Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze6.0ms (0%)

Memory

17.5MiB live, 17.5MiB 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)

sample9.6s (69.1%)

Memory

51.1MiB live, 9 630.8MiB allocated

Samples

7.0s	3 774×	2	valid
2.0s	4 393×	1	valid
18.0ms	89×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.6s

ival-tan: 7.2s (83.6% of total)

ival-div: 574.0ms (6.7% of total)

const: 299.0ms (3.5% of total)

adjust: 290.0ms (3.4% of total)

ival-sub: 175.0ms (2% of total)

ival-<: 48.0ms (0.6% of total)

ival-and: 14.0ms (0.2% of total)

exact: 6.0ms (0.1% of total)

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

Bogosity

explain409.0ms (3%)

Memory

25.6MiB live, 540.9MiB 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

299.0ms	250×	2	valid
55.0ms	256×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-tan: 288.0ms (86.6% of total)

ival-div: 20.0ms (6% of total)

adjust: 16.0ms (4.8% of total)

ival-sub: 7.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess409.0ms (3%)

Memory

33.5MiB live, 304.7MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series28.0ms (0.2%)

Memory

-11.1MiB live, 17.7MiB allocated

Counts

6 → 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)
#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)
x
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(* x (+ 1 (* 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
24.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
2.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
1.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))

simplify242.0ms (1.8%)

Memory

9.5MiB live, 194.7MiB 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)
x
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(* x (+ 1 (* 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)
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 (+ 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))

rewrite183.0ms (1.3%)

Memory

15.7MiB live, 156.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	49	19
2	371	19
3	5490	19
0	8463	19

Stop Event

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

Counts

6 → 231

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

eval30.0ms (0.2%)

Memory: 4.7MiB live, 48.6MiB allocated
Compiler: Compiled 4 657 to 834 computations (82.1% saved)

prune4.0ms (0%)

Memory

12.8MiB live, 12.8MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	252	2	254

Accuracy

99.4%

Counts

254 → 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))
▶	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series4.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

9 → 14

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)
#s(literal 1/45 binary64)

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))))))))
x
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	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45)
1.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45)
1.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45)

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify592.0ms (4.3%)

Memory

-67.9MiB live, 134.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	101
1	141	101
2	427	101
3	1694	101
4	5378	101
0	8085	92

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 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))))))))
x
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)
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))

rewrite166.0ms (1.2%)

Memory

-3.7MiB live, 181.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	19	52
1	82	52
2	572	52
3	7446	52
0	8151	52

Stop Event

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

Counts

9 → 152

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)
#s(literal 1/45 binary64)

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

eval49.0ms (0.4%)

Memory: -6.6MiB live, 38.9MiB allocated
Compiler: Compiled 5 911 to 826 computations (86% saved)

prune9.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	215	8	223

Accuracy

100.0%

Counts

223 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	#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))))))
▶	99.6%	#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))
▶	99.6%	#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)))))))
	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (-.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)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x 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)))))
▶	49.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 367 to 275 computations (25.1% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

series43.0ms (0.3%)

Memory

-22.0MiB live, 24.2MiB allocated

Counts

37 → 65

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))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 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)
#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))
#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))))
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 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)

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 4)
x
(* -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))
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/45 (pow x 2))
(pow x 2)
(sqrt x)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
(* 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))))))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(* 1/135 (pow x 2))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* -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)))))
(/ 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)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 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))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -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))
(* -1/3 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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
31.0ms	x	@	-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)) 1/2025 (pow x 4) x 4 1/9 (/ x (- (* 1/45 (* x x)) 1/3)) (- (* 1/45 (* x x)) 1/3) (* 1/45 (* x x)) 1/45 (* x x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* 1/3 (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt 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 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) 1/91125 (pow x 6) 6 1/27 (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) (- 1/9 (* 1/135 (* x x))) (* 1/135 (* x x)) 1/135 (- (/ 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))
6.0ms	x	@	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)) 1/2025 (pow x 4) x 4 1/9 (/ x (- (* 1/45 (* x x)) 1/3)) (- (* 1/45 (* x x)) 1/3) (* 1/45 (* x x)) 1/45 (* x x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* 1/3 (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt 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 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) 1/91125 (pow x 6) 6 1/27 (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) (- 1/9 (* 1/135 (* x x))) (* 1/135 (* x x)) 1/135 (- (/ 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))
5.0ms	x	@	0	((- (/ 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)) 1/2025 (pow x 4) x 4 1/9 (/ x (- (* 1/45 (* x x)) 1/3)) (- (* 1/45 (* x x)) 1/3) (* 1/45 (* x x)) 1/45 (* x x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* 1/3 (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt 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 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) 1/91125 (pow x 6) 6 1/27 (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) (- 1/9 (* 1/135 (* x x))) (* 1/135 (* x x)) 1/135 (- (/ 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))

Time

Variable

Point

Expression

31.0ms

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

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

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

simplify159.0ms (1.1%)

Memory

10.2MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	586
1	582	586
2	1624	583
3	5691	583
0	8231	567

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

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 4)
x
(* -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))
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/45 (pow x 2))
(pow x 2)
(sqrt x)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
(* 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))))))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(* 1/135 (pow x 2))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* -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)))))
(/ 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)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 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))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -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))
(* -1/3 (* x (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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))
(* 1/2025 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
(* -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)
-1/3
#s(literal -1/3 binary64)
(- (* 1/45 (pow x 2)) 1/3)
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(pow x 2)
(*.f64 x x)
(sqrt x)
(sqrt.f64 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)
1/27
#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))
(pow x 6)
(pow.f64 x #s(literal 6 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)
1/9
#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))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(fma.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal 1/135 binary64)) (*.f64 x x) #s(literal 1/9 binary64))
(* 1/135 (pow x 2))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(* 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 (/ (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)))
(/ 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)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) 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)))))
(* 1/91125 (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))
(/ 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)))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64)) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (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 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)))
(* -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))
(* -1/3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.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)))

rewrite175.0ms (1.3%)

Memory

30.8MiB live, 217.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	331
0	65	303
1	217	239
2	1576	239
0	8922	228

Stop Event

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

Counts

37 → 861

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))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 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)
#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))
#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))))
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 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)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (fma.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 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 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 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 x (-.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 (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 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) 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 (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 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))))
(.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)))
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(+.f64 (/.f64 (.f64 #s(literal 1/27 binary64) 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)))) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) 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)))))
(+.f64 (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 #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 (.f64 x #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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))))) (.f64 #s(literal 1/27 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))))))
(+.f64 (.f64 #s(literal 1/27 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))))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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))))))
(+.f64 (.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)))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.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(literal 1/27 binary64)))
(+.f64 (.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(literal 1/27 binary64)) (.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)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
(*.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x)) (.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 #s(literal 1/27 binary64) x))) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (*.f64 #s(literal 1/27 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 #s(literal 1/27 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x))) (-.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))) (.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x #s(literal 1/27 binary64)))) (-.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (*.f64 x #s(literal 1/27 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x #s(literal 1/27 binary64))) (.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))) (-.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/27 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (-.f64 (.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 #s(literal 1/27 binary64) x)) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (.f64 #s(literal 1/27 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/27 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 #s(literal 1/27 binary64) x) (-.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x)) (.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x #s(literal 1/27 binary64))) (.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 x #s(literal 1/27 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x #s(literal 1/27 binary64)) (-.f64 (.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))) (.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x (.f64 #s(literal 1/27 binary64) x))
(fma.f64 #s(literal 1/27 binary64) x (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x))
(fma.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (.f64 x #s(literal 1/27 binary64)))
(fma.f64 x #s(literal 1/27 binary64) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x) (*.f64 #s(literal 1/27 binary64) x))
(+.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) x))
(+.f64 (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (*.f64 x #s(literal 1/27 binary64)))
(+.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))

eval237.0ms (1.7%)

Memory: 2.6MiB live, 327.0MiB allocated
Compiler: Compiled 59 742 to 5 828 computations (90.2% saved)

prune56.0ms (0.4%)

Memory

-8.0MiB live, 83.3MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 545	6	1 551
Fresh	1	0	1
Picked	5	0	5
Done	0	2	2
Total	1 551	8	1 559

Accuracy

100.0%

Counts

1 559 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	#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) #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
▶	99.6%	#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 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.1%	#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 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
▶	98.8%	#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)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
▶	49.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (sqrt.f64 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)))))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 375 to 289 computations (22.9% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

series12.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

33 → 58

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

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))
x
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/45 (pow x 2))
(pow x 2)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/3 (sqrt x))
(sqrt x)
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
(* 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))))))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(* -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)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 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))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* -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)))
(* -1/3 (* x (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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

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

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

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

simplify138.0ms (1%)

Memory

6.3MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	541
1	556	541
2	1560	538
3	5415	538
0	8172	523

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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))
x
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/45 (pow x 2))
(pow x 2)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/3 (sqrt x))
(sqrt x)
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
(* 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))))))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(* -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)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 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))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* -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)))
(* -1/3 (* x (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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)
x
-1/3
#s(literal -1/3 binary64)
(- (* 1/45 (pow x 2)) 1/3)
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(pow x 2)
(*.f64 x 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 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(sqrt x)
(sqrt.f64 x)
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))
(pow x 6)
(pow.f64 x #s(literal 6 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)
1/9
#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))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) (*.f64 x x) #s(literal 1/9 binary64))
(* -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)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) 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)))))
(* 1/91125 (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))
(/ 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)))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64)) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 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)))
(* -1/3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) x)
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.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)))

rewrite175.0ms (1.3%)

Memory

-11.6MiB live, 217.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	357
0	66	357
1	213	357
2	1418	349
0	8457	335

Stop Event

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

Counts

33 → 317

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

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))
#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)))))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
x
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.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)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))) (.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 #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 #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 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 #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 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.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)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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)))) (fma.f64 (/.f64 #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 #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 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 #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 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (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 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 (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 1/27 binary64))) (.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))) (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 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (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 (-.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 (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 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (fma.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 #s(literal 1/81 binary64) (fma.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 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 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 #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 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/45 binary64) x)) x)
(.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x))
(.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)))
#s(literal 1/45 binary64)
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.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 (neg.f64 (neg.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))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.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)))
#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))))
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(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)))) (neg.f64 (.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) (neg.f64 x))) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (neg.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (neg.f64 x))) (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) x)) (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))
(/.f64 (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (neg.f64 x)) (neg.f64 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)) (neg.f64 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))) (.f64 (neg.f64 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (.f64 (neg.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))) (.f64 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) (neg.f64 x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (neg.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (neg.f64 x)) (.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (.f64 #s(literal 1/27 binary64) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (.f64 (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))
(fma.f64 (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) #s(literal 1/27 binary64) (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(fma.f64 #s(literal 1/27 binary64) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(-.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) (.f64 #s(literal -1/27 binary64) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(-.f64 (.f64 #s(literal 1/27 binary64) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) (.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(-.f64 (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 (neg.f64 (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) #s(literal 1/27 binary64)))
(-.f64 (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) (.f64 (neg.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(+.f64 (.f64 #s(literal 1/27 binary64) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(+.f64 (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))
(+.f64 (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) (.f64 (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
#s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)

eval113.0ms (0.8%)

Memory: 0.9MiB live, 195.2MiB allocated
Compiler: Compiled 31 342 to 2 775 computations (91.1% saved)

prune18.0ms (0.1%)

Memory

4.2MiB live, 50.1MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	762	6	768
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	766	10	776

Accuracy

100.0%

Counts

776 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #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))
✓	49.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (sqrt.f64 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)))))
	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64)))))
	99.0%	#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))))
	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
	98.8%	#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))))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 850 to 338 computations (60.2% saved)

regimes10.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

21 → 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 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64)))))
#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 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #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)) (/.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))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (sqrt.f64 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)) #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 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 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) #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 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 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (-.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)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x 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)))))

Calls

2 calls:

5.0ms	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)

regimes29.0ms (0.2%)

Memory

-50.3MiB live, 6.0MiB allocated

Counts

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

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:

26.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
2.0ms	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

5.2MiB live, 5.2MiB 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 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x #s(approx (- (* 1/45 (* x x)) 1/3) #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 #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64)))))

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
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.2%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x #s(approx (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))) #s(literal 1/9 binary64)))))

Outputs

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

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
99.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.1%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.0%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Accuracy

Total -0.2b remaining (-25.7%)

Threshold costs -0.2b (-25.7%)

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
99.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.0%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify67.0ms (0.5%)

Memory

-5.3MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	155
1	82	155
2	162	155
3	344	155
4	499	155
5	552	155
6	635	155
7	849	155
8	1416	155
9	2622	155
10	5787	155
11	7250	155

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

soundness832.0ms (6%)

Memory

35.3MiB live, 554.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	541
1	556	541
2	1560	538
3	5415	538
0	8172	523
0	14	52
0	19	52
1	82	52
2	572	52
3	7446	52
0	8151	52
0	208	586
1	582	586
2	1624	583
3	5691	583
0	8231	567
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 395 to 242 computations (38.7% saved)

preprocess73.0ms (0.5%)

Memory: 11.7MiB live, 57.8MiB allocated
Compiler: Compiled 374 to 166 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0%)

sample9.6s (69.1%)

explain409.0ms (3%)

preprocess409.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series28.0ms (0.2%)

simplify242.0ms (1.8%)

rewrite183.0ms (1.3%)

eval30.0ms (0.2%)

prune4.0ms (0%)

simplify0.0ms (0%)

series4.0ms (0%)

simplify592.0ms (4.3%)

rewrite166.0ms (1.2%)

eval49.0ms (0.4%)

prune9.0ms (0.1%)

simplify0.0ms (0%)

series43.0ms (0.3%)

simplify159.0ms (1.1%)

rewrite175.0ms (1.3%)

eval237.0ms (1.7%)

prune56.0ms (0.4%)

simplify0.0ms (0%)

series12.0ms (0.1%)

simplify138.0ms (1%)

rewrite175.0ms (1.3%)

eval113.0ms (0.8%)

prune18.0ms (0.1%)

regimes10.0ms (0.1%)

regimes29.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify67.0ms (0.5%)

soundness832.0ms (6%)

preprocess73.0ms (0.5%)

end0.0ms (0%)

Profiling