/3 binary64))) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(- (/ 1 (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)) (/ (pow (sin x) 4) (* (pow (cos x) 4) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))))
(-.f64 (/.f64 #s(literal 1 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 (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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/.f64 #s(literal 1 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) 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))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(log (/ (pow (sin x) 2) (pow (cos x) 2)))
(log.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(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))
(/ (pow (sin x) 4) (* (pow (cos x) 4) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)))
(/.f64 (/.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)))

rewrite311.0ms (4.3%)

Memory

41.2MiB live, 317.1MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	177
0	57	155
1	210	155
2	1220	155
0	8738	155

Stop Event

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

Counts

20 → 2 600

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (tan.f64 x)))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x)))) (tan.f64 x))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (tan.f64 x)))) (exp.f64 (log.f64 (neg.f64 (tan.f64 x)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (tan.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (tan.f64 x))) (neg.f64 (neg.f64 (tan.f64 x))))
(.f64 (neg.f64 (tan.f64 x)) (.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.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 (tan.f64 x) (fabs.f64 (.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64))))
(.f64 (tan.f64 x) (pow.f64 (.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (*.f64 (sin.f64 x) (tan.f64 x))) (fabs.f64 (cos.f64 x)))
(/.f64 (fabs.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (fabs.f64 (cos.f64 x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (fabs.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 #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) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (tan.f64 x))) (cosh.f64 (log.f64 (tan.f64 x)))) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(-.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (.f64 (sinh.f64 (log.f64 (tan.f64 x))) (cosh.f64 (log.f64 (tan.f64 x))))))
(fabs.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (tan.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
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(*.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fabs.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (/.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)) (-.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)) (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fabs.f64 (/.f64 (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (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))))
(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 (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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 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 (fabs.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (fabs.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (fabs.f64 (neg.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)) (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 (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.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 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (neg.f64 (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)))
(neg.f64 (/.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))))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fabs.f64 (/.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))))
(exp.f64 (fma.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64) (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
(+.f64 (/.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.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 2 binary64)) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 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 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (cosh.f64 (log.f64 (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sinh.f64 (log.f64 (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 (cosh.f64 (log.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 (sinh.f64 (log.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 (cosh.f64 (fma.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64) (.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))) (sinh.f64 (fma.f64 (log.f64 (tan.f64 x)) #s(literal 4 binary64) (.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))))

eval382.0ms (5.3%)

Memory: 2.6MiB live, 421.8MiB allocated; 73ms collecting garbage
Compiler: Compiled 63 882 to 5 943 computations (90.7% saved)

prune70.0ms (1%)

Memory

-9.9MiB live, 186.8MiB allocated; 15ms collecting garbage

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	2 087	25	2 112
Fresh	6	11	17
Picked	4	1	5
Done	0	0	0
Total	2 097	37	2 134

Accuracy

100.0%

Counts

2 134 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(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)) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.4%	(fma.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (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))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
	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))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 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)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
	21.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) #s(literal 4 binary64)))))
	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
▶	58.7%	(/.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 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
	99.4%	(-.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)))
	99.4%	(-.f64 (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)) (fma.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) (pow.f64 (tan.f64 x) #s(literal 4 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 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.3%	(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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))))
	99.5%	(-.f64 (exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
	99.4%	(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.3%	(*.f64 (/.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 4 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
	99.6%	(neg.f64 (/.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))))
	50.4%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶	54.2%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
✓	50.5%	#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)))
	50.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
	50.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
	50.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
	49.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 x x)) #s(literal -2 binary64)))))))
	50.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
	2.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))))

Compiler

Compiled 1 592 to 900 computations (43.5% saved)

simplify111.0ms (1.5%)

Memory

18.7MiB live, 154.1MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	224
0	54	212
1	100	212
2	191	212
3	469	212
4	1410	212
5	7727	212
0	8013	212

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.3%)

Memory

-1.3MiB live, 139.4MiB allocated; 15ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.19759750976844204	(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.26791000976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.4927103028217028	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy	0.10546875	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.26791000976844204	(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.09603500976844201	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	26.30213651429886	#s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))
accuracy	29.33005751101791	#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
accuracy	0.03515625	(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.09603500976844201	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.15625	(/.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))))
accuracy	0.26791000976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Samples

77.0ms

256×

valid

Compiler

Compiled 220 to 27 computations (87.7% saved)

Precisions

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

ival-cos: 16.0ms (28.9% of total)

ival-div: 12.0ms (21.7% of total)

ival-tan: 6.0ms (10.8% of total)

ival-sin: 5.0ms (9% of total)

ival-sub: 5.0ms (9% of total)

ival-pow2: 5.0ms (9% of total)

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

ival-add: 2.0ms (3.6% of total)

ival-mult: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-27.5MiB live, 17.9MiB allocated; 4ms collecting garbage

Counts

17 → 30

Calls

Call 1

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

Outputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 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 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (- 1 (/ (pow (sin 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))
(/ (sin x) (cos x))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

-inf

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

1.0ms

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

simplify160.0ms (2.2%)

Memory

6.8MiB live, 204.0MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	395
1	361	394
2	1278	378
3	3936	374
4	7952	374
0	8012	343

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

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 (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 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (- 1 (/ (pow (sin 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))
(/ (sin x) (cos x))
(/ (* (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (- (/ (pow (sin x) 4) (pow (cos x) 4)) 1) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))

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

rewrite270.0ms (3.7%)

Memory

-10.4MiB live, 324.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	161
0	54	127
1	184	127
2	958	79
0	9677	79

Stop Event

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

Counts

17 → 1 798

Calls

Call 1

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

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

eval149.0ms (2.1%)

Memory: 29.1MiB live, 212.3MiB allocated; 21ms collecting garbage
Compiler: Compiled 30 167 to 2 856 computations (90.5% saved)

prune75.0ms (1%)

Memory

-22.5MiB live, 85.9MiB allocated; 19ms collecting garbage

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	984	15	999
Fresh	6	25	31
Picked	1	4	5
Done	0	1	1
Total	991	45	1 036

Accuracy

100.0%

Counts

1 036 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(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)) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.4%	(fma.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	77.8%	(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	58.7%	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))))
	99.6%	(/.f64 (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))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
	21.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) #s(literal 2 binary64))))
✓	99.6%	(/.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))))
	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
▶	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (PI.f64) x)) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #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)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (/ (- (pow (tan x) 4) 1) (- (pow (tan x) 2) 1)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))))
✓	58.7%	(/.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))))
	99.5%	(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
	99.4%	(-.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)))
	99.3%	(-.f64 (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 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.3%	(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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))))
	99.5%	(-.f64 (exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
▶	99.4%	(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.3%	(*.f64 (/.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 4 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
	50.4%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (pow (tan x) 2))) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓	54.2%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
✓	50.5%	#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)))
	50.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
	50.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
	50.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
	49.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 x x)) #s(literal -2 binary64)))))))
	50.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
▶	2.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))))

Compiler

Compiled 1 853 to 1 107 computations (40.3% saved)

simplify109.0ms (1.5%)

Memory

41.6MiB live, 126.9MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff	6	(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 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 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	1	(*.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 x))
cost-diff	2	(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))))
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	1	(*.f64 (tan.f64 x) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	291
0	76	256
1	143	251
2	300	249
3	715	249
4	1841	249
0	8536	245

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

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

localize436.0ms (6%)

Memory

-40.2MiB live, 436.8MiB allocated; 37ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12337875976844202	(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy	0.18300634768442017	(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
accuracy	0.26791000976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.3193550293053261	(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
accuracy	0.10546875	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
accuracy	0.26791000976844204	(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))
accuracy	0.26791000976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
accuracy	0.26791000976844204	(*.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 x))
accuracy	26.30213651429886	#s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))
accuracy	30.816927735678146	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal -2 binary64) (.f64 x x))
accuracy	30.97553532191348	#s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x)))
accuracy	31.650369069466986	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))))
accuracy	0.09603500976844201	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.1328125	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.15625	(/.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	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

195.0ms	200×	1	valid
190.0ms	51×	2	valid
11.0ms	5×	0	valid

Compiler

Compiled 279 to 39 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-tan: 190.0ms (52.5% of total)

adjust: 58.0ms (16% of total)

ival-add: 27.0ms (7.5% of total)

ival-div: 17.0ms (4.7% of total)

ival-sin: 15.0ms (4.1% of total)

ival-mult: 12.0ms (3.3% of total)

ival-cos: 10.0ms (2.8% of total)

ival-sub: 9.0ms (2.5% of total)

ival-pow2: 9.0ms (2.5% of total)

ival-log1p: 6.0ms (1.7% of total)

ival-exp: 4.0ms (1.1% of total)

ival-pi: 2.0ms (0.6% of total)

ival-neg: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series75.0ms (1%)

Memory

14.3MiB live, 58.6MiB allocated; 5ms collecting garbage

Counts

23 → 59

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

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -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))))))))
(* -2 (pow x 2))
(/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(+ (PI) (* 2 (PI)))
(+ x (+ (PI) (* 2 (PI))))
(/ (* x (sin (+ (PI) (* 2 (PI))))) (cos (+ (PI) (* 2 (PI)))))
(* x (+ (* x (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(* x (+ (* x (- (+ 1 (* x (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(* x (+ (* x (- (+ 1 (* x (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (+ (* x (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (* 1/3 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(* 2 (PI))
(+ x (* 2 (PI)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(+ 1 (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 (/ (* x (sin (+ (PI) (* 2 (PI))))) (cos (+ (PI) (* 2 (PI)))))))
(+ 1 (* x (+ (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (* x (- (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))) 2)))))
(+ 1 (* x (+ (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (* x (- (+ (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (* x (- (* -1 (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))) (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))))) 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)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (- 1 (/ (pow (sin 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))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ (PI) x))))
(/ (* (sin x) (sin (+ x (+ (PI) (* 2 (PI)))))) (* (cos x) (cos (+ x (+ (PI) (* 2 (PI)))))))
(* x (+ 1 (* 2 (/ (PI) x))))
(+ (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (- 1 (/ (* (sin x) (sin (+ x (+ (PI) (* 2 (PI)))))) (* (cos x) (cos (+ x (+ (PI) (* 2 (PI)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/ (sin (- (+ (PI) (* 2 (PI))) (* -1 x))) (cos (- (+ (PI) (* 2 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))
(/ (* (sin x) (sin (- (+ (PI) (* 2 (PI))) (* -1 x)))) (* (cos x) (cos (- (+ (PI) (* 2 (PI))) (* -1 x)))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(/ (- 1 (/ (* (sin x) (sin (- (+ (PI) (* 2 (PI))) (* -1 x)))) (* (cos x) (cos (- (+ (PI) (* 2 (PI))) (* -1 x)))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

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

22.0ms

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

5.0ms

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

simplify135.0ms (1.9%)

Memory

28.7MiB live, 118.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	1252
1	751	1212
2	2732	1143
0	8427	1075

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

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 (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))))))))
(* -2 (pow x 2))
(/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(+ (PI) (* 2 (PI)))
(+ x (+ (PI) (* 2 (PI))))
(/ (* x (sin (+ (PI) (* 2 (PI))))) (cos (+ (PI) (* 2 (PI)))))
(* x (+ (* x (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(* x (+ (* x (- (+ 1 (* x (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(* x (+ (* x (- (+ 1 (* x (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (+ (* x (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (* 1/3 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(* 2 (PI))
(+ x (* 2 (PI)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(+ 1 (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 (/ (* x (sin (+ (PI) (* 2 (PI))))) (cos (+ (PI) (* 2 (PI)))))))
(+ 1 (* x (+ (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (* x (- (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))) 2)))))
(+ 1 (* x (+ (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (* x (- (+ (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (* x (- (* -1 (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))) (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))))) 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)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (- 1 (/ (pow (sin 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))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ (PI) x))))
(/ (* (sin x) (sin (+ x (+ (PI) (* 2 (PI)))))) (* (cos x) (cos (+ x (+ (PI) (* 2 (PI)))))))
(* x (+ 1 (* 2 (/ (PI) x))))
(+ (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (- 1 (/ (* (sin x) (sin (+ x (+ (PI) (* 2 (PI)))))) (* (cos x) (cos (+ x (+ (PI) (* 2 (PI)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/ (sin (- (+ (PI) (* 2 (PI))) (* -1 x))) (cos (- (+ (PI) (* 2 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))
(/ (* (sin x) (sin (- (+ (PI) (* 2 (PI))) (* -1 x)))) (* (cos x) (cos (- (+ (PI) (* 2 (PI))) (* -1 x)))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(/ (- 1 (/ (* (sin x) (sin (- (+ (PI) (* 2 (PI))) (* -1 x)))) (* (cos x) (cos (- (+ (PI) (* 2 (PI))) (* -1 x)))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))

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 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.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)
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))
(/.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) x x) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -3 binary64) (PI.f64)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) x x) (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64)))) x x) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -3 binary64) (PI.f64)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 (PI.f64))) (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x (.f64 (neg.f64 (sin.f64 (PI.f64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (PI.f64)))))) x (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64)))) x x) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64)))))
(+ (PI) (* 2 (PI)))
(*.f64 #s(literal 3 binary64) (PI.f64))
(+ x (+ (PI) (* 2 (PI))))
(fma.f64 #s(literal 3 binary64) (PI.f64) x)
(/ (* x (sin (+ (PI) (* 2 (PI))))) (cos (+ (PI) (* 2 (PI)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) x) (cos.f64 (*.f64 #s(literal -3 binary64) (PI.f64))))
(* x (+ (* x (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) x x) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))))) x)
(* x (+ (* x (- (+ 1 (* x (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64)))) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64))) x (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64)))) x x) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -3 binary64) (PI.f64))))) x)
(* x (+ (* x (- (+ 1 (* x (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (+ (* x (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (* 1/3 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))))
(.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64)))) #s(literal 1/3 binary64) (fma.f64 (-.f64 #s(literal -1/6 binary64) (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 (PI.f64))) (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64)))))))) x (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64)))) x x) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -3 binary64) (PI.f64))))) x)
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+ x (* 2 (PI)))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/315 binary64) (.f64 x x)) #s(literal 2/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (* x (sin (+ (PI) (* 2 (PI))))) (cos (+ (PI) (* 2 (PI)))))))
(fma.f64 (neg.f64 (sin.f64 (PI.f64))) (/.f64 x (cos.f64 (*.f64 #s(literal -3 binary64) (PI.f64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (* x (- (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))) 2)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 2 binary64)) x (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (*.f64 #s(literal -3 binary64) (PI.f64))))) x #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (* x (- (+ (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (* x (- (* -1 (+ (* 1/3 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI)))))) (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI))))))) (* -1 (/ (sin (+ (PI) (* 2 (PI)))) (cos (+ (PI) (* 2 (PI))))))))) 2)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (cos.f64 (PI.f64)))) (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))))) x (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 2 binary64))) x (/.f64 (neg.f64 (sin.f64 (PI.f64))) (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))))) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)) (.f64 x 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)))
(/ (- 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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI))))))
(/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ (PI) x))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) x) #s(literal 1 binary64)) x)
(/ (* (sin x) (sin (+ x (+ (PI) (* 2 (PI)))))) (* (cos x) (cos (+ x (+ (PI) (* 2 (PI)))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x))) (/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)) (cos.f64 x)))
(* x (+ 1 (* 2 (/ (PI) x))))
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(+ (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/ (- 1 (/ (* (sin x) (sin (+ x (+ (PI) (* 2 (PI)))))) (* (cos x) (cos (+ x (+ (PI) (* 2 (PI)))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x))) (/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)) (cos.f64 x)))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/ (sin (- (+ (PI) (* 2 (PI))) (* -1 x))) (cos (- (+ (PI) (* 2 (PI))) (* -1 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))
(/ (* (sin x) (sin (- (+ (PI) (* 2 (PI))) (* -1 x)))) (* (cos x) (cos (- (+ (PI) (* 2 (PI))) (* -1 x)))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x))) (/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)) (cos.f64 x)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/ (- 1 (/ (* (sin x) (sin (- (+ (PI) (* 2 (PI))) (* -1 x)))) (* (cos x) (cos (- (+ (PI) (* 2 (PI))) (* -1 x)))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x))) (/.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) x)) (cos.f64 x)))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))

rewrite194.0ms (2.7%)

Memory

9.2MiB live, 196.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	222
0	76	185
1	306	180
2	2175	180
0	8977	176

Stop Event

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

Counts

23 → 1 050

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

Outputs
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x)))) (tan.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (tan.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))
(.f64 (neg.f64 (tan.f64 x)) (.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (tan.f64 x) (fabs.f64 (.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64))))
(.f64 (tan.f64 x) (pow.f64 (.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x))) (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (tan.f64 x))) (fabs.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x))))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x))) (fabs.f64 (cos.f64 x)))
(/.f64 (fabs.f64 (*.f64 (sin.f64 x) (tan.f64 x))) (fabs.f64 (cos.f64 x)))
(/.f64 (fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))) (fabs.f64 (cos.f64 x)))
(/.f64 (fabs.f64 (*.f64 (tan.f64 x) (sin.f64 x))) (fabs.f64 (cos.f64 x)))
(/.f64 (fabs.f64 (.f64 (tan.f64 x) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))) (fabs.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x))))))
(/.f64 (fabs.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (fabs.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(/.f64 (fabs.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (fabs.f64 (.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)))) (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (sin.f64 x))) (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (cos.f64 x))))
(/.f64 (fabs.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (sin.f64 x)))) (fabs.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x)))))
(/.f64 (fabs.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sin.f64 x))) (fabs.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (cos.f64 x))))
(/.f64 (fabs.f64 (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (fabs.f64 (.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))))
(/.f64 (fabs.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))) (fabs.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))))
(/.f64 (fabs.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (fabs.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))))
(/.f64 (fabs.f64 (.f64 (sin.f64 x) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))) (fabs.f64 (.f64 (cos.f64 x) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))))
(/.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (tan.f64 x)) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (.f64 (tan.f64 x) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sin.f64 x)) (.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x))))))
(/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) (.f64 (cos.f64 x) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x))))))
(neg.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (tan.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
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(+.f64 (cosh.f64 (log.f64 (tan.f64 x))) (sinh.f64 (log.f64 (tan.f64 x))))
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))
(*.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 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #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))))
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (neg.f64 (log1p.f64 (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)))
(-.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (sinh.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (cosh.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))

eval227.0ms (3.1%)

Memory: -1.1MiB live, 320.4MiB allocated; 44ms collecting garbage
Compiler: Compiled 37 416 to 4 425 computations (88.2% saved)

prune94.0ms (1.3%)

Memory

0.8MiB live, 153.9MiB allocated; 40ms collecting garbage

Pruning

56 alts after pruning (49 fresh and 7 done)

	Pruned	Kept	Total
New	1 179	23	1 202
Fresh	9	26	35
Picked	1	4	5
Done	2	3	5
Total	1 191	56	1 247

Accuracy

100.0%

Counts

1 247 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(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)) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.4%	(fma.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	77.8%	(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.6%	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	58.7%	(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))))
	99.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
	21.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) #s(literal 2 binary64))))
✓	99.6%	(/.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))))
	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	97.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))))) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	57.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	52.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))))) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
✓	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (PI.f64) x)) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
	58.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (fma.f64 #s(literal 3 binary64) (PI.f64) x))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	98.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))))) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.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 (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 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (/ (- (pow (tan x) 4) 1) (- (pow (tan x) 2) 1)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))))
	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))))
	99.5%	(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(-.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)))
	99.3%	(-.f64 (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 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	99.4%	(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓	99.4%	(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	50.4%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (pow (tan x) 2))) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓	54.2%	#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
✓	50.5%	#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)))
	50.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
	49.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 x x)) #s(literal -2 binary64)))))))
	50.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
✓	2.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))))
	2.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))
	2.7%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))))

Compiler

Compiled 3 390 to 1 180 computations (65.2% saved)

regimes95.0ms (1.3%)

Memory

-11.5MiB live, 148.2MiB allocated; 28ms collecting garbage

Counts

86 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (.f64 x x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (tan x) 2)) (+ 1 (pow (tan x) 2))) (fma.f64 (-.f64 (.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 x x)) #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.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))) #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 (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (PI.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 #s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (fma.f64 #s(literal 3 binary64) (PI.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 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (PI.f64))) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan 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))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))))) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64)) (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (PI.f64))))) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan 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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (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) (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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 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) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.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 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 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))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (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 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #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)))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.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 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))))) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))))) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(-.f64 (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 (-.f64 #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)) (/.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 (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 (/.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 (exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (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)))
(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)) (*.f64 (neg.f64 (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 -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (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 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(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)) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
(/.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 2 binary64)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (/ (- (pow (tan x) 4) 1) (- (pow (tan x) 2) 1)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)))))
(-.f64 (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)) (fma.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) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))

Outputs
(/.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))))

Calls

4 calls:

26.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
24.0ms	x
22.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
20.0ms	(tan.f64 x)

Results

Accuracy	Segments	Branch
99.6%	1	`(tan.f64 x)`
99.6%	1	`(*.f64 (tan.f64 x) (tan.f64 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	`x`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes35.0ms (0.5%)

Memory

-22.9MiB live, 69.5MiB allocated; 5ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Calls

4 calls:

9.0ms	x
9.0ms	(tan.f64 x)
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
58.7%	1	`(tan.f64 x)`
58.7%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
58.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
58.7%	1	`x`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes16.0ms (0.2%)

Memory

-8.5MiB live, 37.8MiB allocated; 2ms collecting garbage

Accuracy

Total -33.7b remaining (-114.9%)

Threshold costs -33.7b (-114.9%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify59.0ms (0.8%)

Memory

9.8MiB live, 61.9MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	36	43
2	77	43
3	152	43
4	248	43
5	357	43
6	569	43
7	1033	43
8	2174	43
9	3520	43
10	6452	43

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

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

derivations712.0ms (9.9%)

Memory

27.0MiB live, 644.0MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	223
1	184	222
2	633	212
3	2963	208
4	7125	208
0	8026	189
0	7	34
0	12	29
1	54	29
2	400	29
3	5657	29
0	8165	29
0	32	161
0	54	127
1	184	127
2	958	79
0	9677	79
0	33	177
0	57	155
1	210	155
2	1220	155
0	8738	155
0	45	222
0	76	185
1	306	180
2	2175	180
0	8977	176
0	169	627
1	567	626
2	2022	610
3	6295	610
0	8022	561

Stop Event

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

Compiler

Compiled 45 to 19 computations (57.8% saved)

preprocess25.0ms (0.4%)

Memory: 10.0MiB live, 52.2MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 146 to 68 computations (53.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze221.0ms (3.1%)

sample1.1s (15.9%)

explain156.0ms (2.2%)

preprocess419.0ms (5.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify302.0ms (4.2%)

localize56.0ms (0.8%)

series5.0ms (0.1%)

simplify280.0ms (3.9%)

rewrite181.0ms (2.5%)

eval109.0ms (1.5%)

prune42.0ms (0.6%)

simplify104.0ms (1.4%)

localize134.0ms (1.9%)

series77.0ms (1.1%)

simplify132.0ms (1.8%)

rewrite311.0ms (4.3%)

eval382.0ms (5.3%)

prune70.0ms (1%)

simplify111.0ms (1.5%)

localize96.0ms (1.3%)

series12.0ms (0.2%)

simplify160.0ms (2.2%)

rewrite270.0ms (3.7%)

eval149.0ms (2.1%)

prune75.0ms (1%)

simplify109.0ms (1.5%)

localize436.0ms (6%)

series75.0ms (1%)

simplify135.0ms (1.9%)

rewrite194.0ms (2.7%)

eval227.0ms (3.1%)

prune94.0ms (1.3%)

regimes95.0ms (1.3%)

regimes35.0ms (0.5%)

regimes16.0ms (0.2%)

simplify59.0ms (0.8%)

derivations712.0ms (9.9%)

preprocess25.0ms (0.4%)

end0.0ms (0%)

Profiling