Metrics for Trigonometry B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze131.0ms (1.9%)

Memory

4.1MiB live, 170.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.1s (15.3%)

Memory

16.0MiB live, 716.6MiB allocated

Samples

707.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

ival-tan: 270.0ms (50.6% of total)

ival-mult: 101.0ms (18.9% of total)

ival-div: 67.0ms (12.6% of total)

ival-sub: 44.0ms (8.2% of total)

ival-add: 38.0ms (7.1% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain155.0ms (2.2%)

Memory

11.3MiB live, 126.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	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

91.0ms

512×

valid

Compiler

Compiled 133 to 32 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 31.0ms (39.9% of total)

ival-sub: 28.0ms (36.1% of total)

ival-tan: 11.0ms (14.2% of total)

ival-mult: 4.0ms (5.2% of total)

ival-add: 2.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess349.0ms (5%)

Memory

-9.3MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	31	30
2	64	30
3	165	30
4	385	30
5	719	30
6	1334	30
7	1828	30
8	3081	30
9	4435	30
10	5403	30
11	6636	30
12	7498	30
13	7970	30
0	7	15
0	12	15
1	23	15
2	34	15
3	53	15
4	92	15
5	155	15
6	256	15
7	552	15
8	1217	15
9	3005	15
10	4341	15
11	5410	15
12	6163	15
13	6518	15
14	6650	15
15	6711	15
16	7577	15
0	8171	14

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify208.0ms (3%)

Memory

9.4MiB live, 162.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	38
0	12	38
1	23	38
2	34	38
3	53	38
4	92	38
5	155	38
6	256	38
7	552	38
8	1217	38
9	3005	38
10	4341	38
11	5410	38
12	6163	38
13	6518	38
14	6650	38
15	6711	38
16	7577	38
0	8171	36

Stop Event

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

Calls

Call 1

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

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

localize330.0ms (4.7%)

Memory

-146.7MiB live, 55.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.1308975586106521	(-.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

324.0ms

256×

valid

Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions

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

ival-tan: 6.0ms (48.5% of total)

ival-mult: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

ival-div: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

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)))

simplify157.0ms (2.2%)

Memory

-23.0MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	223
1	151	222
2	409	208
3	1146	208
4	2133	208
5	3914	208
6	5292	208
0	8026	187

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

rewrite129.0ms (1.8%)

Memory

39.7MiB live, 196.2MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	34
0	12	29
1	51	29
2	359	29
3	5074	17
0	10321	17

Stop Event

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

Counts

4 → 373

Calls

Call 1

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

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

eval35.0ms (0.5%)

Memory: 0.1MiB live, 75.5MiB allocated
Compiler: Compiled 7 579 to 864 computations (88.6% saved)

prune25.0ms (0.4%)

Memory

-30.8MiB live, 52.2MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	254	25	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	25	280

Accuracy

99.8%

Counts

280 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.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))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x))))) (+.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)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.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)) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 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)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.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))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
	61.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
	99.4%	(/.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))))
	53.6%	#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)))
	99.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.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))))))
▶	57.3%	#s(literal 1 binary64)

Compiler

Compiled 972 to 584 computations (39.9% saved)

simplify146.0ms (2.1%)

Memory

37.5MiB live, 113.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x)))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x))))
cost-diff	0	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(tan.f64 x)
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	232
0	49	226
1	84	226
2	145	220
3	352	220
4	894	220
5	2176	220
6	3536	220
7	4644	220
8	6702	220
0	8062	220

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

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

localize139.0ms (2%)

Memory

-31.8MiB live, 286.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.203125	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.2109375	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.2421875	(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x)))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.42450345439249476	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x))))
accuracy	0.1308975586106521	(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.3887100586106521	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	0.12337875976844201	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.1308975586106521	(-.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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

68.0ms

256×

valid

Compiler

Compiled 468 to 56 computations (88% saved)

Precisions

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

ival-div: 10.0ms (19.4% of total)

ival-pow2: 8.0ms (15.5% of total)

ival-tan: 6.0ms (11.6% of total)

ival-pow: 6.0ms (11.6% of total)

ival-sin: 5.0ms (9.7% of total)

ival-sub: 5.0ms (9.7% of total)

ival-cos: 5.0ms (9.7% of total)

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

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

exact: 1.0ms (1.9% of total)

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

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

series11.0ms (0.2%)

Memory

32.6MiB live, 32.6MiB allocated

Counts

18 → 35

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (/ 1 (/ (cos x) (* (sin x) (tan x)))) (/ (- 1 (/ 1 (/ (cos x) (* (sin x) (tan x))))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ 1 (/ (cos x) (* (sin x) (tan x))))) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (* (tan x) (tan x)) 1) (/ (cos x) (* (sin x) (tan x))) (pow (sin x) 2) (pow (cos x) 2))
4.0ms	x	@	inf	((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (/ 1 (/ (cos x) (* (sin x) (tan x)))) (/ (- 1 (/ 1 (/ (cos x) (* (sin x) (tan x))))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ 1 (/ (cos x) (* (sin x) (tan x))))) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (* (tan x) (tan x)) 1) (/ (cos x) (* (sin x) (tan x))) (pow (sin x) 2) (pow (cos x) 2))
2.0ms	x	@	0	((/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (/ 1 (/ (cos x) (* (sin x) (tan x)))) (/ (- 1 (/ 1 (/ (cos x) (* (sin x) (tan x))))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ 1 (/ (cos x) (* (sin x) (tan x))))) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (* (tan x) (tan x)))) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (* (tan x) (tan x)) 1) (/ (cos x) (* (sin x) (tan x))) (pow (sin x) 2) (pow (cos x) 2))

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

simplify183.0ms (2.6%)

Memory

10.4MiB live, 237.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	430
1	323	429
2	893	399
3	2872	399
4	5023	399
5	6045	399
0	8241	357

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

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)))))))
(/ 1 (pow x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(/ (- 1 (/ (pow (sin 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 (cos x) 2) (pow (sin x) 2))
(pow (sin x) 2)
(pow (cos x) 2)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal -1 binary64)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(neg.f64 (fma.f64 (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))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x #s(literal -1 binary64)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal -1 binary64)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (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)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))

rewrite199.0ms (2.8%)

Memory

-27.0MiB live, 247.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	168
0	49	122
1	199	120
2	1435	118
0	8607	118

Stop Event

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

Counts

18 → 1 411

Calls

Call 1

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

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

eval197.0ms (2.8%)

Memory: 24.5MiB live, 330.0MiB allocated
Compiler: Compiled 36 472 to 3 429 computations (90.6% saved)

prune86.0ms (1.2%)

Memory

-2.0MiB live, 165.7MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 391	31	1 422
Fresh	15	5	20
Picked	4	1	5
Done	0	0	0
Total	1 410	37	1 447

Accuracy

100.0%

Counts

1 447 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.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))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.2%	(fma.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.3%	(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	76.9%	(/.f64 (fma.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.3%	(/.f64 (fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 (tan.f64 x) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x))))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
	57.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos x) (* (sin x) (tan x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 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)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
	61.3%	(/.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.5%	(-.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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.5%	(*.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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 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))) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
▶	53.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
	99.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
✓	57.3%	#s(literal 1 binary64)

Compiler

Compiled 1 501 to 924 computations (38.4% saved)

simplify231.0ms (3.3%)

Memory

27.8MiB live, 175.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	576	(/.f64 (sin.f64 x) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 (tan.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	33	234
0	60	234
1	95	234
2	136	234
3	191	234
4	289	234
5	467	234
6	810	234
7	1486	234
8	2597	234
9	3929	234
10	5107	234
11	6006	234
12	6532	232
13	6938	231
14	7178	231
15	7778	231
0	8003	231

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.6%)

Memory

-22.9MiB live, 167.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 (fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.1953125	(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))
accuracy	0.2037251218519596	(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
accuracy	0.21160126953688402	(pow.f64 (cos.f64 x) #s(literal -2 binary64))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
accuracy	0.197597509768442	(pow.f64 (tan.f64 x) #s(literal -2 binary64))
accuracy	0.3887100586106521	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	0.42450345439249476	(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
accuracy	0.1308975586106521	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.197597509768442	(pow.f64 (tan.f64 x) #s(literal -2 binary64))
accuracy	0.42450345439249476	(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	29.708637353800132	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(tan.f64 x)
accuracy	0.12337875976844201	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.15625	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.2544176215531312	(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))

Samples

84.0ms

256×

valid

Compiler

Compiled 476 to 69 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-pow: 12.0ms (18.5% of total)

ival-div: 10.0ms (15.4% of total)

ival-sin: 10.0ms (15.4% of total)

ival-mult: 9.0ms (13.9% of total)

ival-tan: 8.0ms (12.3% of total)

ival-add: 6.0ms (9.3% of total)

ival-cos: 5.0ms (7.7% of total)

ival-sub: 4.0ms (6.2% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

22 → 55

Calls

Call 1

Inputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(tan.f64 x)
(neg.f64 (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (sin.f64 x) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
(sin.f64 x)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cos.f64 x) #s(literal -2 binary64))
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 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)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(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 x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(+ 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 (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin x) (cos x))
(* -1 (/ (sin x) (cos x)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (cos x) (sin x))
(* -1 (sin x))
(sin x)
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ 1 (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

-inf

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

5.0ms

inf

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

2.0ms

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

simplify157.0ms (2.2%)

Memory

-15.3MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	644
1	492	643
2	1298	615
3	2533	615
4	4499	614
5	5282	610
6	7189	610
0	8006	545

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

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)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(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 x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(+ 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 (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin x) (cos x))
(* -1 (/ (sin x) (cos x)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (cos x) (sin x))
(* -1 (sin x))
(sin x)
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ 1 (pow (cos x) 2))
(/ (sin x) (pow (cos x) 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(neg.f64 (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) #s(literal -1 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/3 (pow x 2)) 1))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) x)
(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 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (- (* 1/6 (pow x 2)) 1))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 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 (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 (+ 1 (* 5/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 61/120 binary64) (*.f64 x x) #s(literal 5/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) x)
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+ 1 (* -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))
(* -1 (/ (sin x) (cos x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (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)))))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(sin x)
(sin.f64 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 (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (sin x) (pow (cos x) 2))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))

rewrite184.0ms (2.6%)

Memory

8.4MiB live, 291.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	180
0	60	149
1	223	148
2	1343	148
0	9756	148

Stop Event

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

Counts

22 → 1 493

Calls

Call 1

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

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

eval129.0ms (1.8%)

Memory: 14.6MiB live, 285.7MiB allocated
Compiler: Compiled 24 890 to 2 816 computations (88.7% saved)

prune66.0ms (0.9%)

Memory

-8.7MiB live, 154.8MiB allocated

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1 007	19	1 026
Fresh	8	23	31
Picked	2	3	5
Done	0	1	1
Total	1 017	46	1 063

Accuracy

100.0%

Counts

1 063 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.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))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.2%	(fma.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.3%	(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	76.9%	(/.f64 (fma.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (sin.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	54.4%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
	53.9%	(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 (tan.f64 x) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))))
	61.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))))
	61.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))))
	58.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #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)))
▶	99.6%	(/.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)))
▶	58.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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)))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x))))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
	57.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 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)))))
▶	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	61.3%	(/.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.5%	(-.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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.4%	(*.f64 (/.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 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))) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
✓	53.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
	53.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
	53.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
	99.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	52.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (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)))))
	53.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
▶	2.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
✓	57.3%	#s(literal 1 binary64)

Compiler

Compiled 1 988 to 1 198 computations (39.7% saved)

simplify212.0ms (3%)

Memory

7.4MiB live, 203.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
cost-diff	256	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	13312	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff	0	(pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	307
0	74	297
1	118	297
2	176	297
3	288	297
4	497	297
5	706	297
6	988	297
7	1749	297
8	3005	297
9	4174	297
10	5436	297
11	6527	297
12	7125	297
13	7413	297
14	7614	297
0	8051	295

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
(.f64 (.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))
#s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(literal -2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
(tan.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(tan.f64 x)
x
#s(literal -1 binary64)
#s(literal -2 binary64)
(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) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)

localize105.0ms (1.5%)

Memory

-4.1MiB live, 191.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
accuracy	0.2142563476844202	(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	0.26791000976844204	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.12337875976844201	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.1308975586106521	(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))
accuracy	0.15625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.3887100586106521	(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	0.3887100586106521	(pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))
accuracy	0.42450345439249476	(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
accuracy	16.39779531118353	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	29.508043471816404	#s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	0.0	(.f64 (.f64 x x) #s(literal -2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	29.708637353800132	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
accuracy	33.26235965691873	#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
accuracy	0.12337875976844201	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.1308975586106521	(-.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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.26791000976844204	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Samples

77.0ms

256×

valid

Compiler

Compiled 578 to 82 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 12.0ms (21.6% of total)

ival-pow: 8.0ms (14.4% of total)

ival-mult: 7.0ms (12.6% of total)

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

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

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

const: 4.0ms (7.2% of total)

ival-log1p: 3.0ms (5.4% of total)

ival-pow2: 3.0ms (5.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series68.0ms (1%)

Memory

22.5MiB live, 100.7MiB allocated

Counts

24 → 38

Calls

Call 1

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

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))))))))
(* -2 (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos x) (sin x))
(/ 1 (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 x)
(* x (- (/ 1 (pow x 2)) 1/3))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

46.0ms

inf

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

19.0ms

-inf

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

2.0ms

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

simplify203.0ms (2.9%)

Memory

-3.5MiB live, 184.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	440
1	306	438
2	825	414
3	2609	410
4	4695	410
5	6697	410
0	8499	370

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

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))))))))
(* -2 (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos x) (sin x))
(/ 1 (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* (exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 x)
(* x (- (/ 1 (pow x 2)) 1/3))
(exp (neg (log (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))

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

rewrite182.0ms (2.6%)

Memory

20.2MiB live, 254.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	243
0	74	223
1	264	223
2	1540	223
0	8593	221

Stop Event

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

Counts

24 → 1 313

Calls

Call 1

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

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

eval229.0ms (3.3%)

Memory: 12.2MiB live, 240.9MiB allocated
Compiler: Compiled 30 326 to 3 388 computations (88.8% saved)

prune106.0ms (1.5%)

Memory

-21.8MiB live, 160.8MiB allocated

Pruning

49 alts after pruning (43 fresh and 6 done)

	Pruned	Kept	Total
New	1 045	9	1 054
Fresh	3	34	37
Picked	3	2	5
Done	0	4	4
Total	1 051	49	1 100

Accuracy

100.0%

Counts

1 100 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.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))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.2%	(fma.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.5%	(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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)))))
	99.3%	(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	76.9%	(/.f64 (fma.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.3%	(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (sin.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓	99.6%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	54.4%	(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
	53.9%	(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 (tan.f64 x) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))))
	61.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))))
	61.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))))
	58.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	58.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	58.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	6.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) #s(approx (/ (+ (* -1/3 (* x x)) 1) x) (*.f64 #s(literal -1/3 binary64) x))) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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)))
	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
	57.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 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)))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
	61.3%	(/.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	99.4%	(*.f64 (/.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
	99.3%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
	99.4%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
	99.5%	(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
	99.6%	(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
✓	53.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
	53.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
	53.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
	99.5%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
	52.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (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)))))
	53.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓	2.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
	2.6%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
✓	57.3%	#s(literal 1 binary64)

Compiler

Compiled 2 946 to 1 000 computations (66.1% saved)

regimes117.0ms (1.7%)

Memory

0.4MiB live, 119.0MiB allocated

Counts

85 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (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(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) #s(approx (+ (* (* x x) -2) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 ( (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos x) (* (sin x) (tan x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) #s(approx (neg (tan x)) (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) #s(approx (/ (+ (* -1/3 (* x x)) 1) x) (*.f64 #s(literal -1/3 binary64) x))) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x))))) #s(approx (+ 1 ( (tan x) (tan x))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #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 #s(approx (pow (tan x) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))))
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (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 (-.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 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (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 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (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) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.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))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 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 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 4 binary64)) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (sin.f64 x)) (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x))))) (fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) #s(literal 1 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) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.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))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 #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 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) #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)))))
(fma.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))) (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 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.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 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 (tan.f64 x) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))

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

Calls

4 calls:

43.0ms	(tan.f64 x)
26.0ms	x
26.0ms	(/.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))))
18.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes38.0ms (0.5%)

Memory

-9.2MiB live, 63.5MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(tan.f64 x)
11.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes31.0ms (0.4%)

Memory

18.1MiB live, 55.6MiB allocated

Counts

25 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes33.0ms (0.5%)

Memory

-30.1MiB live, 57.7MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (*.f64 x x) #s(literal 1/15 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))))

Calls

4 calls:

10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
10.0ms	(tan.f64 x)
6.0ms	x
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
61.6%	1	`(tan.f64 x)`
61.6%	1	`x`
61.6%	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))))`
61.6%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes28.0ms (0.4%)

Memory

16.2MiB live, 54.7MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.6%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
61.6%	1	`(tan.f64 x)`
61.6%	1	`x`
61.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes28.0ms (0.4%)

Memory

6.0MiB live, 43.5MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	x
6.0ms	(tan.f64 x)
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
61.3%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
61.3%	1	`(tan.f64 x)`
61.3%	1	`x`
61.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes15.0ms (0.2%)

Memory

-25.4MiB live, 21.5MiB allocated

Accuracy

Total -35.7b remaining (-130.5%)

Threshold costs -35.7b (-130.5%)

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

4 calls:

6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(tan.f64 x)
3.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Results

Accuracy	Segments	Branch
57.3%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
57.3%	1	`x`
57.3%	1	`(tan.f64 x)`
57.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify84.0ms (1.2%)

Memory

7.7MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	129
1	65	129
2	78	129
3	89	129
4	99	129
5	105	129
6	126	129
7	240	129
8	3713	129
9	7372	129

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.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 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) 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)))
#s(literal 1 binary64)

soundness1.0s (14.3%)

Memory

34.9MiB live, 625.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	644
1	492	643
2	1298	615
3	2533	615
4	4499	614
5	5282	610
6	7189	610
0	8006	545
0	61	223
1	151	222
2	409	208
3	1146	208
4	2133	208
5	3914	208
6	5292	208
0	8026	187
0	27	168
0	49	122
1	199	120
2	1435	118
0	8607	118
0	7	34
0	12	29
1	51	29
2	359	29
3	5074	17
0	10321	17

Stop Event

1×	fuel
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×	node limit

Compiler

Compiled 465 to 189 computations (59.4% saved)

preprocess83.0ms (1.2%)

Memory: -30.4MiB live, 87.0MiB allocated
Remove: (abs x)
Compiler: Compiled 372 to 156 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze131.0ms (1.9%)

sample1.1s (15.3%)

explain155.0ms (2.2%)

preprocess349.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify208.0ms (3%)

localize330.0ms (4.7%)

series5.0ms (0.1%)

simplify157.0ms (2.2%)

rewrite129.0ms (1.8%)

eval35.0ms (0.5%)

prune25.0ms (0.4%)

simplify146.0ms (2.1%)

localize139.0ms (2%)

series11.0ms (0.2%)

simplify183.0ms (2.6%)

rewrite199.0ms (2.8%)

eval197.0ms (2.8%)

prune86.0ms (1.2%)

simplify231.0ms (3.3%)

localize109.0ms (1.6%)

series17.0ms (0.2%)

simplify157.0ms (2.2%)

rewrite184.0ms (2.6%)

eval129.0ms (1.8%)

prune66.0ms (0.9%)

simplify212.0ms (3%)

localize105.0ms (1.5%)

series68.0ms (1%)

simplify203.0ms (2.9%)

rewrite182.0ms (2.6%)

eval229.0ms (3.3%)

prune106.0ms (1.5%)

regimes117.0ms (1.7%)

regimes38.0ms (0.5%)

regimes31.0ms (0.4%)

regimes33.0ms (0.5%)

regimes28.0ms (0.4%)

regimes28.0ms (0.4%)

regimes15.0ms (0.2%)

simplify84.0ms (1.2%)

soundness1.0s (14.3%)

preprocess83.0ms (1.2%)

end0.0ms (0%)

Profiling