Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
25%	12.4%	37.3%	50.3%	0%	0%	0%	3
62.5%	31.1%	18.6%	50.3%	0%	0%	0%	4
81.3%	40.4%	9.3%	50.3%	0%	0%	0%	5
90.6%	45%	4.7%	50.3%	0%	0%	0%	6
95.3%	47.4%	2.3%	50.3%	0%	0%	0%	7
97.7%	48.5%	1.2%	50.3%	0%	0%	0%	8
98.8%	49.1%	0.6%	50.3%	0%	0%	0%	9
99.4%	49.4%	0.3%	50.3%	0%	0%	0%	10
99.7%	49.5%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0.1%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample10.0s (61.7%)

Memory

124.8MiB live, 9 693.1MiB allocated

Samples

7.9s	3 967×	2	valid
1.5s	4 210×	1	valid
7.0ms	79×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.9s

ival-tan: 7.7s (85.9% of total)

ival-div: 505.0ms (5.6% of total)

const: 259.0ms (2.9% of total)

adjust: 231.0ms (2.6% of total)

ival-sub: 199.0ms (2.2% of total)

ival-<: 47.0ms (0.5% of total)

ival-and: 12.0ms (0.1% of total)

exact: 5.0ms (0.1% of total)

ival-assert: 4.0ms (0% of total)

Bogosity

explain567.0ms (3.5%)

Memory

-0.0MiB live, 532.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

452.0ms	230×	2	valid
62.0ms	282×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-tan: 357.0ms (72.8% of total)

ival-div: 113.0ms (23.1% of total)

adjust: 13.0ms (2.7% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess363.0ms (2.2%)

Memory

37.2MiB live, 259.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	17	19
2	27	17
3	38	17
4	58	17
5	100	17
6	181	17
7	378	17
8	901	17
9	2391	17
10	4368	17
11	5353	17
12	5676	17
13	5848	17
14	6088	17
15	6293	17
0	6	8
0	10	8
1	15	8
2	18	8
3	23	8
4	32	8
5	54	8
6	92	8
7	189	8
8	460	8
9	796	8
10	1468	8
11	2558	8
12	3074	8
13	3460	8
14	3745	8
15	3871	8
16	3898	8
17	3901	8
18	3904	8
19	3916	8
20	3919	8
21	3922	8
22	3925	8
23	3928	8
24	3931	8
25	3934	8
26	3937	8
27	7619	8
0	8164	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify289.0ms (1.8%)

Memory

-27.1MiB live, 117.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	15	19
2	18	19
3	23	19
4	32	19
5	54	19
6	92	19
7	189	19
8	460	19
9	796	19
10	1468	19
11	2558	19
12	3074	19
13	3460	19
14	3745	19
15	3871	19
16	3898	19
17	3901	19
18	3904	19
19	3916	19
20	3919	19
21	3922	19
22	3925	19
23	3928	19
24	3931	19
25	3934	19
26	3937	19
27	7619	19
0	8164	19

Stop Event

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

Calls

Call 1

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

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

localize233.0ms (1.4%)

Memory

-13.1MiB live, 223.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(tan.f64 x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy	60.32775066618313	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

197.0ms	115×	2	valid
27.0ms	141×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-tan: 177.0ms (82.8% of total)

ival-div: 28.0ms (13.1% of total)

adjust: 6.0ms (2.8% of total)

ival-sub: 3.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

4 → 16

Calls

Call 1

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

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (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
(* 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 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (sin x) (cos x))

Calls

3 calls:

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

simplify191.0ms (1.2%)

Memory

41.5MiB live, 175.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	167
1	223	167
2	713	161
3	3134	155
4	7304	155
0	8582	139

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (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
(* 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 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (sin x) (cos x))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.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)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(fma.f64 (-.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (.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)) 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 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite162.0ms (1%)

Memory

-6.2MiB live, 138.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	49	17
2	371	17
3	5490	17
0	8463	17

Stop Event

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

Counts

4 → 224

Calls

Call 1

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

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

eval57.0ms (0.4%)

Memory: -4.3MiB live, 41.0MiB allocated
Compiler: Compiled 4 521 to 804 computations (82.2% saved)

prune4.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	2	240

Accuracy

99.4%

Counts

240 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify221.0ms (1.4%)

Memory

0.8MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	19	54
1	34	54
2	76	54
3	188	54
4	387	54
5	541	54
6	621	54
7	801	54
8	1270	54
9	1964	54
10	3893	54
11	5305	54
12	5789	54
13	6008	54
14	6195	54
15	6455	54
16	6870	54
0	8904	54

Stop Event

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

Calls

Call 1

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

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

localize292.0ms (1.8%)

Memory

13.5MiB live, 249.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy	0.37890625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.060817894373133966	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.37890625	(*.f64 #s(literal 1/3 binary64) x)

Samples

240.0ms	115×	2	valid
41.0ms	141×	1	valid

Compiler

Compiled 45 to 15 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-tan: 167.0ms (62.6% of total)

adjust: 66.0ms (24.8% of total)

ival-div: 10.0ms (3.8% of total)

const: 9.0ms (3.4% of total)

ival-mult: 9.0ms (3.4% of total)

ival-sub: 3.0ms (1.1% of total)

ival-add: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

6 → 13

Calls

Call 1

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

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))
1.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))
1.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))

Time

Variable

Point

Expression

2.0ms

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))

1.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))

1.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))

simplify176.0ms (1.1%)

Memory

-3.2MiB live, 133.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	100
1	141	100
2	427	100
3	1694	100
4	5378	100
0	8085	91

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.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)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))

rewrite139.0ms (0.9%)

Memory

-14.6MiB live, 118.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	19	49
1	82	49
2	572	49
3	7446	49
0	8151	49

Stop Event

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

Counts

6 → 131

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) x) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) x) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))))
(/.f64 (.f64 x (neg.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1/45 binary64)) (.f64 (neg.f64 x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) x (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) x))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/45 binary64) (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 x (/.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (.f64 x (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
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(fma.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
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(fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/45 binary64) x)) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(+.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval17.0ms (0.1%)

Memory: 34.4MiB live, 34.4MiB allocated
Compiler: Compiled 4 360 to 581 computations (86.7% saved)

prune21.0ms (0.1%)

Memory

-31.5MiB live, 26.1MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	5	142
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	137	7	144

Accuracy

100.0%

Counts

144 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 291 to 219 computations (24.7% saved)

simplify158.0ms (1%)

Memory

26.4MiB live, 113.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
cost-diff	1	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
cost-diff	0	(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
cost-diff	1	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	0	(*.f64 #s(literal 1/45 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	435
0	66	435
1	106	433
2	237	433
3	607	433
4	1087	433
5	1402	433
6	1708	433
7	2084	433
8	2555	433
9	3272	433
10	5173	433
11	6581	433
12	7050	433
0	8125	422

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal 1/45 binary64) x)
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)))
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x)
(*.f64 x x)
x
(*.f64 #s(literal 1/45 binary64) x)
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)

localize483.0ms (3%)

Memory

-19.4MiB live, 500.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
accuracy	0.17806625976844204	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.34375	(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
accuracy	0.38671875	(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
accuracy	0.00390625	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
accuracy	0.17806625976844204	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.30859375	(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
accuracy	0.3671875	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
accuracy	0.0859375	(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.1640625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.34375	(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)
accuracy	0.359375	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.00390625	(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.23046875	(*.f64 #s(literal 1/45 binary64) x)
accuracy	0.37890625	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.0859375	(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.140625	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.1640625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.23046875	(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))

Samples

156.0ms	93×	2	valid
136.0ms	114×	1	valid
133.0ms	49×	3	valid

Compiler

Compiled 357 to 41 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-tan: 162.0ms (45.6% of total)

ival-mult: 59.0ms (16.6% of total)

adjust: 32.0ms (9% of total)

const: 31.0ms (8.7% of total)

ival-add: 29.0ms (8.2% of total)

ival-div: 24.0ms (6.8% of total)

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

ival-pow: 8.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

23 → 53

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal 1/45 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(literal 1/135 binary64) (.f64 x x))

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(pow x 2)
(* 1/45 x)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/45 (pow x 2))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(* 1/135 (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (* 1/2025 (pow x 4)) (+ (* (* x x) (* 1/45 x)) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* x x) (* 1/45 x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (* 1/45 (* x x)) (/ x (- (* 1/45 (* x x)) 1/3)) (* 1/3 x) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)))

5.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (* 1/2025 (pow x 4)) (+ (* (* x x) (* 1/45 x)) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* x x) (* 1/45 x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (* 1/45 (* x x)) (/ x (- (* 1/45 (* x x)) 1/3)) (* 1/3 x) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)))

5.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (* 1/2025 (pow x 4)) (+ (* (* x x) (* 1/45 x)) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* x x) (* 1/45 x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (* 1/45 (* x x)) (/ x (- (* 1/45 (* x x)) 1/3)) (* 1/3 x) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)))

simplify192.0ms (1.2%)

Memory

-4.3MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	514
1	528	514
2	1464	511
3	5139	511
0	8175	496

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(pow x 2)
(* 1/45 x)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/45 (pow x 2))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(* 1/135 (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.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)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
(* 1/2025 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(pow x 2)
(*.f64 x x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/135 (pow x 2)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(* 1/27 x)
(*.f64 #s(literal 1/27 binary64) x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* -1/5 (pow x 2)) 3))
(.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/1125 binary64) (.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3/5 (pow x 2))))
(.f64 (fma.f64 #s(literal 3/5 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/375 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5625 binary64) (.f64 x x)) #s(literal 1/375 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
(* 1/135 (pow x 2))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2025 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/135 (pow x 2))
(.f64 #s(literal -1/135 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/135 binary64)) x) x)
(* 1/91125 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(* 1/91125 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)))
(/ 45 x)
(/.f64 #s(literal 45 binary64) x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal -675 binary64) (*.f64 x x))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 151875 binary64) (.f64 x x)) #s(literal 10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) #s(literal 45 binary64))) x)
(/ 2025 (pow x 3))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -6834375 binary64) (/.f64 #s(literal 102515625 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -30375 binary64) (.f64 x x)) #s(literal 2025 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(/.f64 (+.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -10125 binary64) (/.f64 #s(literal 151875 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (.f64 x x)) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) #s(literal -1 binary64) (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))

rewrite288.0ms (1.8%)

Memory

22.9MiB live, 160.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	301
0	66	299
1	228	219
2	1658	219
0	8169	207

Stop Event

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

Counts

23 → 1 043

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal 1/45 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(literal 1/135 binary64) (.f64 x x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 #s(literal -1/3 binary64) x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
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(sqrt.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))
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eval517.0ms (3.2%)

Memory: -58.7MiB live, 121.9MiB allocated
Compiler: Compiled 28 365 to 2 908 computations (89.7% saved)

prune29.0ms (0.2%)

Memory

-11.8MiB live, 35.4MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	710	6	716
Fresh	0	0	0
Picked	4	1	5
Done	0	2	2
Total	714	9	723

Accuracy

100.0%

Counts

723 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	35.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 434 to 336 computations (22.6% saved)

simplify124.0ms (0.8%)

Memory

11.5MiB live, 107.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
cost-diff	1	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
cost-diff	0	#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
cost-diff	0	(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
cost-diff	1	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
cost-diff	0	#s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
cost-diff	3	(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	0	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	499
0	75	499
1	113	499
2	220	499
3	558	499
4	1632	499
5	3847	493
6	5390	493
7	6582	493
0	8175	474

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
x
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x)))
#s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x)
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) #s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) #s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
x
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) #s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) #s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)

localize429.0ms (2.7%)

Memory

39.6MiB live, 491.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
accuracy	0.17806625976844204	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.34375	(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
accuracy	0.38671875	(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
accuracy	0.00390625	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
accuracy	0.17806625976844204	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.30859375	(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
accuracy	0.3671875	(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
accuracy	0.0	#s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.23046875	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	40.48096234174937	(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.0	#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
accuracy	0.1640625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.34375	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
accuracy	0.359375	(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.0	#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
accuracy	0.140625	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.1640625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.23046875	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))

Samples

169.0ms	93×	2	valid
116.0ms	49×	3	valid
102.0ms	114×	1	valid

Compiler

Compiled 354 to 43 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-tan: 155.0ms (45.9% of total)

const: 35.0ms (10.4% of total)

ival-div: 33.0ms (9.8% of total)

adjust: 31.0ms (9.2% of total)

ival-mult: 29.0ms (8.6% of total)

ival-pow: 27.0ms (8% of total)

ival-add: 17.0ms (5% of total)

ival-sub: 10.0ms (3% of total)

exact: 1.0ms (0.3% of total)

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

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

series12.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

23 → 56

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(literal 1/135 binary64) (.f64 x x))

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/45 (pow x 2))
(pow x 3)
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(* 1/135 (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
1/45
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (* (+ (/ 1/3 (* x x)) 1/45) (pow x 3)) (- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (+ (/ 1/3 (* x x)) 1/45) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (* 1/45 (* x x)) (/ 1/3 (* x x)) (pow x 3) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)))

4.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (* (+ (/ 1/3 (* x x)) 1/45) (pow x 3)) (- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (+ (/ 1/3 (* x x)) 1/45) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (* 1/45 (* x x)) (/ 1/3 (* x x)) (pow x 3) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)))

3.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (* (+ (/ 1/3 (* x x)) 1/45) (pow x 3)) (- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (+ (/ 1/3 (* x x)) 1/45) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (* 1/45 (* x x)) (/ 1/3 (* x x)) (pow x 3) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)))

simplify128.0ms (0.8%)

Memory

-24.5MiB live, 121.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	539
1	530	539
2	1483	528
3	5316	528
0	8389	513

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/45 (pow x 2))
(pow x 3)
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(* 1/135 (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
1/45
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.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)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* -1/5 (pow x 2)) 3))
(.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/1125 binary64) (.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/135 (pow x 2)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(* 1/27 x)
(*.f64 #s(literal 1/27 binary64) x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3/5 (pow x 2))))
(.f64 (fma.f64 #s(literal 3/5 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/375 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5625 binary64) (.f64 x x)) #s(literal 1/375 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
(* 1/135 (pow x 2))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/2025 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ 45 x)
(/.f64 #s(literal 45 binary64) x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal -675 binary64) (*.f64 x x))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 151875 binary64) (.f64 x x)) #s(literal 10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) #s(literal 45 binary64))) x)
(* 1/2025 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(* -1/135 (pow x 2))
(.f64 #s(literal -1/135 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/135 binary64)) x) x)
(* 1/91125 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(* 1/91125 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)))
(/ 2025 (pow x 3))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -6834375 binary64) (/.f64 #s(literal 102515625 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -30375 binary64) (.f64 x x)) #s(literal 2025 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(/.f64 (+.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -10125 binary64) (/.f64 #s(literal 151875 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (.f64 x x)) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) #s(literal -1 binary64) (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))

rewrite199.0ms (1.2%)

Memory

-18.7MiB live, 172.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	381
0	75	381
1	243	381
2	1633	381
0	8400	369

Stop Event

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

Counts

23 → 241

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(literal 1/135 binary64) (.f64 x x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 x (/.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
(.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 x (/.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
(.f64 x #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 x x)) x)
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
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(.f64 (.f64 #s(literal 1/45 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/45 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/45 binary64) x)))
(.f64 x (.f64 #s(literal 1/45 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x))) x)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) x)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (neg.f64 x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))))
(.f64 (fabs.f64 (.f64 #s(literal 1/135 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/135 binary64) x)) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/45 binary64) x)) (fabs.f64 (*.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 1/135 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/135 binary64) x) x)
(.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/135 binary64)))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(.f64 #s(literal 1/45 binary64) (fabs.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/135 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/135 binary64) x)))
(.f64 x (.f64 #s(literal 1/135 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 1/135 binary64) (.f64 x x)))

eval60.0ms (0.4%)

Memory: 12.4MiB live, 57.4MiB allocated
Compiler: Compiled 15 099 to 1 646 computations (89.1% saved)

prune13.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	343	6	349
Fresh	0	1	1
Picked	3	2	5
Done	0	3	3
Total	346	12	358

Accuracy

100.0%

Counts

358 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
✓	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(approx (- 1/9 (* 1/135 (* x x))) #s(literal 1/9 binary64)))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(approx (- 1/9 (* 1/135 (* x x))) #s(literal 1/9 binary64))))))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	35.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x))))

Compiler

Compiled 934 to 408 computations (56.3% saved)

regimes13.0ms (0.1%)

Memory

-28.4MiB live, 16.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(approx (- 1/9 (* 1/135 (* x x))) #s(literal 1/9 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(approx (- 1/9 (* 1/135 (* x x))) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))

Calls

2 calls:

8.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.7%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 (-.f64 (*.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))

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

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total -0.1b remaining (-30.7%)

Threshold costs -0.1b (-30.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify81.0ms (0.5%)

Memory

-45.0MiB live, 53.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	146
1	64	146
2	98	146
3	143	146
4	190	146
5	243	146
6	330	146
7	547	146
8	1116	146
9	2330	146
10	6224	146
11	7708	146

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

soundness621.0ms (3.8%)

Memory

31.1MiB live, 354.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	539
1	530	539
2	1483	528
3	5316	528
0	8389	513
0	186	514
1	528	514
2	1464	511
3	5139	511
0	8175	496
0	14	49
0	19	49
1	82	49
2	572	49
3	7446	49
0	8151	49
0	67	167
1	223	167
2	713	161
3	3134	155
4	7304	155
0	8582	139

Stop Event

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

Compiler

Compiled 317 to 177 computations (44.2% saved)

preprocess45.0ms (0.3%)

Memory: -14.6MiB live, 73.5MiB allocated
Compiler: Compiled 356 to 144 computations (59.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze8.0ms (0.1%)

sample10.0s (61.7%)

explain567.0ms (3.5%)

preprocess363.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify289.0ms (1.8%)

localize233.0ms (1.4%)

series4.0ms (0%)

simplify191.0ms (1.2%)

rewrite162.0ms (1%)

eval57.0ms (0.4%)

prune4.0ms (0%)

simplify221.0ms (1.4%)

localize292.0ms (1.8%)

series4.0ms (0%)

simplify176.0ms (1.1%)

rewrite139.0ms (0.9%)

eval17.0ms (0.1%)

prune21.0ms (0.1%)

simplify158.0ms (1%)

localize483.0ms (3%)

series17.0ms (0.1%)

simplify192.0ms (1.2%)

rewrite288.0ms (1.8%)

eval517.0ms (3.2%)

prune29.0ms (0.2%)

simplify124.0ms (0.8%)

localize429.0ms (2.7%)

series12.0ms (0.1%)

simplify128.0ms (0.8%)

rewrite199.0ms (1.2%)

eval60.0ms (0.4%)

prune13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify81.0ms (0.5%)

soundness621.0ms (3.8%)

preprocess45.0ms (0.3%)

end0.0ms (0%)

Profiling